Set

Problem 101

Refer to the table below. Of the 36 possible outcomes, determine the number for which the sum (for both dice) is 6 . \begin{tabular}{|c|c|c|c|c|c|c|} \hline & \multicolumn{6}{|c|}{ Die 2 } \\ \hline Die 1 & $\mathbf{1}$ & $\mathbf{2}$ & 3 & $\mathbf{4}$ & $\mathbf{5}$ & $\mathbf{6}$ \\ \hline $\mathbf{1}$ & $(1,1)$ & $(1,2)$ & $(1,3)$ & $(1,4)$ & $(1,5)$ & $(1,6)$ \\ \hline $\mathbf{2}$ & $(2,1)$ & $(2,2)$ & $(2,3)$ & $(2,4)$ & $(2,5)$ & $(2,6)$ \\ \hline 3 & $(3,1)$ & $(3,2)$ & $(3,3)$ & $(3,4)$ & $(3,5)$ & $(3,6)$ \\ \hline 4 & $(4,1)$ & $(4,2)$ & $(4,3)$ & $(4,4)$ & $(4,5)$ & $(4,6)$ \\ \hline 5 & $(5,1)$ & $(5,2)$ & $(5,3)$ & $(5,4)$ & $(5,5)$ & $(5,6)$ \\ \hline 6 & $(6,1)$ & $(6,2)$ & $(6,3)$ & $(6,4)$ & $(6,5)$ & $(6,6)$ \\ \hline \end{tabular}
One can roll a sum of 6 in $\square$ way(s)

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Problem 102

There are 500 stodents in the school 100 are in dub $A$ 200 are in club $B$ 150 are in Clab $C$ 50 are in all three clubs 75 are in both Club A and Club B 60 are in both Club $A$ and Club C 100 are in both club B and Club C
Question 5 : Match the Sets with their Cardinality Draw the diagram and fill in the cardinality of each region, since you will use your answers from this question in the next question. $(A \cap B) \cap C$ Chocse : Hint: This is the purple region ( 3 ) which is those in $A$ and $B$ minus those in all three sets. $(A \cap C) \cap B^{\circ}$ Hint this is the orange region ("5) which is those in $A$ and C minus those in all three sets. Chocae $=$ Hint this is the green region ("7) which is those in B and $C$ minus those in all three sets.
An(BuC) Choose:
Hint: this is the pink region ("1) which is those in A minus those in either $B$ or $C$ , that means: The whole red $A$ circle minus purple (\#3), orange (\#5). and brown("6), look to your other answers this one.

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Problem 103

In the following Venn diagram, $U$ is the set of students in a class, $A$ is the set of students who have brown hair, and $B$ is the set of students who have blue ey Determine how many students have brown hair or blue eyes.
Answer How to enter your answer (opens in new window) $\square$

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Problem 104

horic USง Cours MATH Hawk $1 \times$ Login MyE4 rail a https.//learn.hawkeslearning.com/Portal/Lesson/lesson_certify\#! B. Booking.com McAfee Security
Use the given sets to find $(A \cap B) \cap C$ . $\begin{array}{l} A=\{1,2,3,4,5,6,7,8\} \\ B=\{5,7,9,11,13,15\} \\ C=\{5,6,8,10,12,14\} \end{array}$
Answer

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Problem 105

The table shows a proportional relationship between the milliliters ( mL ) of red paint and milliliters of yellow paint to make a certain shade of orange. \begin{tabular}{cc} \multicolumn{2}{c}{ Paint mixtures } \\ Red $(\mathrm{mL})$ & Yellow $(\mathrm{mL})$ \\ \hline 10.5 & 28 \\ 7.5 & 20 \\ 9 & 24 \\ $?$ & $?$ \end{tabular}
A row of values is missing in the table. Which of the following mixtures of paint could be used as the missing values in the table?
Choose 2 answers:
A 1.25 mL red and 5 mL yellow B 1.5 mL red and 4 mL yellow (c) 8 mL red and 3 mL yellow
D 7 mL red and 16 mL yellow E 4.5 mL red and 12 mL yellow

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Problem 106

Draw a line to connect the following terms to their definitions. 1 atom 2 proton 3 neutron A a positively charged atomic particle
B an uncharged atomic particle C the smallest particle of an element that has the chemical properties of that element

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Problem 107

If $A=\{1,2,3,4,5,6,7,8\}$ , then: $(1,3,4) \circ(5,1,2)$ equals: $(1,2,5,3,4)$
Select one: True False

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Problem 108

$2 \in A \cup B$ implies that if $2 \notin A$ then $2 \in B$ .
Select one: True False

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Problem 109

The accompanying data represent the wait time (in minutes) for a random sample of forty visitors to an amusement park ride. Complete parts (a) and (b). \begin{tabular}{llllllllll} 19 & 1 & 2 & 24 & 5 & 11 & 5 & 9 & 9 & 13 \\ 7 & 9 & 33 & 9 & 3 & 11 & 6 & 45 & 3 & 25 \\ 5 & 17 & 16 & 32 & 9 & 61 & 17 & 7 & 8 & 9 \\ 10 & 4 & 19 & 5 & 13 & 6 & 21 & 7 & 12 & 4 \end{tabular} (a) Determine and interpret the quartiles.
By the quartiles, about $\square$ $\%$ of the wait times are $\mathrm{Q}_{1}=$ $\square$ minute(s) or less, and about $\square$ $\%$ of the wait times exceed $Q_{1}$ minute(s); about $\square$ $\%$ of the wait times are $\mathrm{Q}_{2}=$ $\square$ minute(s) 0 $\square$ $\%$ of the wait times are less and about $\square$ $\%$ of the wait times exceed $\mathrm{Q}_{2}$ minute(s); about $\square$ $\mathrm{Q}_{3}=$ minute(s) or less, and about $\square$ $\%$ of the wait times exceed $\mathrm{Q}_{3}$ minute(s). (Type integers or decimals. Do not round.)

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Problem 110

The accompanying data represent the wait time (in minutes) for a random sample of fo visitors to an amusement park ride. Complete parts (a) and (b). \begin{tabular}{llllllllll} 19 & 1 & 2 & 24 & 5 & 11 & 5 & 9 & 9 & 13 \\ 7 & 9 & 33 & 9 & 3 & 11 & 6 & 45 & 3 & 25 \\ 5 & 17 & 16 & 32 & 9 & 61 & 17 & 7 & 8 & 9 \\ 10 & 4 & 19 & 5 & 13 & 6 & 21 & 7 & 12 & 4 \end{tabular} $75 \%$ of the wait times exceed $Q_{1}$ minute(s); about $50 \%$ of the wait times are $\mathrm{Q}_{2}=\mathrm{s}$ minute(s) or less and about $50 \%$ of the wait times exceed $\mathrm{Q}_{2}$ minute(s); about $75 \%$ wait times are $Q_{3}=17$ minute(s) or less, and about $25 \%$ of the wait times exceed $Q$ minute(s). (Type integers or decimals. Do not round.) (b) Does the data set have outliers? Select the correct choice and, if necessary, fill in answer box to complete your choice. A. The outlier(s) in the data set is(are) $\square$ . (Typt a whole number. Use a comma to separate answers as needed.) B. This data set does not have any outliers.

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Problem 111

The following list gives the number of pets for each of 8 students. $4,3,1,2,4,1,1,0$
Send data to calculator
Find the modes of this data set. If there is more than one mode, write them separated by commas. If there is no mode, click on "No mode."

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Problem 112

Drag the numbers below to put them in order from least to greatest: $\begin{array}{llllll} 3.702 & 3.785 & 3.63 & 3.621 & 3.6 & 3.73 \end{array}$

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Problem 113

Each of the following three data sets represents the IQ scores of a random sample of adults. IQ scores are known to have a mean and median of 100 . \begin{tabular}{|c|c|c|c|c|c|} \hline \multicolumn{6}{|c|}{ Sample of Size 5 data set } \\ \hline 108 & 119 & 95 & 92 & 93 & \\ \hline \end{tabular} \begin{tabular}{|c|c|c|c|c|c|} \hline \multicolumn{6}{|c|}{ Sample of Size 12} \\ \hline 108 & 119 & 95 & 92 & 93 & 96 \\ \hline 93 & 98 & 106 & 112 & 112 & 103 \\ \hline \end{tabular} \begin{tabular}{|c|c|c|c|c|c|} \hline \multicolumn{7}{|c|}{ Sample of Size 30 } \\ \hline 108 & 119 & 95 & 92 & 93 & 96 \\ \hline 93 & 98 & 106 & 112 & 112 & 103 \\ \hline 100 & 102 & 105 & 109 & 91 & 94 \\ \hline 98 & 98 & 112 & 104 & 100 & 91 \\ \hline 101 & 100 & 95 & 95 & 101 & 109 \\ \hline \end{tabular}
What is the median of the new sample of size 30 ? 100.5 (Type an integer or decimal rounded to one decimal place as needed.)
For each sample size, state what happens to the mean and median.
For each sample size, the mean remains constant, and the median substantially increases
Comment on the role that the number of observations plays in resistance. A. As the sample size increases, the impact of the misrecorded data on the mean decreases. B. As the sample size increases, the impact of the misrecorded data on the mean remains the same.

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Problem 114

Check My Work Note: Please make sure to properly format your answers. All dollar figures in the answers need to include the dollar sign and any amount over 1,000 should include the comma ( $\$ 2,354,67$ ). All percentage values in the answers need to include a percentage sign (\%). For all items without specific rounding instructions, round your answers to two decimal places, show both decimal places (5.06).
The Vetrone family members are all Cincinnati Reds baseball fans. They went to five games last season. The cost of each game, including parking, tickets, and food, is listed below. \ $266, \$201, \$197, \$188, \$162 Round your answers to the nearest cent. a. What is the mean cost per game attended? b. What is the range?$ \square $c. What is the variance?$ \square $d. What is the standard deviation?$ \square $e. If all five members of the Vetrone family went to each game, what was the mean cost per person to attend each game?$ \square$

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Problem 115

Which sets of ordered pairs represent functions from $A$ to $B$ ? (Select all that app $A=\{a, b, c\} \text { and } B=\{1,2,3,4\}$ $\{(a, 2),(c, 3),(c, 4),(b, 4)\}$ $\{(a, 2),(b, 3),(c, 4)\}$ $\{(2, a),(1, a),(3, c),(4, b)\}$ Need Help? Read it Watch it Submit Answer 3. [-/1 Points] DETAILS MY NOTES
Determine whether the equation represents $y$ as a function of $x$ . $y=\sqrt{x+3}$ Yes No Need Help? Read It Watch it 4. [-/1 Points] DETAILS MY NOTES
Determine whether the equation represents $y$ as a function of $x$ . $|y|=4-x$ Yes No

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Problem 116

5. Colour in the base ten blocks you would use to make the number: 1,485 $\square$ $\square$ $\square$ $\square$ $\square$ $\square$ III $\square$ $\square$ $\square$ WWmm $\square$ $\square$ \#\#\#\#\# $\square$ $\square$ $\square$ $\square$ (1) 0

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Problem 117

Willy runs a small company with 10 employees. He decides to pick a simple random sample of 3 employees to go on a business trip. He numbers them $0-9$ and uses the random digit table printed below to select the sample.
Which employees are in the sample? 855764519596565 Choose 1 answer: (A) $8,5,5$ (B) $8,5,7$ (c) $8,5,7,6$ (D) $85,57,64$

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Problem 118

The data set below on the left represents the annual rate of return (in percent) of eight randomly sampled bond mutual funds, and the data set below on the right represents the annual rate of return (in percent) of eight randomly sampled stock mutual funds. Use the information in the table below to complete parts (a) through (d). Then complete part (e). \begin{tabular}{|c|c|c|c|} \hline \multicolumn{2}{|l|}{\begin{tabular}{l} Bond mutual \\ funds \end{tabular}} & \multicolumn{2}{|l|}{\begin{tabular}{l} Stock mutual \\ funds \end{tabular}} \\ \hline 3.2 & 1.8 & 9.4 & 7.6 \\ \hline 1.9 & 3.4 & 9.1 & 7.4 \\ \hline 2.4 & 2.7 & 8.4 & 7.2 \\ \hline 1.6 & 2.0 & 8.1 & 6.9 \\ \hline \end{tabular}
What is the CV of the data set for height in inches? $\square$ (Type an integer or decimal rounded to three decimal places as needed.)
What is the CV of the data set for height in centimeters? $\square$ (Type an integer or decimal rounded to three decimal places as needed.)
What is true of the coefficient of variation? A. The coefficient of variation is always more meaningful than the standard deviation. B. The coefficient of variation is best used when comparing two data sets that use the same units of measure. C. The coefficient of variation does not give as accurate a measurement as the standard deviation. D. When converting units of measure, the coefficient of variation is unchanged.

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Problem 119

To predict future enrollment in a school district, fifty households within the district were sampled, and asked to disclose the number of children under the age of five living in the household. The results of the survey are presented in the table. Complete parts (a) through (c) below. \begin{tabular}{cc} \hline \begin{tabular}{l} Number of ChildrenNumber of \\ under $\mathbf{5}$ \end{tabular} & \begin{tabular}{c} Households \end{tabular} \\ \hline 0 & 17 \\ \hline 1 & 14 \\ \hline 2 & 14 \\ \hline 3 & 4 \\ \hline 4 & 1 \\ \hline \end{tabular} \begin{tabular}{cc} \hline Number of & Relative \\ Children under & Frequency \\ \hline 0 & $\square$ \\ \hline 1 & $\square$ \\ \hline 2 & $\square$ \\ \hline 3 & $\square$ \\ \hline 4 & $\square$ \end{tabular} (Type integers or decimals. Do not round.) (b) What percentage of households has two children under the age of 5 ? $\square$ $\%$ (Type an integer or a decimal. Do not round.) (c) What percentage of households has one or two children under the age of 5 ? $\square$ $\%$ (Type an integer or a decimal. Do not round.)

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Problem 120

Listen
Find the perimeter and area of the polygon with the given vertice $W(5,-1), X(5,6), Y(2,-1), Z(2,6)$
The perimeter is $\square$ units. The area is $\square$ square units.

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Problem 121

Find the perimeter and area of the polygon with the given vertices. Round your answers to the nearest tenth, necessary. $E(6,-2), F(6,5), G(-1,5)$
The perimeter is about $\square$ units. The area is about $\square$ square units.

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Problem 122

Eheck the boxes in the accompanying figures to indicate which regions should be shaded to represent each set. (Select all that apply.) (a) $A \cup B$

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Problem 123

Construct a boxplot for the data set below. \begin{tabular}{rrrrr} \hline 32 & 29 & 19 & 5 & 8 \\ 19 & 35 & 7 & 13 & 17 \\ 17 & 11 & 17 & 17 & 5 \\ 8 & 14 & 14 & 14 & 10 \\ \hline \end{tabular}

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Problem 124

Which pair of numbers has an LCM of 60? 2 and 12 5 and 12 6 and 12 3 and 12

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Problem 125

Last week, there were several types of animals at a local animal shelter. Let $U$ be the set of the types of animals at the shelter last week. During the week, some of the animals were treated by the veterinarians on staff. Let $B$ . be the set of animal types that were treated by Dr. Brown. Let $D$ be the set of animal types that were treated by Dr. Dean. Let $N$ be the set of animal types that were treated by Dr. Nelson. Use the Venn diagram to get your answers below.
Consider this set (which is written in descriptive form): The set of animal types that were not treated by Dr. Nelson, but were treated by Dr. Brown or Dr. Dean (a) Which of these is a correct way to write the set? $N^{\prime} \cap(B \cup D)$ $N^{\prime} \cup(B \cup D)$ $N^{\prime} \cap(B \cap D)$ $N^{\prime} \cup(B \cap D)$ (b) Write the set in roster form. $\square$ , $\ldots$ birds cats dogs ferrets gerbils snakes mice pigs rabbits

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Problem 126

Which pair of numbers has an LCM of $16 ?$ 4 and 8 3 and 16 2 and 4 4 and 16

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Problem 127

Consider the following. $(-2,5),(0,11)$ (a) Plot the points.
Submission Data (b) Find the distance between the points. $\square$

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Problem 128

Ms. Tyson is doing an engineering challenge with her students. Each team will get a kit with bags of marshmallows and boxes of toothpicks. Ms. Tyson has 36 bags of marshmallows and 48 boxes of toothpicks. She wants to use all the bags of marshmallows and all the boxes of toothpicks to make identical kits for the teams.
Which of the following numbers of identical kits can Ms. Tyson make? Choose ALL that apply. 1 2 5 6 10 15

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Problem 129

What is the GCF of 30 and 54? 3 6 9 15

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Problem 130

Hayden Boudreaux
This test: 100 point(s) possible This question: 3 point(s) Submit tes TEST \#2 Question 2 of 28 possible
If $A=\{x \mid x$ is an odd integer $\}$ and $B=\{x \mid x$ is an even integer greater than 0 $\}$ , list the elements of the set $A \cup B$ .
Choose the correct answer. A. $\{\ldots,-3,-1,1,3, \ldots\}$ B. $\{\ldots,-3,-1,1,2,3, \ldots\}$

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Problem 131

Educational researchers want to find the proportion of all Minnesota school principals who are also parents of small children under the age of 8 . They sample 50 principals and find that 37 are parents of small children under the age of 8 .
15. Is this data categorical or quantitative?
16. What is the proportion of principals in the sample with children under the age of 8 ?
17. Which of the following best describes the population in this scenario? A. Children under the age of 8 B. High School Principals C. The 50 principals chosen for the sample D. All Minnesota school principals
18. School administrators plan to give out a survey to all 850 students at Jackson Middle School. Which of the following is a true statement? A. This is an example of a random sample and the results will provide statistics about the sample. B. This is an example of a census and the results will provide parameters about the population. C. This is neither a random sample nor a census.

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Problem 132

Questions 5 to 7 refer to the following information: The following data represent the number of MP3 songs in their phones for the first 25 visitors to a new Apple store (ordered from the largest to the smallest) \begin{tabular}{lll} 40,000 & 20,000 & 10,000 \\ 10,000 & 10,000 & 9,000 \\ 5,000 & 4,100 & 4,000 \\ 4,000 & 4,000 & 4,000 \\ 4,000 & 4,000 & 3,300 \\ 3,200 & 3,000 & 3,000 \\ 2,556 & 2,500 & 2,500 \\ 2,000 & 2,000 & 2,000 \\ 2,000 & & \\ \hline \end{tabular} Question 5
Find the median $\square$ Question 6
Find the mode (or modes) $\square$
Question 7
What is the mean? $\square$

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Problem 133

The current assets section of the statement of financial position should include
Select one: a. patents b. goodwill C. furniture d. inventory

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Problem 134

18. Order least to greatest: $\begin{array}{lll}0.64 & 0.8 & 0.259\end{array}$

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Problem 135

Determine whether the set of ordered pairs given below represents a one-to-one function, where the $x$ -coordinates are the set of inputs and the $y$ -coordinates are the set of outputs. $\{(-6,0),(9,-7),(1,0),(12,7),(17,10),(-8,-16),(18,6),(-17,-5)\}$

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Problem 136

Use the following information to prepare income statement in good form Revenues Income from continuing operations Net Income Income from operations Selling \& administrative expenses Income before income tax 800,000 100,000 90,000 220,000 500,000 200,000

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Problem 137

Find the information gain by splitting the dataset using Age? \begin{tabular}{|c|c|c|c|c|c|} \hline \#\# & Age & Prescription & Astigmatism & Rate & \begin{tabular}{l} Lenses \\ (Class) \end{tabular} \\ \hline 1 & Young & Myope & No & Reduced & None \\ \hline 2 & Young & Myope & Yes & Normal & Hard \\ \hline 3 & Young & Hypermetrope & No & Reduced & None \\ \hline 4 & Young & Hypermetrope & Yes & Reduced & None \\ \hline 5 & Young & Hypermetrope & Yes & Normal & Hard \\ \hline 6 & Young & Myope & No & Reduced & None \\ \hline 7 & Middle & Myope & Yes & Reduced & None \\ \hline 8 & Middle & Myope & Yes & Normal & Hard \\ \hline 9 & Middle & Hypermetrope & No & Normal & Soft \\ \hline 10 & Middle & Hypermetrope & Yes & Reduced & None \\ \hline 11 & Middle & Hypermetrope & Yes $\square$ & Normal & None \\ \hline 12 & Middle & Myope & No $\$ & Reduced & None \\ \hline 13 & Middle & Myope & No & Normal & None \\ \hline 14 & Senior & Myope & Yes & Reduced & None \\ \hline 15 & Senior & Myope & Yes & Normal & Hard \\ \hline 16 & Senior & Hypermetrope & No & Reduced & None \\ \hline 17 & Senior & Hypermetrope & No & Normal & Soft \\ \hline \end{tabular}

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Problem 138

34. What is the greatest common factor (GCF) of 16 and $48 ?$

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Problem 139

1) Which point is coplanar with points $A, B$ and $C$ ? 2) Which point is coplanar with points $A, D$ and $E$ ?

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Problem 140

Show that triangle $A B C$ is congruent to triangle $D E C$

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Problem 141

suomiz quzz
Below are the jersey numbers of 11 players randomly selected from a football team. Find the range, variance, and standard deviation for the givent sample dita that do the resuits tell us? $\begin{array}{llllllllllll} 28 & 13 & 86 & 5 & 89 & 79 & 60 & 11 & 59 & 3 & 49 & \square \end{array}$
Range $=$ $\square$ (Round to one decimal place as needed.)
Sample standard deviation $=$ $\square$ (Round to one decimal place as needed.)
Sample variance $=$ $\square$ (Round to one decimal place as needed.)
What do the results tell us? A. The sample standard deviation is too large in comparison to the range. B. Jersey numbers on a football team do not vary as much as expected. C. Jersey numbers on a football team vary much more than expected. D. Jersey numbers are nominal data that are just replacements for names, so the resulting statistics are meaningless.

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Problem 142

Put these numbers in order from least to greatest.

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Problem 143

Put these numbers in order from least to greatest. $-\frac{61}{6}$ $-2$ $-\sqrt{133}$

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Problem 144

Electronic devices except non programmable calculators are not allowed in the If $U=\{a, b, e, d, e, f, g, h\}$ , find the complements of the following sets: a. $A=\{a, b, c\}$ b. $B=\{d, e, f, g\}$ c. $C=\{a, c, e, g\}$
IfA $=\{1,2,3,4\}, B=\{3,4,5,6\}, C=\{5,6,7,8\}$ and $D=\{7,8,9,10\}$ ; find i. $A \cup B \cup C$ ii. $A \cup B \cup D$ iii. $B \cup C \cup D$
Find the union of each of the following pairs of sets : i $X=\{1,3,5\}$ $\mathrm{Y}=\{1,2,3\}$ ii. $A=[a, e, i, o, u]$ $B=\{a, b, c\}$ iii. $\mathrm{A}=\{\mathrm{x}$ : x is a natural number and multiple of 3 $\}$ $B=\{x: x$ is a natural number less than 6 $\}$ Write the following intervals in set-builder form:

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Problem 145

Identify the pair of numbers that represents the boiling point of water in degrees Celsius and the freezing point of water in degrees Fahrenheit. 100 degrees Celsius and 32 degrees Fahrenheit 212 degrees Celsius and 0 degrees Fahrenheit 100 degrees Celsius and 0 degrees Fahrenheit 32 degrees Celsius and 0 degrees Fahrenheit

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Problem 146

$F$ and $H$ are sets of real numbers defined as follows $\begin{array}{l} F=\{z \mid z>3\} \\ H=\{z \mid z \leq 8\} \end{array}$
Write $F \cap H$ and $F \cup H$ using interval notation.

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Problem 147

Taking a cruise is a costly discretionary expense. In a recent year, the top five cruise lines in the world had this many passengers: \begin{tabular}{|l|l|l|l|l|} \hline $4,133,000$ & $2,369,000$ & $1,295,000$ & 928,000 & 679,000 \\ \hline \end{tabular}
Round your answers to the nearest integer. a. The computations will be easier to work if you view this problem in terms of thousands of passengers. Represent each number in terms of thousands of passengers. Place your answer in the same order as above using a semicolon in between the numbers. 4133 2369 1295 928 679 b. What is the mean number of passengers for these five cruise lines? (Give the full number.) $1,880,800$ c. What is the range? (Give the full number.) $3,454,000$ d. What is the standard deviation? (Give the full number.) Hitde Feedluack

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Problem 148

Classify the glands as endocrine or exocrine glands. sweat glands pineal gland sebaceous glands adrenal gland \begin{tabular}{|l|l|} \hline Exocrine Glands & Endocrine Glands \\ \hline & \\ \hline \end{tabular}

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Problem 149

Select all of the following tables which represent $y$ as a function of $x$ .
\begin{tabular}{|r|r|r|r|} \hline $x$ & 1 & 7 & 7 \\ \hline $y$ & 5 & 6 & 11 \\ \hline \end{tabular}
\begin{tabular}{|l|l|l|l|} \hline $x$ & 1 & 7 & 14 \\ \hline $y$ & 5 & 6 & 11 \\ \hline \end{tabular}
\begin{tabular}{|c|c|c|c|} \hline $x$ & 1 & 7 & 14 \\ \hline $y$ & 5 & 6 & 6 \\ \hline \end{tabular}

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Problem 150

Compare the values and calculate the median of the given data. (1 point) 3 4 1

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Problem 151

List all subsets of the set $\{\mathrm{D}, \mathrm{O}, \mathrm{G}\}$ using proper notation

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Problem 152

8. The fable below gives the amount of time students in a class studied for a test and their test scores. \begin{tabular}{|c|c|} \hline \begin{tabular}{c} Houre \\ Studied \end{tabular} & \begin{tabular}{c} Test \\ Score \end{tabular} \\ \hline 1 & 80 \\ \hline 0 & 74 \\ \hline 0.5 & 75 \\ \hline 2 & 95 \\ \hline 3 & 100 \\ \hline 1.5 & 89 \\ \hline 2.5 & 95 \\ \hline 1 & 83 \\ \hline 0.5 & 80 \\ \hline 2 & 89 \\ \hline \end{tabular} A. Graph the data on the scatter plot and draw a line of best fit for the data. (2 pts) B. State the two points to use to make the equation of the line of best fit. Use $m=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}$ (2 pts) $\qquad$ and $\qquad$ $\mathrm{m}=$ $\qquad$ C. What does the slope represent in the context of this problem? (1 pt) $\qquad$ $\qquad$ D. Write the equation in point-slope form. (2pts) $\qquad$
PSF: $\qquad$

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Problem 153

Intersection and conditional probability
Suppose that a certain college class contains 39 students. Of these, 24 are sophomores, 21 are social science majors, and 12 are neither. A student is selected at random from the class. (a) What is the probability that the student is both a sophomore and a social science major? (b) Given that the student selected is a sophomore, what is the probability that he is also a social science major?
Write your responses as fractions. (If necessary, consult a list of formulas.) (a) $\square$ (b) $\square$ Explanation Check O 2024 MaSraw HIILC An Rights Roserved. Terms of Use 1 Privacy Center I $46^{\circ} \mathrm{F}$ Sunny Search

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Problem 154

om least to greatest.
18. $\left\{\sqrt{64}, 8.8, \frac{26}{3}, 8 \frac{2}{7}\right\}$

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Problem 155

(Proof) Show that if $A \subseteq B$ , then $A \cap B=A$

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Problem 156

Nhich two baseball games have equivalent ratios of walks to the number of runs icored? $\qquad$ \begin{tabular}{|l|c|c|} \hline Games & Waks & Number of Runs Scored \\ \hline Red Sox & 4 & 32 \\ \hline Cubs & 4 & 34 \\ \hline Marlins & 5 & 40 \\ \hline Yankees & 2 & 17 \\ \hline \end{tabular}

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Problem 157

Lesson 3 Practice Problems (1.) Pentagon $A^{\prime} B^{\prime} C^{\prime} D^{\prime} E^{\prime}$ is the image of pentagon $A B C D E$ after a dilation centered at $F$ . What is the scale factor of this dilation?

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Problem 158

Three vertices of a parallelogram are shown in the figure below. Give the coordinates of the fourth vertex.

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Problem 159

$\text{Calculate the Tukey HSD (Honestly Significant Difference) test for the following data:}$
$\text{Means: } 4.08, 1.27, 0.30, 8.34$
$\text{Number of groups: } n = 5$
$\text{Group data:}$
$\text{Online: } 3, 3, 4, 3, 3$
$\text{Hybrid: } 1, 3, 1, 3, 2$
$\text{Face to face: } 2, 2, 2, 1, 3$
$\text{Significance level: commonly used level is } \alpha = 0.05$

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Problem 160

A county is planning to expand its train service. To better understand the current service, the county planner looked at which train stations are along or not along various train lines. The Venn diagram shows this information for two of the lines. (a) How many stations are along the Blue Line? $\square$ stations (b) How many stations are along the Blue Line or the Green Line (or both)? $\square$ stations (c) Which stations are along neither the Blue Line nor the Green Line? Choose all that apply. Bern Cadiz Delft Fes Quilmes Trento York Zama

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Problem 161

The tables show the monthly costs for two different Internet service providers. What will be the difference in the cost of the two plans after 18 months? \begin{tabular}{|c|c|} \hline \multicolumn{2}{|c|}{ Company $A$ } \\ \hline Month, $x$ & Total Cost (\ $),$ y \\ \hline 1 & 75 \\ \hline 2 & 110 \\ \hline 3 & 145 \\ \hline 4 & 180 \\ \hline \end{tabular} \begin{tabular}{|c|c|} \hline \multicolumn{2}{|c|}{ Company B } \\ \hline Month, x$ & Total Cost (\$), \\ \hline 1 & 60 \\ \hline 2 & 110 \\ \hline 3 & 160 \\ \hline 4 & 210 \\ \hline \end{tabular}

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Problem 162

A bag contains five red marbles, three green ones, one lavender one, two yellows, and one orange marble. HINT [See Example 7.] How many sets of four marbles include none of the red ones? $\square$ sets

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Problem 163

Marbles A bag contains two red marbles, six green ones, one lavender one, five yellows, and four orange marbles. How many sets of four marbles include one of each color other than lavender? $\square$ sets

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Problem 164

A bag contains three red marbles, two green ones, one lavender one, three yellows, and four orange marbles. HINT [See Example 7.] How many sets of five marbles include either the lavender one or exactly one yellow one but not both colors? $\square$ sets

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Problem 165

Suppose two dice (one red, one green) are rolled. Consider the following events. $A$ : the red die shows $4 ; B$ : the numbers add to $2 ; C$ : at least one of the numbers is 4 ; and $D$ : the numbers do not add to 8 . Express the given event in symbolic form.
The numbers do not add to 2 . B D $D^{\prime}$ $B^{\prime}$ $B^{\prime} \cup D$
How many elements does it contain? $\square$

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Problem 166

Create a scatter plot with the data. What is the correlation of this scatter plot? (Hint: Do not use the day on the scatter plot.)
Identify the data sets as having a positive, a negative, or no correlation.
8. The number of hours a person has driven and the number of miles driven
9. The number of siblings a student has and the grade they have in math class
10. The age of a car and the value of the car
11. The number of weeks a CD has been out and the total sales
12. The number of years a person went to school and their income
13. The number of songs downloaded on your i-pod and the amount of memory avaitioble
14. The amount of time spent on the computer instant messaging your friends and the number of computers in your house
15. The age of a house and the number of people living in the house

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Problem 167

The table shows the performance of a selection of 100 stocks after one year. (Take $S$ to be the set of all stocks represented in the table. If a stock stayed within $20 \%$ of its original value, it is classified as "unchanged".) \begin{tabular}{|r|c|c|c|c|} \hline & \multicolumn{4}{|c|}{ Companies } \\ \cline { 2 - 5 } & \begin{tabular}{r} Pharmaceutical \\ $\boldsymbol{P}$ \end{tabular} & \begin{tabular}{c} Electronic \\ $\boldsymbol{E}$ \end{tabular} & \begin{tabular}{c} Internet \\ $\boldsymbol{I}$ \end{tabular} & \multirow{2}{*}{ Total } \\ \hline \begin{tabular}{r} Increased \\ $\boldsymbol{V}$ \end{tabular} & 16 & 4 & 7 & 27 \\ \hline \begin{tabular}{r} Unchanged \\ $\boldsymbol{N}$ \end{tabular} & 14 & 13 & 9 & 36 \\ \hline \begin{tabular}{r} Decreased \\ $\boldsymbol{D}$ \end{tabular} & 17 & 3 & 16 & 36 \\ \hline Total & 47 & 20 & 32 & 99 \\ \hline \end{tabular}
Use symbols to describe the event that an Internet stock did not increase. $I \cap V^{\prime}$ $I \cup V$ $I^{\prime} \cap V$ $I \cup V^{\prime}$ $I \cap V$
How many elements are in this event? 23 $\square$

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Problem 168

Use counting arguments from the preceding chapter.
The following eight teams will be participating in Urban University's hockey intramural tournament: the Independent Wildcats, the Phi Chi Bulldogs, the Gate Crashers, the Slide Rule Nerds, the Neural Nets, the Edmontons Eulers, the Cyber Cyborgs, and the City Slickers, Prizes will be awarded for the winner and runner-up. (a) Find the cardinality $n(S)$ of the sample space $S$ of all possible outcomes of the tournament. (An outcome of the tournament consists of a winner and a runner-up.) $\square$ (b) Let $E$ be the event that the City Slickers are runners-up, and let $F$ be the event that the Independent Wildcats are neither the winners nor runners-up. Express the event $E \cup F$ in words. $E \cup F$ is the event that either the City Slickers are not runners-up, and the Independent Wildcats are not the winners or runners-up. $E \cup F$ is the event that either the City Slickers are not runners-up, or the Independent Wildcats are neither the winners nor runners-up. $E \cup F$ is the event that either the City Slickers are runners-up, or the Independent Wildcats are neither the winners nor runners-up. $E \cup F$ is the event that the City Slickers are not runners-up, and the Independent Wildcats are neither the winners nor runners-up. $E \cup F$ is the event that the City Slickers are runners-up, and the Independent Wildcats are neither the winners nor runners-up.
Find cardinality $n(E \cup F)$ . $\square$

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Problem 169

You pick a card and spin the spinner. How many outcomes are possible?
123 $\square$ Submit

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Problem 170

Five ball players think they can throw the same distance with their dominant hand (throwing) and off-hand (catching hand). The data were collected and recorded in the table. Conduct a hypothesis test to determine whether the mean difference in distances between the dominant and off-hand is significant. Test at the $5 \%$ level. \begin{tabular}{|lc|c|c|c|c|} \hline & Player 1 & Player 2 & Player 3 & Player 4 & Player 5 \\ \hline Dominant Hand & 120 & 111 & 135 & 140 & 125 \\ \hline Off-hand & 105 & 109 & 98 & 111 & 99 \\ \hline \end{tabular}
What is the p -value?

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Problem 171

Calculate the mean, variance, and standard deviation of 5 students exam scores, from a Statistics course with a total of 25 students: 76,73,95,66, and 87.
Round to two decimal places as needed
Click this video to learn more about the formula \begin{tabular}{|c|c|c|} \hline x & $x-\bar{x}$ & $(x-\bar{x})^{2}$ \\ \hline \multirow{2}{}{76} & $-3.4$ & 11.56 v \\ \hline & 06 & 06 \\ \hline \multirow{2}{}{73} & -6.4 & 40.96 \\ \hline & 0 & 06 \\ \hline \multirow{2}{}{95} & 15.6 V & $243.36 \quad \checkmark$ \\ \hline & 08 & 0 \\ \hline 66 & \begin{tabular}{l} 13.4 \\ Enter an integer or decimal \end{tabular} & $179.56$ \\ \hline \multirow[b]{2}{}{87} & 7.6 & $57.76 \quad \checkmark$ \\ \hline & 06 & 06 \\ \hline \end{tabular}

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Problem 172

2. Order the angles of $\triangle D E F$ from smallest to largest. $\square$ $\square$ a. $\angle E$ b. $\angle D$ c. $\angle F$

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Problem 173

3) Two unbiased dice are rolled at random. Let $X$ denote the sum of the points observed on the uppermost faces of which first face shows 1 . Describe the values of $X$ . a) $1,2,3,4,5,6$ b) 2,7 c) $7,8,9,10,11,12$ d) $2,3,4,5,6,7$

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Problem 174

Factors of 61:

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Problem 175

4. The online security firm SecurEnvoy and the research firm OnePoll conducted a survey in October 2012 and found that $60 \%$ of Britons admit they don't always understand text message abbreviations they receive. The firms surveyed 1000 British adults. a) Assuming this was a simple random sample, can you be comfortable that $60 \%$ is a good estimate of the percentage of British adults who are sometimes confused by text abbreviations? Explain. b) Assuming this was a simple random sample, can you be comfortable that $60 \%$ is a good estimate of the percentage of American adults who are sometimes confused by text abbreviations? Explain. c) It seems reasonable to suspect that age may be associated with a person's comfort with text abbreviations. How might the sampling technique be improved by taking this association into account? d) A blog that reported a story about this poll had a banner at the bottom of the webpage with a multiple choice question: Do you get confused with abbreviations in text messages? - Yes. Sometimes the abbreviations do the opposite of what they're supposed to do. - No. I've been texting for a long time. It's my second language - IDK (tsminteractive.com/have-you-ever-been-confused-by-text-mes-sage-abbreviations-poll/)
What type of sampling is the blog using? Will the results of their survey be likely to match those of the original survey? Explain.

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Problem 176

$\begin{array}{|c|c|} \hline x \text{- Number of Days} & y \text{- Cost} \\ \hline 6 & 2 \\ \hline 9 & 3 \\ \hline 24 & 8 \\ \hline 3 & 1 \\ \hline \end{array}$
Determine the constant of proportionality between the number of days ( $x$ ) and the cost ( $y$ ) based on the given data.

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Problem 177

In the data set below, what is the variance? $\begin{array}{llllll}7 & 4 & 4 & 6 & 7 & 2\end{array}$
If the answer is a decimal, round it to the nearest tenth. variance $\left(\sigma^{2}\right)$ : $\square$

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Problem 178

In the data set below, what is the standard deviation? $\begin{array}{lllll}6 & 1 & 1 & 7 & 8\end{array}$
If the answer is a decimal, round it to the nearest tenth. standard deviation $(\sigma)$ : $\square$ Submit

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Problem 179

A cookie jar contains three chocolate chip, two peanut butter, one lemon, one almond, and five raisin cookies. a. IN how many ways can you reach into the jar and select at least one cookie? b. in how many ways can you select some cookies if at least one is a chocolate chip cookie? c. in how many ways can you select some cookies if one is the almond cookie, and none are peanut butter cookies?

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Problem 180

Use the Venn diagram to determine whether the statements are equal for all sets $A$ and $B$ . $A^{\prime} \cup B^{\prime}$ and $A \cap B$
Are the statements equal for all sets $A$ and $B$ ? No Yes

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Problem 181

2. $\{(-3,-4),(-1,2),(0,0),(-3,5),(2,4)\}$
Domain $=$ $\qquad$
Range = $\qquad$

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Problem 182

Use the tax table below to calculate the tax of a head-of-household taxpayer with a taxable income of \ $27,811.$ \square \begin{tabular}{|c|c|c|c|c|c|c|} \hline \multicolumn{3}{|l|}{If line 11b (taxable income) is-} & \multicolumn{4}{|c|}{And you are -} \\ \hline At leas & $\begin{array}{l} \text { But } \\ \text { st } \\ \text { less } \\ \text { than } \end{array}$ & & Single \left\lvert\, \begin{array}{l}\text { M } \\ \text { fili } \\ \text { jo } \\ \text { jo }\end{array}\right. & Married filing jointly* Your tax is & \begin{tabular}{l} Married \\ filing \\ sepa- \\ rately \\ is- \end{tabular} & Head of a household \\ \hline \multicolumn{7}{|c|}{27,000} \\ \hline \multicolumn{3}{|r|}{27,000 27, 050} & 3,049 & 2,855 & 3,049 & 2,966 \\ \hline & 27,050 27 & 27.050 & 3,055 & 2,861 & 3,055 & 2,972 \\ \hline & 27,100 27 & 27,150 & 3,061 & 2,867 & 3,061 & 2,978 \\ \hline & 27,150 27 & 27200 & 3,067 & 2,873 & 3,067 & 2,984 \\ \hline & 27,200 2 & 27250 & 3,073 & 2,879 & 3,073 & 2,990 \\ \hline & 27,250 & 27300 & 3,079 & 2,4 & 3,079 & 2,996 \\ \hline & 27,300 & 27350 & 3,085 & 2,89 & 3,085 & 3,002 \\ \hline & 27,350 & \multirow[t]{2}{}{27400} & 3,091 & 2,897 & 3,091 & 3,008 \\ \hline & 27,400 & & 3,097 & 2,903 & 3,097 & 3,014 \\ \hline & 27,450 & 27.450 & 3,103 & 2,909 & 3,103 & 3,020 \\ \hline & 27500 & 27550 & (3,109 & 2,915 & 3,109 & 3,026 \\ \hline & 27550 & 27600 & 0 3,115 & 2,921 & 3,115 & 3,032 \\ \hline & 27600 & \multirow[t]{2}{}{27,650 27700 77750} & (300 3,121 & 1 2,927 & 3,121 & 3,038 3,044 3,050 \\ \hline & 27,650 27,00 & & \begin{array}{ll}10 \& 3,127 \\ 3,133\end{array} & \begin{tabular}{l} 17 \\ \hline \end{tabular} & \begin{tabular}{ll} 3 \& 3,127 \\ \hline \& 3,133 \end{tabular} & 3,044 3,050 \\ \hline & 27,750 & - 27800 & 00 3,139 & 92945 & (3,139 & 3,056 \\ \hline & 27800 & 027850 & 50 \quad 3,145 & 2,951 & 3 3,145 & 3,062 3,068 \\ \hline & 27850 & \multirow[t]{2}{*}{$\begin{array}{ccc}500 \& 27900 \\ 27950\end{array}$} & 00 \quad 3,151 & 2.957 & 37 3,151 & \begin{tabular}{rr} 3,068 \\ \hline, 004 \end{tabular} \\ \hline & 27,900 & & 500 & (157 2,963 & 63 \quad 3,157 & \begin{tabular}{rr} 3,074 \\ \hline, 080 \end{tabular} \\ \hline & 27950 & \begin{array}{ll}10 \& 27,950 \\ 50 \& 28.000\end{array} & 000 3,163 & (63 2.969 & (4 \quad 3,163$ & 3 3,080 \\ \hline \end{tabular}

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Problem 183

Indicate if the statement is true or false. If it is false, find a counterexample to prove the claim is false. (Recall that a set of number is closed under an operation if it will always produce another number in the same set.)
14. The set of irrational numbers is closed under addition.
15. The set of integers is closed under addition and multiplication.
16. The set of irrational numbers is closed under multiplication.

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Problem 184

2-6: MathXL for School: Practice \& Problem Solving Dec 31 - 11:59 pm 2.6.PS-14 Question Help
Freddy drew a plan for a rectangular piece of material that he will use for a blanket. Three of the vertices are $(-3.5,-3.3)$ , $(-3.5,1.9)$ , and $(3.6,1.9)$ . What are the coordinates of the fourth vertex?

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Problem 185

A study ${ }^{1}$ indicates that babies may choose not to learn from someone they don't trust. A group of 60 babies, aged 13 to 16 months, were randomly divided into two groups. Each baby watched an adult express great excitement while looking into a box. The babies were then shown the box and it either had a toy in it (the adult could be trusted) or it was empty (the adult was not reliable.) The same adult then turned on a push-on light with her forehead, and the number of babies who imitated the adult's behavior by doing the same thing was counted. The results are in Table 1. Test at a $5 \%$ level to see if there is evidence that babies are more likely to imitate those they consider reliable. \begin{tabular}{lcc} \hline & Imitated & Did not imitate \\ \hline Reliable & 18 & 12 \\ Unreliable & 10 & 20 \\ \hline \end{tabular}
Table 1 Babies imitate those they trust ${ }^{1}$ Wood, J., "Babies Learn Early Who They Can Trust," Psych-Central, http://psychcentral.com/news/2011/12/07/babies-learn-early-who-they-can-trust/32278.html. (a) State the null and alternative hypotheses.

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Problem 186

Complete parts (a) through (c). \begin{tabular}{r|cccr} Month & March 2009 & March 2010 & March 2011 & March 2012 \\ \hline Monthly active users (millions) & 198 & 438 & 688 & 909 \\ Absolute change over previous year & - & & & \\ Percent change over previous year & - & & \end{tabular} a. Fill in the row of the table showing the absolute change in the number of active monthly users. \begin{tabular}{r|cccc} Month & March 2009 & March 2010 & March 2011 & March 2012 \\ \hline Monthly active users (millions) & 198 & 438 & 688 & 909 \\ Absolute change over previous & - & $\square$ & $\square$ & $\square$ \end{tabular} (Type integers or decimals rounded to the nearest tenth as needed.) b. Fill in the row of the table showing the percent change in the number of active monthly users \begin{tabular}{r|cccc} Month & March 2009 & March 2010 & March 2011 & March 2012 \\ \hline Monthly active users (millions) & 198 & 438 & 688 & 909 \\ Percent change over previous & - & $\square \%$ & $\sqcap \% \%$ & $\Pi \% \%$ \end{tabular}

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Problem 187

Arrange the different types of electromagnetic radiation by wavelength. Only include the items that are forms of electromagnetic radiation. longest wavelength $\square$ shortest wavelength
Answer Bank an orange photon a high pitch sound wave low frequency microwave radiation high frequency microwave radiation ultraviolet radiation radio waves

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Problem 188

5. The following table shows music preferences found by a survey of the faculty at a local university. Express your answers in fraction form. \begin{tabular}{|l|c|c|c|c|} \hline & Country Music (C) & Rock Music (R) & Oldies (O) & Total \\ \hline Northern U.S. (N) & 11 & 88 & 49 & 148 \\ \hline Southern U.S. (S) & 70 & 50 & 44 & 164 \\ \hline Total & 81 & 138 & 93 & 312 \\ \hline \end{tabular} a. Find the probability that a randomly selected person from this group likes country music. b. What is the probability that a randomly selected person from this group likes rock music and is from the North? c. Find the probability that a randomly selected person from this group likes oldies given that they are from the South. d. Find $P(R)$ in decimal form. Round to two decimal places. e. Find $P(S)$ in decimal form. Round to two decimal places. f. Find $P(R \mid S)$ and explain if events $R$ and $S$ are independent or associated events. g. Zoe and Lisa are having a disagreement about conditional probability. Zoe thinks that $P(A \mid B)=P(B \mid A)$ for any two events $A$ and $B$ . Lisa says that $P(A \mid B)$ and $P(B \mid A)$ do not have to be equal. Pick two events from the table in problem 5 and determine who is correct.

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Problem 189

You wish to test the following claim (Ha) at a significance level of $a=0.001$ . For the context of this problem, $\mu \mathrm{d}=\mu 2-\mu 1$ where the first data set represents a pre-test and the second data set represents a post-test. Ho: $\boldsymbol{\mu d}=0$ Ha: $\boldsymbol{d}$ d>0 You believe the population of difference scores is normally distributed, but you do not know the standard deviation. You obtain the following sample of data: \begin{tabular}{|l|l|} \hline pre-test & post-test \\ \hline 56.1 & 59.3 \\ \hline 55.4 & 64.3 \\ \hline 43.3 & 44.8 \\ \hline 49.4 & 62.6 \\ \hline 51 & 49.6 \\ \hline 49.1 & 53.7 \\ \hline 49.9 & 47.7 \\ \hline 52.6 & 38 \\ \hline 52.1 & 53.6 \\ \hline 50.3 & 42.5 \\ \hline 47.4 & 37.1 \\ \hline 52.6 & 44.8 \\ \hline 50.4 & 67.9 \\ \hline 50.6 & 25.8 \\ \hline 46.6 & 56.2 \\ \hline 48.7 & 51.9 \\ \hline 45.6 & 33.8 \\ \hline 50.6 & 54.2 \\ \hline 46.1 & 68.2 \\ \hline 47.1 & 42.8 \\ \hline \end{tabular}
What is the test statistic for this sample?

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Problem 190

A drawer contains 12 biue socks, 8 red socks, and 9 green socks. If socks are randomly taken from the drawer without replacement, how many socks must be taken from the drawer to ensure that 4 green socks are drawn?

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Problem 191

Español
Tammy rolled a number cube 200 times and got the following results. \begin{tabular}{|l|c|c|c|c|c|c|} \hline Outcome Rolled & 1 & 2 & 3 & 4 & 5 & 6 \\ \hline Number of Rolls & 30 & 50 & 39 & 30 & 29 & 22 \\ \hline \end{tabular}
Fill in the table below. Round your answers to the nearest thousandth. (a) Assuming that the cube is fair, compute the theoretical probability of rolling an even number. $\square$ (b) From Tammy's results, compute the experimental probability of rolling an even number. $\square$ (c) Assuming that the cube is fair, choose the statement below that is true: The largent number of rolls, the greater the likelihood that the experimental probability will be close to the theoretical probability. The smaller the number of rolls, the greater the likelihood that the experimental probability will be close to the theoretical probability. The experimental probability will never be very close to the theoretical probability, no matter the number of rolls. Explanation Check

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Problem 192

Espaniol
The spinner below shows 10 equally sized slices. Karen spun the dial 1000 times and got the following r \begin{tabular}{|c|c|c|c|} \hline Outcome & White & Grey & Black \\ \hline Number of Spins & 498 & 326 & 176 \\ \hline \end{tabular}
Fill in the table below. Round your answers to the nearest thousandth. (a) From Karen's results, compute the experimental probability of landing on grey or white. $\square$ (b) Assuming that the spinner is fair, compute the theoretical probability of landing on grey or white. $\square$ (c) Assuming that the spinner is fair, choose the statement below that is true: With a large number of spins, there must be no difference between the experimental and theoretical probabilities. With a large number of spins, there might be a difference between the experimental and theoretical probabilities, but the difference should be small.
With a large number of spins, there must be a large difference between the experimental and theoretical probablilities.

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Problem 193

Español
Keiko rolled a number cube 50 times and got the following results. \begin{tabular}{|c|c|c|c|c|c|c|} \hline Outcome Rolled & 1 & 2 & 3 & 4 & 5 & 6 \\ \hline Number of Rolls & 10 & 5 & 10 & 10 & 5 & 10 \\ \hline \end{tabular}
Fill in the table below. Round your answers to the nearest thousandth. (a) Assuming that the cube is fair, compute the theoreticalprobability of rolling a 5 or 6 . (b) From Keiko's results, compute the experimental probability of rolling a 5 or 6 . $\square$ (c) Assuming that the cube is fair, choose the statement below that is true: The experimental and theoretical probabilities must always be equal. As the number of rolls increases, we expect the experimental and theoretical probabilities to become closer, though they might not be equal. As the number of rolls increases, we expect the experimental and theoretical probabilities to become farther apart.

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Problem 194

Given the information below, estimate the total distance travelled during these 6 seconds using a left endpoint approximation. \begin{tabular}{|r|r|} \hline time (sec) & velocity (ft/sec) \\ \hline 0 & 21 \\ \hline 1 & 38 \\ \hline 2 & 39 \\ \hline 3 & 24 \\ \hline 4 & 6 \\ \hline 5 & 2 \\ \hline 6 & 15 \\ \hline \end{tabular} $\square$ feet

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Problem 195

4. Interventionsstudie
Ein neues Medikament gegen Akne wird an einer Gruppe von 200 Personen ausprobiert. Eine Vergleichsgruppe von 80 Personen erhält ein Placebo. Bei 50 Personen der Interventionsgruppe wirkt das Medikament. In der Placebogruppe heilt die Krankheit bei 10 Personen ab. \begin{tabular}{|c|c|c|} \hline \multicolumn{3}{|c|}{H $\overline{\mathrm{H}}$ } \\ \hline M & 50 & 200 \\ \hline P & 10 & 80 \\ \hline & & \\ \hline \end{tabular} (M: Medikament, P: Placebo, H: Heilung, $\bar{H}$ : keine Heilung) a) Vervollständigen Sie die Vierfeldertafel. b) Vergleichen Sie die Erfolgswahrscheinlichkeit der Interventionsgruppe mit der Erfolgswahrscheinlichkeit der Placebogruppe. c) Bei Jakob heilt die Krankheit ab. Mit welcher Wahrscheinlichkeit hat er dennoch nur das Scheinmedikament erhalten?
5. Französisch
In einer Reisegruppe mit 30 Personen sprechen 16 Französisch. 60\% der Teilnehmer sind weiblich. 6 Mädchen sprechen Französisch. a) Stellen Sie eine Vierfeldertafel auf. b) Wie viele Jungen sprechen Französisch? c) Eines der Mädchen wird zur Sprecherin der Gruppe gewählt. Mit welcher Wahrscheinlichkeit spricht sie Französisch?
6. Safari An einer Safari nehmen 200 Personen teil. 60\% der Teilnehmer sind Touristen, der Rest besteht aus Einheimischen. 10 Einheimische haben keine Wasservorräte, 30 Touristen haben einen Wasservorrat. a) Stellen Sie eine Vierfeldertafel auf. b) Einer der Touristen verirt sich in der Wuste. Mit welcher Wahrscheinlichkeit hat er keinen Wasservorrat und muss verdursten? c) Eine Person bekommt kurz nach dem Aufbruch Angst. In einem Dorf kauft sie sich doch noch Wasser. Mit welcher Wahrscheinlichkeit handelt es sich um einen Einheimischen?
7. Großfamilie
Eine Großfamilie besteht aus Erwachsenen und Kindern. 200 Erwachsene und 100 Kindel spielen ein Instrument. Insgesamt 80 Kinder spielen kein Instrument. Die Wahrscheinlichkeit, dass ein zufällig ausgewählter Erwachsener ein Instrument spielt, beträgt 20\%. a) Aus wie vielen Personen besteht die Familie? Wie viele Kinder und wie viele Erwachsene gehören zur Familie? b) Auf dem Fest spielt ein zufâlig ausgewâhltes Familienmitglied die Eröffnungsmelodie. Mit welcher Wahrscheinlichkeit handelt es sich um ein Kind?
8. Laboruntersuchung
In einem Hygienelabor werden 100 Wischproben auf die Krankheitserreger $A$ und $B$ untersucht. a) Vervollständigen Sie die Vierfeldertafel, b) Beurteilen Sie anhand der Vierfeldertafel, ob die Erreger A und B unabhängig voneinander auftreten.

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Problem 196

Agagida bir K dogal sayizinin tum dogal nayı bkien" loriverimigitir.
Buna gdre A, B, C toplam kaçur? A) 17 в) 15 C) 12 D) 10

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Problem 197

4. Find the persons coefficient of correlation between price and demand from the following data. \begin{tabular}{|l|l|l|l|l|l|l|l|} \hline Price & 11 & 13 & 15 & 17 & 18 & 19 & 20 \\ \hline Demand & 30 & 29 & 24 & 24 & 21 & 18 & 15 \\ \hline \end{tabular}

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Problem 198

4. Find the persons coefficient of correlation between price and demand from the following data. \begin{tabular}{|l|l|l|l|l|l|l|l|} \hline Price & 11 & 13 & 15 & 17 & 18 & 19 & 20 \\ \hline Demand & 30 & 29 & 24 & 24 & 21 & 18 & 15 \\ \hline \end{tabular}

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Problem 199

Câu 1. Câu nào sau đây là mệnh đề toán học? A. Hôm nay trời nóng quá! C. Bài tập này khó quá! B. Ban có thích học toán không?
Câu 2. Mệnh đề phủ định của mệnh đề " $\exists x \in \mathbb{R}, x^{2}-5=0$ " là A. " $\forall x \in \mathbb{R}, x^{2}-5=0 "$ . (c) $" \forall x \in \mathbb{R}, x^{2}-5 \neq 0 "$ . B. " $\exists x \in \mathbb{R}, x^{2}-5 \neq 0$ ". D. $" \forall x \in \mathbb{R}, x^{2}-5>0 "$ .
Câu 3. Tập hợp $A=\{1 ; 2\}$ có bao nhiêu tập con? A. 2 . A. 2. 3 . C. 1 . Câu 4. Tập hợp $M=\{x \in \mathbb{R} \mid 1 \leq x<6\}$ bằng tập nào dưới đây? (D.) 4 . (A. $\{1 ; 2 ; 3 ; 4 ; 5\}$ . B. $[1 ; 6)$ . C. $\{1 ; 2 ; 3 ; 4 ; 5 ; 6\}$ . D. $[1 ; 6]$ .
Câu 5. Cho hai tập hợp $A=\{2 ; 4 ; 6 ; 9\}, B=\{1 ; 2 ; 3 ; 4\}$ . Tập $A \backslash B$ bằng tập nào sau đây? A. $\{2 ; 4\}$ . B. $\{1 ; 2 ; 3 ; 4 ; 6 ; 9\}$ . C. $\{1 ; 3\}$ . (D.) $\{6 ; 9\}$ .
Câu 6. Cho hai tập hợp $M=(-\infty ; 5]$ và $N=(-3 ;+\infty)$ . Khẳng định nào sau đây đúng? A. $M \cap N=(-3 ; 5)$ . (B) $M \cap N=(-3 ; 5)$ . C. $M \cap N=\varnothing$ . D. $M \cap N=\mathbb{R}$ .
Cậu 7. Phần mặt phẳng không bi gach ở hînh vê bên (kể cả biền) biều diễn miền nghiệm của bất phương trình nào sau đây? A. $3 x+2 y-6 \leq 0$ . B. $3 x+2 y-6 \geq 0$ . C. $2 x+3 y-6 \leq 0$ . D. $2 x+3 y-6 \geq 0$ .
Câu 8. Trên mặt phẳng tọa độ $O x y$ , điểm nào dưới đây thuộc miền nghiệm của hệ bất phưong trình $\left\{\begin{array}{c} 2 x+5 y \leq 3 \\ x-y \geq 5 \end{array} ?\right.$ A. $A(-1 ; 1) \cdot 5$ B. $B(1 ; 1) \cdot X$ C. $(0 ;-5)$ . D. $D(2 ; 0)$ .
Câu 9. Cho góc $\alpha$ thỏa mãn $0^{\circ}<\alpha<180^{\circ}, \alpha \neq 90^{\circ}$ . Khẳng định nào sau đây đúng? A. $\sin \left(180^{\circ}-\alpha\right)=-\sin \alpha$ . (B. $\cos \left(180^{\circ}-\alpha\right)=\cos \alpha$ . S. C. $\tan \left(180^{\circ}-\alpha\right)=\tan \alpha$ . D. $\cot \left(180^{\circ}-\alpha\right)=-\cot \alpha$ .
Câu 10. Cho tam giác $A B C$ có $B C=a, A C=b, A B=c$ và $S$ là diện tích tam giác. Khẳng định nào dưới đây sai? A. $a^{2}=b^{2}+c^{2}+2 b c \cdot \cos A$ . B. $c^{2}=a^{2}+b^{2}-2 a b \cdot \cos C$ . C. $\frac{a}{\sin A}=\frac{b}{\sin B}=\frac{c}{\sin C}$ . A) D. $S=\frac{1}{2} c \cdot a \cdot \sin B$ .
Câu 11. Cho hình bình hành $A B C D$ tâm $O$ . Khẳng định nào sau đây đúng? A. $\overrightarrow{B C}+\overrightarrow{A B}=\overrightarrow{C A}$ . B. $\overrightarrow{O C}+\overrightarrow{A O}=\overrightarrow{C A}$ . C. $\overrightarrow{B A}+\overrightarrow{D A}=\overrightarrow{C A} S$ B. $\overrightarrow{D C}+\overrightarrow{B C}=\overrightarrow{C A}$ .

See Solution

Problem 200

The table shows the maximum and minimum account balances for three college students for one month. Giovanni claimed that he had the least variation (from maximum to minimum) in his account balance that month. Is he correct? \begin{tabular}{l|c|c|} \hline Student & \begin{tabular}{c} Maximum \\ Balance (\) \end{tabular} & \begin{tabular}{c} Minimum \\ Balance \\ \mathbf{( \ )} \end{tabular} \\ \hline ordan & 145 & -25 \\ \hline Giovanni & 168 & 15 \\ \hline Elisa & 152 & -10 \\ \hline \end{tabular}
Find the amount of variation for each student by subtracting the minimum balance from the maximum balance. Then drag the names to put the students in order from the least variation (top) to the greatest variation (bottom) in their balances.

See Solution

1 2 3 4 5 ...30

Set

Problem 101

Problem 102

Problem 103

In the following Venn diagram, UUU is the set of students in a class, AAA is the set of students who have brown hair, and BBB is the set of students who have blue ey Determine how many students have brown hair or blue eyes.Answer How to enter your answer (opens in new window) □\square□

Problem 104

Problem 105

Problem 106

Draw a line to connect the following terms to their definitions. 1 atom 2 proton 3 neutron A a positively charged atomic particleB an uncharged atomic particle C the smallest particle of an element that has the chemical properties of that element

Problem 107

If A={1,2,3,4,5,6,7,8}A=\{1,2,3,4,5,6,7,8\}A={1,2,3,4,5,6,7,8}, then: (1,3,4)∘(5,1,2)(1,3,4) \circ(5,1,2)(1,3,4)∘(5,1,2) equals: (1,2,5,3,4)(1,2,5,3,4)(1,2,5,3,4)Select one: True False

Problem 108

2∈A∪B2 \in A \cup B2∈A∪B implies that if 2∉A2 \notin A2∈/A then 2∈B2 \in B2∈B.Select one: True False

Problem 109

Problem 110

Problem 111

The following list gives the number of pets for each of 8 students. 4,3,1,2,4,1,1,04,3,1,2,4,1,1,04,3,1,2,4,1,1,0Send data to calculatorFind the modes of this data set. If there is more than one mode, write them separated by commas. If there is no mode, click on "No mode."

Problem 112

Drag the numbers below to put them in order from least to greatest: 3.7023.7853.633.6213.63.73\begin{array}{llllll} 3.702 & 3.785 & 3.63 & 3.621 & 3.6 & 3.73 \end{array}3.702​3.785​3.63​3.621​3.6​3.73​

Problem 113

Problem 114

Problem 115

Problem 116

Problem 117

Problem 118

Problem 119

Problem 120

ListenFind the perimeter and area of the polygon with the given vertice W(5,−1),X(5,6),Y(2,−1),Z(2,6)W(5,-1), X(5,6), Y(2,-1), Z(2,6)W(5,−1),X(5,6),Y(2,−1),Z(2,6)The perimeter is □\square□ units. The area is □\square□ square units.

Problem 121

Find the perimeter and area of the polygon with the given vertices. Round your answers to the nearest tenth, necessary. E(6,−2),F(6,5),G(−1,5)E(6,-2), F(6,5), G(-1,5)E(6,−2),F(6,5),G(−1,5)The perimeter is about □\square□ units. The area is about □\square□ square units.

Problem 122

Eheck the boxes in the accompanying figures to indicate which regions should be shaded to represent each set. (Select all that apply.) (a) A∪BA \cup BA∪B

Problem 123

Construct a boxplot for the data set below. \begin{tabular}{rrrrr} \hline 32 & 29 & 19 & 5 & 8 \\ 19 & 35 & 7 & 13 & 17 \\ 17 & 11 & 17 & 17 & 5 \\ 8 & 14 & 14 & 14 & 10 \\ \hline \end{tabular}

Problem 124

Which pair of numbers has an LCM of 60? 2 and 12 5 and 12 6 and 12 3 and 12

Problem 125

Problem 126

Which pair of numbers has an LCM of 16?16 ?16? 4 and 8 3 and 16 2 and 4 4 and 16

Problem 127

Consider the following. (−2,5),(0,11)(-2,5),(0,11)(−2,5),(0,11) (a) Plot the points.Submission Data (b) Find the distance between the points. □\square□

Problem 128

Problem 129

What is the GCF of 30 and 54? 3 6 9 15

Problem 130

Problem 131

Problem 132

Problem 133

The current assets section of the statement of financial position should includeSelect one: a. patents b. goodwill C. furniture d. inventory

Problem 134

18. Order least to greatest: 0.640.80.259\begin{array}{lll}0.64 & 0.8 & 0.259\end{array}0.64​0.8​0.259​

Problem 135

Problem 136

Use the following information to prepare income statement in good form Revenues Income from continuing operations Net Income Income from operations Selling \& administrative expenses Income before income tax 800,000 100,000 90,000 220,000 500,000 200,000

Problem 137

Problem 138

34. What is the greatest common factor (GCF) of 16 and 48?48 ?48?

Problem 139

1) Which point is coplanar with points A,BA, BA,B and CCC ? 2) Which point is coplanar with points A,DA, DA,D and EEE ?

Problem 140

Show that triangle ABCA B CABC is congruent to triangle DECD E CDEC

Problem 141

Problem 142

Put these numbers in order from least to greatest.

Problem 143

Put these numbers in order from least to greatest. −616-\frac{61}{6}−661​ −2-2−2 −133-\sqrt{133}−133​

Problem 144

Problem 145

Problem 146

FFF and HHH are sets of real numbers defined as follows F={z∣z>3}H={z∣z≤8}\begin{array}{l} F=\{z \mid z>3\} \\ H=\{z \mid z \leq 8\} \end{array}F={z∣z>3}H={z∣z≤8}​Write F∩HF \cap HF∩H and F∪HF \cup HF∪H using interval notation.

Problem 147

Problem 148

Classify the glands as endocrine or exocrine glands. sweat glands pineal gland sebaceous glands adrenal gland \begin{tabular}{|l|l|} \hline Exocrine Glands & Endocrine Glands \\ \hline & \\ \hline \end{tabular}

Problem 149

Problem 150

Compare the values and calculate the median of the given data. (1 point) 3 4 1

Problem 151

List all subsets of the set {D,O,G}\{\mathrm{D}, \mathrm{O}, \mathrm{G}\}{D,O,G} using proper notation

Problem 152

Problem 153

In the following Venn diagram, $U$ is the set of students in a class, $A$ is the set of students who have brown hair, and $B$ is the set of students who have blue ey Determine how many students have brown hair or blue eyes.
Answer How to enter your answer (opens in new window) $\square$

Draw a line to connect the following terms to their definitions. 1 atom 2 proton 3 neutron A a positively charged atomic particle
B an uncharged atomic particle C the smallest particle of an element that has the chemical properties of that element

If $A=\{1,2,3,4,5,6,7,8\}$ , then: $(1,3,4) \circ(5,1,2)$ equals: $(1,2,5,3,4)$
Select one: True False

$2 \in A \cup B$ implies that if $2 \notin A$ then $2 \in B$ .
Select one: True False

The following list gives the number of pets for each of 8 students. $4,3,1,2,4,1,1,0$
Send data to calculator
Find the modes of this data set. If there is more than one mode, write them separated by commas. If there is no mode, click on "No mode."

Drag the numbers below to put them in order from least to greatest: $\begin{array}{llllll} 3.702 & 3.785 & 3.63 & 3.621 & 3.6 & 3.73 \end{array}$

Listen
Find the perimeter and area of the polygon with the given vertice $W(5,-1), X(5,6), Y(2,-1), Z(2,6)$
The perimeter is $\square$ units. The area is $\square$ square units.

Find the perimeter and area of the polygon with the given vertices. Round your answers to the nearest tenth, necessary. $E(6,-2), F(6,5), G(-1,5)$
The perimeter is about $\square$ units. The area is about $\square$ square units.

Eheck the boxes in the accompanying figures to indicate which regions should be shaded to represent each set. (Select all that apply.) (a) $A \cup B$

Which pair of numbers has an LCM of $16 ?$ 4 and 8 3 and 16 2 and 4 4 and 16

Consider the following. $(-2,5),(0,11)$ (a) Plot the points.
Submission Data (b) Find the distance between the points. $\square$

The current assets section of the statement of financial position should include
Select one: a. patents b. goodwill C. furniture d. inventory

18. Order least to greatest: $\begin{array}{lll}0.64 & 0.8 & 0.259\end{array}$

34. What is the greatest common factor (GCF) of 16 and $48 ?$

1) Which point is coplanar with points $A, B$ and $C$ ? 2) Which point is coplanar with points $A, D$ and $E$ ?

Show that triangle $A B C$ is congruent to triangle $D E C$

Put these numbers in order from least to greatest. $-\frac{61}{6}$ $-2$ $-\sqrt{133}$

$F$ and $H$ are sets of real numbers defined as follows $\begin{array}{l} F=\{z \mid z>3\} \\ H=\{z \mid z \leq 8\} \end{array}$
Write $F \cap H$ and $F \cup H$ using interval notation.

List all subsets of the set $\{\mathrm{D}, \mathrm{O}, \mathrm{G}\}$ using proper notation

om least to greatest.
18. $\left\{\sqrt{64}, 8.8, \frac{26}{3}, 8 \frac{2}{7}\right\}$

(Proof) Show that if $A \subseteq B$ , then $A \cap B=A$

Nhich two baseball games have equivalent ratios of walks to the number of runs icored? $\qquad$ \begin{tabular}{|l|c|c|} \hline Games & Waks & Number of Runs Scored \\ \hline Red Sox & 4 & 32 \\ \hline Cubs & 4 & 34 \\ \hline Marlins & 5 & 40 \\ \hline Yankees & 2 & 17 \\ \hline \end{tabular}

Lesson 3 Practice Problems (1.) Pentagon $A^{\prime} B^{\prime} C^{\prime} D^{\prime} E^{\prime}$ is the image of pentagon $A B C D E$ after a dilation centered at $F$ . What is the scale factor of this dilation?

A bag contains five red marbles, three green ones, one lavender one, two yellows, and one orange marble. HINT [See Example 7.] How many sets of four marbles include none of the red ones? $\square$ sets

Marbles A bag contains two red marbles, six green ones, one lavender one, five yellows, and four orange marbles. How many sets of four marbles include one of each color other than lavender? $\square$ sets

A bag contains three red marbles, two green ones, one lavender one, three yellows, and four orange marbles. HINT [See Example 7.] How many sets of five marbles include either the lavender one or exactly one yellow one but not both colors? $\square$ sets

You pick a card and spin the spinner. How many outcomes are possible?
123 $\square$ Submit

2. Order the angles of $\triangle D E F$ from smallest to largest. $\square$ $\square$ a. $\angle E$ b. $\angle D$ c. $\angle F$

3) Two unbiased dice are rolled at random. Let $X$ denote the sum of the points observed on the uppermost faces of which first face shows 1 . Describe the values of $X$ . a) $1,2,3,4,5,6$ b) 2,7 c) $7,8,9,10,11,12$ d) $2,3,4,5,6,7$