Data

Problem 2901

Use the given data to complete parts (a) and (b) below.
x | y ---|--- 2.3 | 4 3.9 | 1.5 2.8 | 3.6 4.7 | 4.9
Compute the linear correlation coefficient with the additional data point. The linear correlation coefficient for the five pieces of data is $\boxed{}$ . (Round to three decimal places as needed.)
Comment on the effect the additional data point has on the linear correlation coefficient.
A. The additional data point does not affect the linear correlation coefficient. B. The additional data point strengthens the appearance of a linear association between the data points. C. The additional data point weakens the appearance of a linear association between the data points.
Explain why correlations should always be reported with scatter diagrams.
A. The scatter diagram can be used to distinguish between association and causation. B. The scatter diagram is needed to see if the correlation coefficient is being affected by the presence of outliers.

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Problem 2902

$n = 2317$ $x = 411$ A survey of 2317 adults in a certain large country aged 18 and older conducted by a reputable polling organization found that 411 have donated blood in the past two years. Complete parts (a) through (c) below.
(a) Obtain a point estimate for the population proportion of adults in the country aged 18 and older who have donated blood in the past two years. $\hat{p} =$ (Round to three decimal places as needed.)
(b) Verify that the requirements for constructing a confidence interval about $p$ are satisfied. The sample a simple random sample, the value of is , which is 10, and the less than or equal to 5% of the . (Round to three decimal places as needed.)
(c) Construct and interpret a 90% confidence interval for the population proportion of adults in the country who have donated blood in the past two years. Select the correct choice below and fill in any answer boxes within your choice. (Type integers or decimals rounded to three decimal places as needed. Use ascending order.) A. We are % confident the proportion of adults in the country aged 18 and older who have donated blood in the past two years is between and . B. There is a % chance the proportion of adults in the country aged 18 and older who have donated blood in the past two years is between and .

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Problem 2903

$x$ $h(x)$ 0 1.50 2 2.50 4 4.15
The table shows the exponential relationship between the number of years, $x$ , since Isela started training in pole vault, and the estimated height $h(x)$ , in meters, of her best pole vault for that year. Which of the following functions best represents this relationship, where $x \le 4$ ?
A. $h(x) = 1.29(0.50)^x$ B. $h(x) = 1.29(1.50)^x$ C. $h(x) = 1.50(0.29)^x$ D. $h(x) = 1.50(1.29)^x$

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Problem 2904

i) "When marginal product is rising, marginal cost is falling. And when marginal product is diminishing, marginal cost is rising." Illustrate and explain graphically. Land Labor Total product Marginal Product Average Product 20 0 0 - - 20 1 15 - - 20 2 34 - - 20 3 - 17 - 20 4 - 14 - 20 5 74 - - 20 6 - 6 - 20 7 83 - - 20 8 82 - -

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Problem 2905

A sample of size $n = 66$ is drawn from a normal population whose standard deviation is $\sigma = 6.2$ . The sample mean is $\overline{x} = 37.77$ .
Part: 0 / 2
Part 1 of 2
(a) Construct a 99% confidence interval for $\mu$ . Round the answer to at least two decimal places.
A 99% confidence interval for the mean is $\boxed{\phantom{00}} < \mu < \boxed{\phantom{00}}$ .

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Problem 2906

Sleeping outlier: A simple random sample of eight college freshmen were asked how many hours of sleep they typically got per night. The results were 8.5 24 8.5 8 7.5 9 6.5 6 Send data to Excel Notice that one joker said that he sleeps 24 a day. Part: 0 / 3 Part 1 of 3 (a) The data contain an outlier that is clearly a mistake. Eliminate the outlier, then construct a $99\%$ confidence interval for the mean amount of sleep from the remaining values. Round the answers to at least two decimal places. A $99\%$ confidence interval for the mean amount of sleep from the remaining values is $\boxed{}$ < $\mu$ < $\boxed{}$ .

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Problem 2907

$A(8, 5, -6)$ , $B(4, 7, 9)$ , $C(2, 1, 6)$ ج) إذا كانت : فبرهن باستخدام المتجهات أن النقط $A$ , $B$ , $C$ تمثل رؤوس مثلث الزاوية

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Problem 2908

السؤال الرابع: الجدول التكراري التالي يمثل الأجور بمئات الدولارات لموظفي شركة بيونير للصناعات الغذائية (أ) المطلوب: مع التوضيح تمثل البيانات باستخدام (المدرج التكراري، المنحني التكراري). فئة الأجر التكرار $x$ $25$ $-20$ $15$ $-30$ $20$ $-40$ $15$ $-50$ $5$ $70$ - $60$ $80$ المجموع المدرج التكراري $(0,0)$ المنحني التكراري $(0,0)$

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Problem 2909

A line intersects the points $\begin{array}{c} (5,3) \text { and }(8,-6) \\ m=-3 \end{array}$
Write the equation of this line in point-slope form using the point $(5,3)$ . $y-[?]=\square(x-\square)$ Enter

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Problem 2910

Calculate the Mean Absolute Deviation (MAD) for the numbers: 12, 15, 13, 23, 19, 19, 10.

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Problem 2911

Order the fractions of students moving up to Level 2: $\frac{2}{3}, \frac{7}{12}, \frac{17}{24}, \frac{3}{4}$ .

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Problem 2912

Estimate the area under $f(x)$ from $x=0$ to $x=8$ using 4 rectangles and left endpoints. Calculate $L_{4}$ .

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Problem 2913

Calculate the mean absolute deviation of the race car speeds: 95, 94, 99, 101, 101, 92.

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Problem 2914

Calculate the mean absolute deviation of these basketball player heights: 65, 62, 58, 63.

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Problem 2915

Which substance has the greatest temperature increase when the same energy is added? Explain using specific heat values.

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Problem 2916

Given the cereal calories: 100, 125, 125, 175, 175, 210. Which brand won't change the interquartile range? A. 90 B. 100 C. 145 D. 225

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Problem 2917

Find the next number in the sequence: $7, 18, 29, \ldots$

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Problem 2918

Find the equation for math grade $y$ based on days absent $x$ : A. $y=\frac{2}{5} x+90$ , B. $y=-\frac{2}{5} x+90$ , C. $y=\frac{5}{2} x+90$ , D. $y=-\frac{5}{2} x+90$ .

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Problem 2919

Complete the table using $A = P (1 + \frac{r}{n})^{nt}$ for total amount and interest earned. Initial: \$25,000, 20 years.

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Problem 2920

Which truck should Jennifer buy based on towing capacity and vehicle weight? Compare:
Truck A: $3,500$ lbs, $2,800$ lbs Truck B: $3,600$ lbs, $4,200$ lbs Truck C: $4,800$ lbs, $3,600$ lbs Truck D: $4,800$ lbs, $4,200$ lbs

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Problem 2921

Calculate the molar mass of compound $\mathrm{X}_{2} \mathrm{Yy}$ with $X$ (55.13) and $Yy$ (23.50). Round to 2 decimal places.

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Problem 2922

Calculate the average slope 'k' from the CO $_2$ and white solid data. Use $k = \frac{\Delta y}{\Delta x}$ .

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Problem 2923

Calculate the molar mass of the compound $A X_{2} R_{3}$ using average atomic masses: A=24.27, D=93.94, R=11.01, X=22.05.

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Problem 2924

Sky wants a credit card for emergencies. Which fee matters most? A) APR $20.99\%$ B) Grace period 30 days C) Annual fee $\$55$

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Problem 2925

Which credit card is better for Tya, who pays in full and doesn’t travel? A) APR 14.99%, \$50 fee or B) APR 19.99%, \$0 fee?

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Problem 2926

Classify each item as I (income statement), B (balance sheet), or CF (cash flows): Assets, Cash from operations, Equipment, Expenses, Liabilities, Net cash change, Revenues, Total liabilities & equity.

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Problem 2927

8. $10 \frac{3}{16}$ $-1 \frac{1}{32}$
9. $3 \frac{7}{12}$ $-\frac{2}{8}$ 10. $\begin{array}{l} 12 \frac{4}{5} \\ -3 \end{array}$
11. $26 \frac{3}{8}$ $-4 \frac{2}{6}$

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Problem 2928

$y = x + 4$ Complete the table and select the graph that shows this relationship.

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Problem 2929

Consider the following $y$ -intercept and slope: $(0, -3)$ , $m = 4$
Step 2 of 2: Determine the graph of the line with the given $y$ -intercept and slope.

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Problem 2930

What is the total amount of money being added to the account in the table of deposits shown below?
Deposits Amount Incoming ACH \$2174.90 Incoming Phone Transfer \$21.78 Incoming App Transfer \$44.83 Check Mobile Deposit \$23.94
Round to the nearest cent. \$[?]

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Problem 2931

Find a possible formula for the trigonometric function whose values are in the following table.
| x | 0 | 2 | 4 | 6 | 8 | 10 | 12 | |---|---|---|---|---|---|---|---| | y | 2 | -2 | 2 | 6 | 2 | -2 | 2 |
$y =$

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Problem 2932

$x$ | 1 | 2 | 3 | 4 | 5 | 6 ---|---|---|---|---|---|---| $y$ | 849 | 1351 | 2108 | 3224 | 4731 | 8157
Use exponential regression to find an exponential function that best fits this data.
$f(x) =$
Use linear regression to find a linear function that best fits this data.
$g(x) =$
Of these two, which equation best fits the data?
Linear
Exponential

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Problem 2933

Complete the table below, using the Bronsted-Lowry definition, by entering the missing chemical formulas: (Do not use subscripts and superscripts in your answer. Example, $H_2CO_4^-$ would be written as H2CO4-)
Acid | Base | Conjugate Acid | Conjugate Base ---|---|---|--- $HCO_3^-$ | | $NH_4^+$ | | $OH^-$ | | $H_2I$

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Problem 2934

Refer to the accompanying data display that results from a sample of airport data TInterval speeds in Mbps. Complete parts (a) through (c) below.
Click the icon to view a t distribution table. $\begin{array}{l} (13.046,22.15) \\ x=17.598 \\ S x=16.01712719 \\ n=50 \end{array}$ a. What is the number of degrees of freedom that should be used for finding the critical value $t_{\alpha / 2}$ ? $\mathrm{df}=$ (Type a whole number.)

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Problem 2935

G. Calculate the denominator of the fraction that is equal to the stated fraction with the numerator shown. \begin{tabular}{cll} \hline Fraction & Numerator & Denominator \\ \hline 1. $12 / 36$ & 144 & \\ \hline 2. $84 / 6$ & 42 & \\ \hline 3. $1 / 16$ & 8 & \\ \hline \end{tabular}

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Problem 2936

$n = 28$ , $p = 0.55$ Mean: $\mu =$ Variance: $\sigma^2 =$ Standard deviation: $\sigma =$ Part 3 of 4

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Problem 2937

A pizza shop sells three sizes of pizza, and they track how often each size gets ordered along with how much they profit from each size. Let $X$ represent the shop's profit on a randomly selected pizza. Here's the probability distribution of $X$ along with summary statistics:
| | Small | Medium | Large | | :-------- | :---- | :----- | :---- | | $X$ = profit (\$) | 4 | 8 | 12 | | $P(X)$ | 0.18 | 0.50 | 0.32 |
Mean: $\mu_X = \$8.56$ Standard deviation: $\sigma_X = \$2.77$
The company is going to run a promotion where customers get $\$2$ off any size pizza. Assume that the promotion will not change the probability that corresponds to each size. Let $Y$ represent their profit on a randomly selected pizza with this promotion.
What are the mean and standard deviation of $Y$ ?
$\mu_Y =$ ______ dollars $\sigma_Y =$ ______ dollars

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Problem 2938

12 multiplied by 12 12 multiplied by 13 12 multiplied by 14 12 multiplied by 15 12 multiplied by 16 12 multiplied by 17 12 multiplied by 18 12 multiplied by 19 12 multiplied by 20 12 multiplied by 21 12 multiplied by 22 12 multiplied by 23 12 multiplied by 24 12 multiplied by 25

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Problem 2939

Concentration of $CO_2$ in the Atmosphere
Levels of carbon dioxide ( $CO_2$ ) in the atmosphere are rising rapidly, far above any levels ever before recorded. Levels were around 280 parts per million in 1800, before the Industrial Age, and had never, in the hundreds of thousands of years before that, gone above 300 ppm. Levels are now over 400 ppm. The table below shows the rapid rise of $CO_2$ concentrations over the 55 years from 1960-2015 (data also available in Carbon Dioxide). We can use this information to predict $CO_2$ levels in different years.
| Year | $CO_2$ | |---|---| | 1960 | 316.91 | | 1965 | 320.04 | | 1970 | 325.48 | | 1975 | 331.11 | | 1980 | 338.75 | | 1985 | 346.12 | | 1990 | 354.39 | | 1995 | 360.82 | | 2000 | 369.55 | | 2005 | 379.80 | | 2010 | 389.90 | | 2015 | 400.81 |
Concentration of carbon dioxide in the atmosphere
Click here to the dataset associated with this question. Use the 3 e version of the dataset.
If using StatKey, the data needed is preloaded in the drop-down menu in the upper left corner. Click here to access StatKey.
Dr. Pieter Tans, NOAA/ESRL, http://www.esrl.noaa.gov/gmd/ccgg/trends/. Values recorded at the Mauna Loa Observatory in Hawaii.
(a) What is the explanatory variable? What is the response variable? * Year is the explanatory variable and $CO_2$ concentration is the response variable. $CO_2$ concentration is the explanatory variable and Year is the response variable.
(b) Use technology to find the correlation between year and $CO_2$ levels. Round your answer to three decimal places.
(c) Use technology to calculate the regression line to predict $CO_2$ from year. Round your answer for the intercept to one decimal place and your answer for the slope to three decimal places. $CO_2 =$ + (Year)
(d) Interpret the slope of the regression line, in terms of carbon dioxide concentrations. The slope tells the predicted number of years for the $CO_2$ level to go up by that amount. The slope tells the predicted number of years for the $CO_2$ level to go up by one. The slope tells the predicted $CO_2$ level one year later. The slope tells the predicted change in $CO_2$ level one year later.
(e) What is the intercept of the line? Round your answer to one decimal place. The intercept is ____ (Does it make sense in context?)
(f) Use the regression line to predict the $CO_2$ level in 2003. Use rounded slope and the intercept from part (c). Then round your answer to one decimal place. $CO_2$ level in 2003: ____
Use the regression line to predict the $CO_2$ level in 2005. Use rounded slope and the intercept from part (c). Then round your answer to one decimal place. $CO_2$ level in 2005:
(g) Find the residual for 2010. Use rounded slope and the intercept from part (c). Then round your answer to two decimal places. Residual for 2010:

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Problem 2940

A table of values of a linear function is shown below.
$x$ |-2|0|2|4 ---|---:|---:|---:|---: $y$ |10|4|-2|-8
Find the y-intercept and slope of the function's graph.
y-intercept: 4 slope:

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Problem 2941

John collects the running times of some athletes and records the data in the table below. \begin{tabular}{|c|c|} \hline Time $(z$ seconds) & Frequency \\ \hline $50<z \leq 60$ & 7 \\ \hline $60<z \leq 70$ & 4 \\ \hline $70<z \leq 80$ & 3 \\ \hline $80<z \leq 90$ & 7 \\ \hline \end{tabular}
Find the mean of the data in the table. Give your answer correct to 1 decimal place where appropriate.

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Problem 2942

Role model vs. Ievel of education \begin{tabular}{lccc} & Family member & Friend or acquaintance & Stranger \\ \hline Less than high school & 0.09 & 0.12 & 0.19 \\ High school & 0.25 & 0.32 & 0.40 \\ Some college & 0.29 & 0.25 & 0.23 \\ Bachelor's degree & 0.23 & 0.19 & 0.14 \\ Advanced degree & 0.14 & 0.12 & 0.04 \\ Column total & 1.00 & 1.00 & 1.00 \end{tabular}
Based on the data, which of the following statements must be true of the people surveyed?
Choose 1 answer: (A) A person whose role model is a family member is less likely to have an advanced deffree than a person whose role model is a friend or acquaintance. (B) A person whose role model is a stranger is more likely to have high school than some college as their highest level of education. (C) A person whose highest level of education is a bachelor's degree is more likely to have a family member than a stranger as a role model. (D) A person whose highest level of education is less than high school is more likely to have a stranger than a friend or acquaintance as a role model.

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Problem 2943

6. The table below give the number of homes (in thousands) build each year in a developing suburb. Find the rate of change between 2004 and 2007 using the table.
Year | Homes (thousands) ---|--- 2004 | 7.1 2005 | 8.4 2006 | 9.2 2007 | 10.3 2008 | 11

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Problem 2944

A report asked people who got their news from television which television sector they relied on primarily for their news: local TV, network TV, or cable TV. The results were used to generate the data in the table below. Determine whether being female is independent of choice of local TV. Explain your answer in the context of this problem. \begin{tabular}{|c|c|c|c|c|} \hline & Local TV & Network TV & Cable TV & Total \\ \hline Men & 67 & 49 & 55 & \\ \hline Women & 85 & 55 & 56 & \\ \hline Total & & & & \\ \hline \end{tabular}
Since $\square$ $=$ $\square$ \% and $\square$ $=$ $\square$ $\%$ , the events $\square$ independent. (Type integers or decimals rounded to one decimal place as needed.)

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Problem 2945

4. Caleb is comparing the growth of plants using two different fertilizers.
Group A Group B
1 2 3 4 5 Growth (inches)
Part A Use the measures of center from the box plots to make an inference about the data.

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Problem 2946

A recent poll asked respondents to fill in the blank to this question: "The country $\qquad$ when it comes to giving equal rights to women" with one of three choices. The results are shown in the accompanying table using a sample size of 80 men and 80 women. Complete parts a and b below. \begin{tabular}{|l|c|c|c|c|} \hline & \begin{tabular}{c} Hasn't Gone \\ Far Enough \end{tabular} & \begin{tabular}{c} Has Been \\ About Right \end{tabular} & \begin{tabular}{c} Has Gone \\ Too Far \end{tabular} & Total \\ \hline Men & 33 & 35 & 12 & 80 \\ \hline Women & 43 & 29 & 8 & 80 \\ \hline Total & 76 & 64 & 20 & 160 \\ \hline \end{tabular} A. P(male and responded "hasn't gone far enough") B. P(hasn't gone far enough | male) C. $P$ (male I hasn't gone far enough) b. Find the probability that a person randomly selected from only the men in this group responded "hasn't gone far enough."
The probability is $\square$ (Simplify your answer.)

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Problem 2947

Compare production alternatives B and D. Which statements are true: 1. More current consumption, 2. Less future consumption, 3. More future growth, 4. Less future growth?

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Problem 2948

Identify the sequence with constant second differences from these options: $\{-0.5,5,13.5,23\}$ , $\{5,11.5,18.5,24.5\}$ , $\{0.5,5,12.5,23\}$ , $\{5,13.5,23,34.5\}$ .

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Problem 2949

Select numbers that round to 76.73 to the nearest hundredth: {76.732, 76.731, 76.736, 76.737, 76.739}.

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Problem 2950

Find the median of these cholesterol levels: 219, 131, 144, 265, 176, 176, 267, 219. Round to one decimal place if needed.

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Problem 2951

Construct a polynomial function with zeros at $x=4$ (multiplicity 1) and $x=-2$ (multiplicity 3).

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Problem 2952

Find the values of a, b, c, and d in the magic square where all rows, columns, and diagonals sum to 52.

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Problem 2953

Which of these are integers? Select all that apply: -35.7, 18, -\frac{1}{11}, 6.5.

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Problem 2954

Lottery machine outputs digits 0-9 in 200 trials. Find: (a) experimental probability of even numbers, (b) theoretical probability, (c) true statement about trials and probabilities. Round answers to nearest thousandths.

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Problem 2955

Mary rolled a cube 40 times. Find the experimental probability of rolling a 4, the theoretical probability, and a true statement.

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Problem 2956

A spinner has 3 yellow, 1 red, and 1 blue slice. After 1000 spins, Jane got 606 yellow, 181 red, 213 blue.
(a) Find the experimental probability of yellow or red. (b) Find the theoretical probability of yellow or red. (c) True statement about experimental vs theoretical probability with more spins?

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Problem 2957

Find which measures of central tendency (mean, median, mode) do not exist for the waiting times: 1, 3, 3, 5, 5, 5, 6, 12, 12, 12, 12, 13, 15, 19, 23, 27, 31, 37.

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Problem 2958

Fill in the missing amounts for these transactions and account balances:
1. \$200, balance \$200
2. -\$147, balance \$53
3. \$90, balance ?
4. -\$229, balance ?
5. ?, balance \$0

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Problem 2959

Does the exponential function in the table show growth or decay for $x = -3$ to $x = 3$ ?

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Problem 2960

Check if each pair $(x, y)$ is a solution to the equation $x = -7$ .

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Problem 2961

Check if each pair $(x, y)$ is a solution to $7x - 3y = 11$ : $(-1,-6)$ , $(-2,7)$ , $(5,8)$ , $(0,-4)$ .

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Problem 2962

Estimate sales (in billions) for a company from 2006 to 2014 using models $y=0.08 x+0.12$ and $y=0.92 x-0.2$ . Find residuals.

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Problem 2963

Given a survey, if the price of Apple computers is \$1,200, calculate total consumer surplus for four consumers. Choices: \$345, \$415, \$380, \$5,145.

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Problem 2964

If the price drops by \$1, how much does the total quantity demanded by Michelle, Laura, and Hillary increase? Choices: 4, 5, 2, or 3 units.

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Problem 2965

Pour chacun des nombres, indique l'ensemble qui lui convient le mieux ( $N, Z, D, Q, Q{ }^{\prime}$ ). a) 4,698 b) $\sqrt[3]{-343}$ $\square$ C) $-\frac{8}{4}$ $\square$ b) $\sqrt[3]{-343} \square$ $\square$ d) $-3,4$ $\square$ e) 2065 $\square$ f) $\frac{5 \pi}{2}$ $\square$ g) $3,12 \overline{45}$ $\square$ h) 3,14159 $\square$

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Problem 2966

Comparing Speeds
Arnie's Airplane
Distance (mi) 10 8 6 4 2
Time (min) 2 4 6 8 10
Find each slope from the graph and table to compare the constant speeds of the two airplanes.
What is the constant speed (slope) of Arnie's airplane?
What is the constant speed (slope) of Bernie's biplane?
Who flew faster?
Bernie's Biplane Time (min) $(x)$ | Distance (mi) $(y)$ ------- | -------- 3 | 21 5 | 35 8 | 56
Intro Done

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Problem 2967

A manufacturer of auto windows employs a constant quality control technique where the thickness of glass is checked every hour. A perfect piece of glass will have a thickness of 4 mm. From past experience, it is known that the standard deviation of thickness is $0.4$ mm. The result of one shift's production is given in the following table. You were asked to find the centerline for the $\bar{x}$ chart.
Glass Thickness (mm)
| Sample | Observations | Sample | Observations | |---|---|---|---| | 1 | 3 6 2 4 6 | 9 | 3 6 6 3 4 | | 2 | 4 2 2 6 5 | 10 | 4 5 2 6 5 | | 3 | 6 3 5 5 2 | 11 | 3 5 2 3 6 | | 4 | 2 5 3 3 6 | 12 | 5 2 4 5 3 | | 5 | 6 4 5 3 3 | 13 | 5 5 3 4 2 | | 6 | 5 5 5 2 4 | 14 | 5 3 4 4 5 | | 7 | 3 6 3 4 6 | 15 | 5 6 2 2 6 | | 8 | 5 4 3 2 5 | 16 | 4 5 3 3 6 |
Recall that when the process mean is known, the $\bar{x}$ chart is centered around it.

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Problem 2968

Do men score higher on average compared to women on their statistics finals? Final exam scores of thirteen randomly selected male statistics students and twelve randomly selected female statistics students are shown below.
Male: $\begin{array}{lllllllllllll}93 & 77 & 64 & 71 & 72 & 62 & 84 & 70 & 89 & 73 & 63 & 88 & 94\end{array}$ $\begin{array}{lllllllllllll}\text { Female: } 83 & 46 & 58 & 81 & 49 & 74 & 62 & 70 & 69 & 66 & 58 & 68\end{array}$ Assume both follow a Normal distribution. What can be concluded at the the $\alpha=0.01$ level of significance level of significance?
For this study, we should use Select an answer a. The null and alternative hypotheses would be: $H_{0}$ : Select an answer Select an answer Select an answer (6) (please enter a decimal) $H_{1}$ : Select an answer Select an answer Select an answer (Please enter a decimal) b. The test statistic ? $0=$ $\square$ (please show your answer to 3 decimal places.) c. The $p$ -value $=$ $\square$ (Please show your answer to 4 decimal places.) d. The $p$ -value is ? $\alpha$ e. Based on this, we should Select an answer the null hypothesis. f. Thus, the final conclusion is that ... The results are statistically insignificant at $\alpha=0.01$ , so there is statistically significant evidence to conclude that the population mean statistics final exam score for men is equal to the population mean statistics final exam score for women. The results are statistically significant at $\alpha=0.01$ , so there is sufficient evidence to conclude that the population mean statistics final exam score for men is more than the population mean statistics final exam score for women. The results are statistically significant at $\alpha=0.01$ , so there is sufficient evidence to conclude that the mean final exam score for the thirteen men that were observed is more than the mean final exam score for the twelve women that were observed. The results are statistically insignificant at $\alpha=0.01$ , so there is insufficient evidence to conclude that the population mean statistics final exam score for men is more than the population mean statistics final exam score for women.

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Problem 2969

Let $y$ denote the number of broken eggs in a randomly selected carton of one dozen eggs. \begin{tabular}{|c|c|c|c|c|c|} \hline $y$ & 0 & 1 & 2 & 3 & 4 \\ \hline $p(y)$ & 0.60 & 0.25 & 0.10 & 0.03 & 0.02 \\ \hline \end{tabular} (a) Calculate and interpret $\mu_{y}$ . $\mu_{y}=$ $\square$ (b) Consider the following questions. (i) In the long run, for what percentage of cartons is the number of broken eggs less than $\mu_{y}$ ? $\qquad$ \% (ii) Does this surprise you? Yes No (c) Explain why $\mu_{y}$ is not equal to $\frac{0+1+2+3+4}{5}=2.0$ . This computation of the mean is incorrect because it does not take into account that the number of broken eggs are all equally likely. This computation of the mean is incorrect because the value in the denominator should equal the maximum $y$ value. This computation of the mean is incorrect because it does not take into account the number of partially broken eggs. This computation of the mean is incorrect because it includes zero in the numerator which should not be taken into account when calculating the mean. This computation of the mean is incorrect because it does not take into account the probabilities with which the number of broken eggs need to be weighted.

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Problem 2970

5. Given the following information from 1 member of a family with a husband, a wife and 1 child.
Husband's Income \$40,000 Wife's Income \$60,000 Mortgage \$95,000 Car Loan \$25,000 Childs Future Education Expense \$50,000 Funeral Expenses \$10,000
a. Calculate the Life Insurance needs for the Wife.
b. What is your reasoning behind that dollar amount of Life Insurance for the Wife?

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Problem 2971

A biologist looked at the relationship between number of seeds a plant produces and the percent of those seeds that sprout. The results of the survey are shown below. \begin{tabular}{|c|r|r|r|r|r|l|l|l|} \hline Seeds Produced & 48 & 57 & 65 & 63 & 61 & 60 & 56 & 52 \\ \hline Sprout Percent & 57 & 54.5 & 50.5 & 50.5 & 53.5 & 51 & 61 & 66 \\ \hline \end{tabular} a. Find the correlation coefficient: $r=$ $\square$ Round to 2 decimal places. b. The null and alternative hypotheses for correlation are: $\begin{array}{l} H_{0}: ? \quad \text { ? }=0 \\ H_{1}: ? \text { ? } \neq 0 \end{array}$
The $p$ -value is: $\square$ (Round to four decimal places) c. Use a level of significance of $\alpha=0.05$ to state the conclusion of the hypothesis test in the context of the study. There is statistically insignificant evidence to conclude that there is a correlation between the number of seeds that a plant produces and the percent of the seeds that sprout. Thus, the use of the regression line is not appropriate. There is statistically significant evidence to conclude that a plant that produces more seeds will have seeds with a lower sprout rate than a plant that produces fewer seeds. There is statistically significant evidence to conclude that there is a correlation between the number of seeds that a plant produces and the percent of the seeds that sprout. Thus, the regression line is useful. There is statistically insignificant evidence to conclude that a plant that produces more seeds will have seeds with a lower sprout rate than a plant that produces fewer seeds. d. $r^{2}=$ $\square$ (Round to two decimal places) e. Interpret $r^{2}$ : $54 \%$ of all plants produce seeds whose chance of sprouting is the average chance of sprouting. Given any group of plants that all produce the same number of seeds, $54 \%$ of all of these plants will produce seeds with the same chance of sprouting. There is a $54 \%$ chance that the regression line will be a good predictor for the percent of seeds that sprout based on the number of seeds produced. There is a large variation in the percent of seeds that sprout, but if you only look at plants that produce a fixed number of seeds, this variation on average is reduced by $54 \%$ .

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Problem 2972

A biologist looked at the relationship between number of seeds a plant produces and the percent of those seeds that sprout. The results of the survey are shown below. \begin{tabular}{|c|l|r|r|r|r|l|l|l|} \hline Seeds Produced & 48 & 57 & 65 & 63 & 61 & 60 & 56 & 52 \\ \hline Sprout Percent & 57 & 54.5 & 50.5 & 50.5 & 53.5 & 51 & 61 & 66 \\ \hline \end{tabular} a. Find the correlation coefficient: $r=$ $\square$ $-0.73$ Round to 2 decimal places. b. The null and alternative hypotheses for correlation are: $\begin{array}{l} H_{0}: \rho \Delta^{2}=0 \\ H_{1}: \rho \nabla^{2} \neq 0 \end{array}$
The $p$ -value is: $\square$ (Round to four decimal places) c. Use a level of significance of $\alpha=0.05$ to state the conclusion of the hypothesis test in the context of the study. There is statistically insignificant evidence to conclude that there is a correlation between the number of seeds that a plant produces and the percent of the seeds that sprout. Thus, the use of the regression line is not appropriate. There is statistically significant evidence to conclude that a plant that produces more seeds will have seeds with a lower sprout rate than a plant that produces fewer seeds. There is statistically significant evidence to conclude that there is a correlation between the number of seeds that a plant produces and the percent of the seeds that sprout. Thus, the regression line is useful. There is statistically insignificant evidence to conclude that a plant that produces more seeds will have seeds with a lower sprout rate than a plant that produces fewer seeds. d. $r^{2}=$ $\square$ 0.54 (Round to two decimal places)

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Problem 2973

Complete the following truth table. Use T for true and F for false. You may add more colymon put those added columns will not be graded. \begin{tabular}{|c|c|c|c|} \hline $p$ & $q$ & $\sim q \rightarrow \sim p$ & $\sim p \rightarrow \sim q$ \\ \hline T & T & $\square$ & $\square$ \\ \hline T & F & $\square$ & $\square$ \\ \hline F & T & $\square$ & $\square$ \\ \hline F & F & $\square$ & $\square$ \\ \hline \end{tabular} $\left\{\begin{array}{ccc}p & q & \\ \sim \square & \square \wedge \square & \square \vee \square \\ \square \rightarrow \square & \square \mapsto \square & \\ x & 5\end{array}\right.$

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Problem 2974

$30$ $21$ $19$ $35$ $36$ $34$ $28$ $29$ $15$ $20$ $27$ $22$ $25$ $32$ $33$ $36$ $38$ $24$ Send data to calculator
(a) Complete the grouped frequency distribution for the data. (Note that the class width is $6$ .) Shopping times (in minutes) Frequency $14.5$ to $20.5$ $20.5$ to $26.5$ $26.5$ to $32.5$ $32.5$ to $38.5$

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Problem 2975

Giving a test to a group of students, the grades and gender are summarized below Grades and Gender \begin{tabular}{|c|r|r|r|r|} \hline & \multicolumn{1}{|c|}{ A } & B & C & Total \\ \hline Male & 19 & 10 & 18 & $\mathbf{4 7}$ \\ \hline Female & 2 & 3 & 9 & $\mathbf{1 4}$ \\ \hline Total & $\mathbf{2 1}$ & $\mathbf{1 3}$ & $\mathbf{2 7}$ & $\mathbf{6 1}$ \\ \hline \end{tabular}
If one student is chosen at random, find the probability that the student was female AND got a "C". Round your answer to 4 decimal places. $\square$

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Problem 2976

myopenmath.com
The following table shows retail sales in drug stores in billions of dollars in the U.S. for years since 1995. \begin{tabular}{|c|c|} \hline Year & Retail Sales \\ \hline 0 & 85.851 \\ \hline 3 & 108.426 \\ \hline 6 & 141.781 \\ \hline 9 & 169.256 \\ \hline 12 & 202.297 \\ \hline 15 & 222.266 \\ \hline \end{tabular}
Let $S(t)$ be the retails sales in billions of dollars in $t$ years since 1995. A linear model for the data is $F(t)=9.44 t+84.182$ .
Use the above scatter plot to decide whether the linear model fits the data well. The function is a good model for the data. The function is not a good model for the data Estimate the retails sales in the U. S. in 2013. $\square$ billions of dollars. Use the model to predict the year that corresponds to retails sales of $\$ 237$ billion. $\square$

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Problem 2977

```latex \textbf{Problem:}
Given the following data on the average number of weekly hours worked by U.S. production workers from 1967 to 1996:
\begin{center} \begin{tabular}{|c|c|} \hline Year & Hours Worked \\ \hline 1967 & 38.0 \\ 1968 & 37.8 \\ 1969 & 37.7 \\ 1970 & 37.1 \\ 1971 & 36.9 \\ 1972 & 37.0 \\ 1973 & 36.9 \\ 1974 & 36.5 \\ 1975 & 36.1 \\ 1976 & 36.1 \\ 1977 & 36.0 \\ 1978 & 35.8 \\ 1979 & 35.7 \\ 1980 & 35.3 \\ 1981 & 35.2 \\ 1982 & 34.8 \\ 1983 & 35.0 \\ 1984 & 35.2 \\ 1985 & 34.9 \\ 1986 & 34.8 \\ 1987 & 34.8 \\ 1988 & 34.7 \\ 1989 & 34.6 \\ 1990 & 34.5 \\ 1991 & 34.3 \\ 1992 & 34.4 \\ 1993 & 34.5 \\ 1994 & 34.7 \\ 1995 & 34.5 \\ 1996 & 34.4 \\ \hline \end{tabular} \end{center}
1. Construct a scatter diagram and comment on the relationship, if any, between the variable Year and Hours Worked.
2. Determine and interpret the correlation for the year and hours worked. Based upon the value of the correlation, is your answer to the previous question reasonable?
3. Based upon the data given, estimate the average weekly hours worked this year. How confident are you in your estimate? You should use a linear regression model to make your prediction.
4. Assuming a linear correlation between these two variables, what will happen to the average weekly hours worked in the future? Is it possible for this pattern to continue indefinitely? Explain.

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Problem 2978

\begin{tabular}{cccc} & Bachelor's & Master's & Doctorate \\ Men & 653,037 & 313,838 & 25,771 \\ Women & 687,564 & 315,906 & 25,253 \end{tabular}
Send data to Excel
Choose a degree at random. Find the probabilities of the following. Express your answer as a fraction or a decimal rounded to three decimal places.
Part 1 of 4 (a) What is the probability that the degree is a bachelor's degree? $P(\text { bachelor's degree })=0.663$
Part 2 of 4 (b) What is the probability that the degree was a master's degree or a degree awarded to a women? $P(\text { master's degree or awarded to woman })=0.664$
Part: 2 / 4
Part 3 of 4 (c) What is the probability that the degree was a bachelor's degree awarded to a men. $P(\text { bachelor's degree awarded to men })=$ $\square$ Skip Part Check Save For Later Submit Assianm

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Problem 2979

Part 1 of 3 Points: 0 of 1 Save
Question list A sample of blood pressure measurements is taken for a group of adults, and those values ( mm Hg ) are listed below. The values are matched so that 10 subjects each have a systolic and diastolic measurement. Find the coefficient of variation for each of the two samples; then compare the variation. \begin{tabular}{rrrrrrrrrrr} Systolic & 120 & 128 & 159 & 95 & 155 & 121 & 115 & 137 & 126 & 119 \\ Dᄆ 5 \\ Diastolic & 82 & 78 & 76 & 52 & 91 & 87 & 57 & 65 & 70 & 80 \end{tabular}
Question 19
Question 20 The coefficient of variation for the systolic measurements is $\square$ \%. (Type an integer or decimal rounded to one decimal place as needed.) Question 21
Question 22
Question 23
Question 24 Clear all Check answer Dec 8 10:43 US

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Problem 2980

Question 14 of 25 (1 point) | Question Attempt: 1 or I
College Degrees Awarded The table below represents the college degrees awarded in a recent academic year by Español gender. \begin{tabular}{cccc} & Bachelor's & Master's & Doctorate \\ \hline Men & 548,254 & 251,468 & 23,728 \\ Women & 609,872 & 270,538 & 23,320 \end{tabular} Send data to Excel
Choose a degree at random. Find the probabilities of the following. Express your answer as a fraction or a decimal rounded to three decimal places.
Part: $0 / 4$ $\square$
Part 1 of 4 (a) What is the probability that the degree is a doctorate? $P(\text { doctorate })=0.027$ $\square$
Part: $1 / 4$ $\square$
Part 2 of 4 (b) What is the probability that the degree was a bachelor's degree or a degree awarded to a men? $P(\text { bachelor's degree or awarded to men })=$ $\square$ Next Part

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Problem 2981

Identify the transformation based on the coordinates below. Figure 1: $E$ (-9, 3), $F$ (-8, 5), $G$ (-5, 5), $H$ (-4, 3) Figure 1': $E'$ (9, -3), $F'$ (8, -5), $G'$ (5, -5), $H'$ (4, -3) $90^\circ$ rotation (clockwise) $180^\circ$ rotation dilation

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Problem 2982

Copilot wig \begin{tabular}{|c|c|c|c|c|c|c|} \hline \multirow[b]{2}{*}{Educational Level} & \multicolumn{6}{|c|}{Houschold Income (\10UOS)} \\ \hline & Under 25 & $\begin{array}{c} 25.0- \\ 49.9 \end{array}$ & $\begin{array}{l} 50.0- \\ 74.9 \\ \hline \end{array}$ & $\begin{array}{l} 75.0- \\ 99.9 \\ \hline \end{array}$ & $\begin{array}{l} 100 \text { or } \\ \text { more } \end{array}$ & Total \\ \hline Not HS. graduate H.S. graduate & 4207 & 3459 & 1389 & 539 & 367 & 9061 \\ \hline Some college & 4917 & 6850 & 5027 & 2637 & 2668 & $22000$ $ \\ \hline Bachelor's degree & 2807 & 5258 & 4678 & 3250 & 4074 & 20067 \\ \hline Beyond bach. deg. & 885 290 & 2094 829 & 2848 & 2581 & 5379 & 13787 \\ \hline Total & & 829 & 1274 & 1241 & 4188 & 7822 \\ \hline & & 1849 & 15216 & 10248 & 16676 & 73736 \\ \hline \end{tabular}
A] Compute column percentages. أحسب الثسب المنوية للأعمد.
B] What percentage of the heads of households did not graduate from high school? ما هي نسبة أرباب الأسر النين لم يتخرجوا من الثانوية العامة؟
C] What percentage of the households earning $\$ 50,000$ or more were headed by a person having schooling beyond a bachelor's degree? ما هي النسبة المنوية للاسر التي تكسب . 0 ألف دولار أو أكثر والتي يرأسها شخص حصل على تعليم يتجاوز رجة البكالوريوس؟
D] Construct percent frequency histograms of income for households headed by persons with a high school degree and for those headed by persons with a bachelor's degree. Is any relationship evident between household income and educational level? التي ير أسها أشخاص حاصلون على درجة البكالوربيرس.
هل توجد علاقة واضحة بين دخل الأسرة و المستوى التُعلبيمي؟

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Problem 2983

Homework: HW \#12: Sections 9.1-9.3 Question 40, 9.3.11-T HW Score: $71.53 \%, 35.76$ of 50 points Part 1 of 6 Points: 0 of 1 Save
Question list Question 40 Question 41 */, Question 42 x/s Question 43 Question 44 Question 45
The following data lists the ages of a random selection of actresses when they won an award in the category of Best Actress, along with the ages of actors when they won in the category of Best Actor. The ages are matched according to the year that the awards were presented. Complete parts (a) and (b) below. \begin{tabular}{lllllllllll} \hline Actress (years) & 25 & 25 & 33 & 26 & 39 & 28 & 24 & 41 & 33 & 37 \\ \hline Actor (years) & 60 & 40 & 33 & 38 & 31 & 33 & 49 & 42 & 34 & 43 \\ \hline \end{tabular} a. Use the sample data with a 0.05 significance level to test the claim that for the population of ages of Best Actresses and Best Actors, the differences have a mean less than 0 (indicating that the Best Actresses are generally younger than Best Actors). In this example, $\mu_{\mathrm{d}}$ is the mean value of the differences d for the population of all pairs of data, where each individual difference d is defined as the actress's age minus the actor's age. What are the null and altermative hypotheses for the hypothesis test? $\mathrm{H}_{0}: \mu_{\mathrm{d}}$ $\square$ year(s) $\mathrm{H}_{1}: \mu_{\mathrm{d}}$ $\square$ years) (Type integers or decimals. Do not round.)
Help me solve this View an example Get more help - Clear all check answer

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Problem 2984

$x$ $y$ $-7$ $12$ $-2.4$ $12$ $4$ $12$ $132$ $12$

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Problem 2985

Hopewell Area Sites Dashboard I Khan... Bottom Floor and Fi... Classes Epic I The Leading . Canvas Mathtutor - a free si. AdaptEmEx • Hon Graphs, Functions, and Sequences Identifying proportional relationships in tables by calculating unit rates:...
For each table, determine whether it shows that $x$ and $y$ are proportional. If $x$ and $y$ are proportional, fill in the blank with a number in simplest form.
Table 1 \begin{tabular}{|c|c|c|c|c|} \hline $x$ & 6 & 14 & 20 & 24 \\ \hline $y$ & 9 & 21 & 30 & 36 \\ \hline \end{tabular}
Proportional $y$ is $\square$ times $x$ Not proportional
Table 2 \begin{tabular}{|c|c|c|c|c|} \hline $x$ & 12 & 16 & 20 & 24 \\ \hline $y$ & 16 & 20 & 24 & 28 \\ \hline \end{tabular} Proportional $y$ is $\square$ times $x$ Not proportional

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Problem 2986

1. Number of steps taken per day and number of kilometers walked per day. $r = 0.92$
2. Temperature of a rubber band and distance the rubber band can stretch. $r = 0.84$
3. Car weight and distance traveled using a full tank of gas. $r = -0.86$
4. Average fat intake per citizen of a country and average cancer rate of a country. $r = 0.73$
5. Score on science exam and number of words written on the essay question. $r = 0.28$
6. Average time spent listening to music per day and average time spent watching TV per day. $r = -0.17$

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Problem 2987

Quiz 1 (10 points) ID number:
$n$ subjects were chosen to study the length of time an adult rinses with a mouthwash in relation to the manufacturer's recommended rinsing time. The random variable $X_i$ represents the length of time in seconds the $i$ th subject has rinsed. 15 20 31 13 32 23 26 18
Compute the following:
1. mean
2. Median. Interpret it in words
3. standard deviation
4. the first quartile
Coefficient of variation
Skewness coefficient

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Problem 2988

QUESTION 4
$(5, 18)$ $(4, 13.5)$ $(3, 9)$
Given the graph of a linear function, identify the steps used to find the initial value. Check all that apply. The initial value corresponds to the $y$ value when $x = 0$ . The initial value corresponds to the $y$ value when $x = 1$ . Find corresponding $y$ values when $x = 6$ , $x = 7$ , and $x = 8$ . Then plot the points to finish the line. Find corresponding $y$ values when $x = 2$ , $x = 1$ , and $x = 0$ . Then plot the points to finish the line. Find the rate of change using rise over run.

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Problem 2989

Two bikers rode at a constant speed on a 150-meter track. The data here show each biker's distance for a certain part of the race. Who won the race and by how much? Student 1 Time (sec) Distance (m) 4 40 6 60 8 80 10 100 Student 2 $y$ 100 $(10, 105)$ 90 80 Distance (m) 70 $(8, 84)$ 60 50 $(6, 63)$ 40 $(4, 42)$ 30 20 10 $x$ 2 4 6 8 10 12 14 Time (sec) For the toolbar, press ALT

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Problem 2990

Reyna made a table showing how many sit-ups she could do every 3 seconds. Use the table to match the characteristics of the function with their real world meaning.
Seconds | Sit-ups ------- | -------- 0 | 0 3 | 2 6 | 4 9 | 6 12 | 8

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Problem 2991

\begin{tabular}{|c|c|c|} \hline $x$ & 4 & 8 \\ \hline $f(x)$ & 11 & 6 \\ \hline $f^{\prime}(x)$ & -4 & -3 \\ \hline \end{tabular}
The table above gives selected values for a differentiable and decreasing function $f$ and its derivatives. Let $g$ be the decreasing function given by $g(x)=f(4 x)-f(2 x)$ , where $g(2)=f(8)-$ $f(4)=-5$ . What is $\left(g^{-1}\right)^{\prime}(-5)$ ?

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Problem 2992

4) In a pilot study we collected data on how many words 5 participants can remember. The data for this sample is 4, 5, 6, 7, and 8. In the general population, people can remember 8 words. What is the t value for this sample data? QUESTION 5

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Problem 2993

Which number is not a rational number? $-5 \frac{4}{11}$ $\sqrt{31}$ 7.608 $18.4 \overline{\overline{6}}$

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Problem 2994

The costs of different weights of onions sold at a grocery store are shown in the table below. What are the independent and dependent variables in this situation?
Cost for Onions \begin{tabular}{|c|c|} \hline Weight of Onions (Pounds) & Total Cost \\ \hline 0.6 & $\$ 0.48$ \\ \hline 1.3 & $\$ 1.04$ \\ \hline 2.5 & $\$ 2.00$ \\ \hline 3.7 & $\$ 2.96$ \\ \hline \end{tabular}

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Problem 2995

\begin{tabular}{|c|c|} \hline Miles Traveled & \begin{tabular}{c} Gallons of Gas \\ Used \end{tabular} \\ \hline 48 & 1 \\ \hline $a$ & 2 \\ \hline $b$ & 3 \\ \hline $c$ & 4 \\ \hline \end{tabular}
A motorcycle can travel 48 miles for every gallon of gas used.
Use the unit rate to complete the table for the miles traveled by a motorcycle. $\begin{array}{l} a= \\ b= \\ c=49 \end{array}$ 50 96 Intro Done

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Problem 2996

\begin{tabular}{|c|c|} \hline Miles Traveled & \begin{tabular}{c} Gallons of Gas \\ Used \end{tabular} \\ \hline 30.5 & 1 \\ \hline 61 & 2 \\ \hline $x$ & 3 \\ \hline 122 & 4 \\ \hline \end{tabular} gas used. Use proportional reasoning to find the value of $x$ that completes the table showing this relationship. $x=$ Done

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Problem 2997

$x$ | $y = -x + 3$ | $y = 2x + 1$ ---|---|---| 0.5 | 2.5 | 2 0.6 | 2.4 | 2.2 0.7 | 2.3 | 2.4 0.8 | 2.2 | 2.6 0.9 | 2.1 | 2.8 1 | 2 | 3
c. Which two x-values will the solution be between? (1 point)
d. Identify a reasonable approximation for the solution of this system. (2 points)
6. Find the solution to a system of inequalities. (6 points)

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Problem 2998

Question 7 of 16 (1 point) Question Attempt: 1 of 1 Time Remaining tarks "general anxiety" of an individual, with higher GAS scores corresponding to more anxiety. (Dr. Elbod's assessment of anxiety is based on a variety of measurements, both physiological and psychological.) $\hat{y}=8.32-0.27 x$ . This line, along with a scatter plot of the sample data, is shown below. \begin{tabular}{|c|c|} \hline GAS score, $\boldsymbol{x}$ & \begin{tabular}{c} Sleep time, $\boldsymbol{y}$ \\ (in hours) \end{tabular} \\ \hline 6.5 & 6.1 \\ \hline 7.0 & 6.5 \\ \hline 5.9 & 7.9 \\ \hline 1.0 & 6.9 \\ \hline 1.6 & 8.6 \\ \hline 4.0 & 6.6 \\ \hline 3.0 & 7.1 \\ \hline 3.6 & 8.2 \\ \hline 9.1 & 6.1 \\ \hline 3.5 & 7.5 \\ \hline 7.9 & 6.9 \\ \hline 2.0 & 8.3 \\ \hline 9.2 & 5.3 \\ \hline 8.1 & 5.4 \\ \hline 5.2 & 6.2 \\ \hline \end{tabular} Send data to calculator Send data to Excel
Based on the study's data and the regression line, answer the following. (a) From the regression equation, what is the predicted sleep time (in hours) when the GAS score is 8.1 ? Round your answer to one or more decimal places.

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Problem 2999

What is the minimum of the numbers listed below? $330, \quad 71, \quad 103, \quad 59, \quad 231$

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Problem 3000

The wingspans of five species of birds are shown below. What is the maximum wingspan? Give your answer in centimetres (cm). Not to scale

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1 ...27 28 29 30 31 32 33 ...36

Data

Problem 2901

Problem 2902

Problem 2903

Problem 2904

Problem 2905

Problem 2906

Problem 2907

A(8,5,−6)A(8, 5, -6)A(8,5,−6), B(4,7,9)B(4, 7, 9)B(4,7,9), C(2,1,6)C(2, 1, 6)C(2,1,6) ج) إذا كانت : فبرهن باستخدام المتجهات أن النقط AAA, BBB, CCC تمثل رؤوس مثلث الزاوية

Problem 2908

Problem 2909

A line intersects the points (5,3) and (8,−6)m=−3\begin{array}{c} (5,3) \text { and }(8,-6) \\ m=-3 \end{array}(5,3) and (8,−6)m=−3​Write the equation of this line in point-slope form using the point (5,3)(5,3)(5,3). y−[?]=□(x−□)y-[?]=\square(x-\square)y−[?]=□(x−□) Enter

Problem 2910

Calculate the Mean Absolute Deviation (MAD) for the numbers: 12, 15, 13, 23, 19, 19, 10.

Problem 2911

Order the fractions of students moving up to Level 2: 23,712,1724,34\frac{2}{3}, \frac{7}{12}, \frac{17}{24}, \frac{3}{4}32​,127​,2417​,43​.

Problem 2912

Estimate the area under f(x)f(x)f(x) from x=0x=0x=0 to x=8x=8x=8 using 4 rectangles and left endpoints. Calculate L4L_{4}L4​.

Problem 2913

Calculate the mean absolute deviation of the race car speeds: 95, 94, 99, 101, 101, 92.

Problem 2914

Calculate the mean absolute deviation of these basketball player heights: 65, 62, 58, 63.

Problem 2915

Which substance has the greatest temperature increase when the same energy is added? Explain using specific heat values.

Problem 2916

Given the cereal calories: 100, 125, 125, 175, 175, 210. Which brand won't change the interquartile range? A. 90 B. 100 C. 145 D. 225

Problem 2917

Find the next number in the sequence: 7,18,29,…7, 18, 29, \ldots7,18,29,…

Problem 2918

Find the equation for math grade yyy based on days absent xxx: A. y=25x+90y=\frac{2}{5} x+90y=52​x+90, B. y=−25x+90y=-\frac{2}{5} x+90y=−52​x+90, C. y=52x+90y=\frac{5}{2} x+90y=25​x+90, D. y=−52x+90y=-\frac{5}{2} x+90y=−25​x+90.

Problem 2919

Complete the table using A=P(1+rn)ntA = P (1 + \frac{r}{n})^{nt}A=P(1+nr​)nt for total amount and interest earned. Initial: \$25,000, 20 years.

Problem 2920

Which truck should Jennifer buy based on towing capacity and vehicle weight? Compare: Truck A: 3,5003,5003,500 lbs, 2,8002,8002,800 lbs Truck B: 3,6003,6003,600 lbs, 4,2004,2004,200 lbs Truck C: 4,8004,8004,800 lbs, 3,6003,6003,600 lbs Truck D: 4,8004,8004,800 lbs, 4,2004,2004,200 lbs

Problem 2921

Calculate the molar mass of compound X2Yy\mathrm{X}_{2} \mathrm{Yy}X2​Yy with XXX (55.13) and YyYyYy (23.50). Round to 2 decimal places.

Problem 2922

Calculate the average slope 'k' from the CO2_22​ and white solid data. Use k=ΔyΔxk = \frac{\Delta y}{\Delta x}k=ΔxΔy​.

Problem 2923

Calculate the molar mass of the compound AX2R3A X_{2} R_{3}AX2​R3​ using average atomic masses: A=24.27, D=93.94, R=11.01, X=22.05.

Problem 2924

Sky wants a credit card for emergencies. Which fee matters most? A) APR 20.99%20.99\%20.99% B) Grace period 30 days C) Annual fee $55\$55$55

Problem 2925

Which credit card is better for Tya, who pays in full and doesn’t travel? A) APR 14.99%, \$50 fee or B) APR 19.99%, \$0 fee?

Problem 2926

Classify each item as I (income statement), B (balance sheet), or CF (cash flows): Assets, Cash from operations, Equipment, Expenses, Liabilities, Net cash change, Revenues, Total liabilities & equity.

Problem 2927

8. 1031610 \frac{3}{16}10163​ −1132-1 \frac{1}{32}−1321​9. 37123 \frac{7}{12}3127​ −28-\frac{2}{8}−82​ 10. 1245−3\begin{array}{l} 12 \frac{4}{5} \\ -3 \end{array}1254​−3​11. 263826 \frac{3}{8}2683​ −426-4 \frac{2}{6}−462​

Problem 2928

y=x+4y = x + 4y=x+4 Complete the table and select the graph that shows this relationship.

Problem 2929

Consider the following yyy-intercept and slope: (0,−3)(0, -3)(0,−3), m=4m = 4m=4Step 2 of 2: Determine the graph of the line with the given yyy-intercept and slope.

Problem 2930

What is the total amount of money being added to the account in the table of deposits shown below?Deposits Amount Incoming ACH \$2174.90 Incoming Phone Transfer \$21.78 Incoming App Transfer \$44.83 Check Mobile Deposit \$23.94Round to the nearest cent. \$[?]

Problem 2931

Find a possible formula for the trigonometric function whose values are in the following table.| x | 0 | 2 | 4 | 6 | 8 | 10 | 12 | |---|---|---|---|---|---|---|---| | y | 2 | -2 | 2 | 6 | 2 | -2 | 2 |y=y =y=

Problem 2932

Problem 2933

Problem 2934

Problem 2935

Problem 2936

n=28n = 28n=28, p=0.55p = 0.55p=0.55 Mean: μ=\mu = μ= Variance: σ2=\sigma^2 = σ2= Standard deviation: σ=\sigma = σ= Part 3 of 4

Problem 2937

Problem 2938

12 multiplied by 12 12 multiplied by 13 12 multiplied by 14 12 multiplied by 15 12 multiplied by 16 12 multiplied by 17 12 multiplied by 18 12 multiplied by 19 12 multiplied by 20 12 multiplied by 21 12 multiplied by 22 12 multiplied by 23 12 multiplied by 24 12 multiplied by 25

Problem 2939

Problem 2940

A table of values of a linear function is shown below.xxx|-2|0|2|4 ---|---:|---:|---:|---: yyy|10|4|-2|-8Find the y-intercept and slope of the function's graph.y-intercept: 4 slope:

Problem 2941

Problem 2942

Problem 2943

6. The table below give the number of homes (in thousands) build each year in a developing suburb. Find the rate of change between 2004 and 2007 using the table.Year | Homes (thousands) ---|--- 2004 | 7.1 2005 | 8.4 2006 | 9.2 2007 | 10.3 2008 | 11

Problem 2944

Problem 2945

4. Caleb is comparing the growth of plants using two different fertilizers.Group A Group B1 2 3 4 5 Growth (inches)Part A Use the measures of center from the box plots to make an inference about the data.

Problem 2946

Problem 2947

Compare production alternatives B and D. Which statements are true: 1. More current consumption, 2. Less future consumption, 3. More future growth, 4. Less future growth?

Problem 2948

Identify the sequence with constant second differences from these options: {−0.5,5,13.5,23}\{-0.5,5,13.5,23\}{−0.5,5,13.5,23}, {5,11.5,18.5,24.5}\{5,11.5,18.5,24.5\}{5,11.5,18.5,24.5}, {0.5,5,12.5,23}\{0.5,5,12.5,23\}{0.5,5,12.5,23}, {5,13.5,23,34.5}\{5,13.5,23,34.5\}{5,13.5,23,34.5}.

$A(8, 5, -6)$ , $B(4, 7, 9)$ , $C(2, 1, 6)$ ج) إذا كانت : فبرهن باستخدام المتجهات أن النقط $A$ , $B$ , $C$ تمثل رؤوس مثلث الزاوية

A line intersects the points $\begin{array}{c} (5,3) \text { and }(8,-6) \\ m=-3 \end{array}$
Write the equation of this line in point-slope form using the point $(5,3)$ . $y-[?]=\square(x-\square)$ Enter

Order the fractions of students moving up to Level 2: $\frac{2}{3}, \frac{7}{12}, \frac{17}{24}, \frac{3}{4}$ .

Estimate the area under $f(x)$ from $x=0$ to $x=8$ using 4 rectangles and left endpoints. Calculate $L_{4}$ .

Find the next number in the sequence: $7, 18, 29, \ldots$

Find the equation for math grade $y$ based on days absent $x$ : A. $y=\frac{2}{5} x+90$ , B. $y=-\frac{2}{5} x+90$ , C. $y=\frac{5}{2} x+90$ , D. $y=-\frac{5}{2} x+90$ .

Complete the table using $A = P (1 + \frac{r}{n})^{nt}$ for total amount and interest earned. Initial: \$25,000, 20 years.

Which truck should Jennifer buy based on towing capacity and vehicle weight? Compare:
Truck A: $3,500$ lbs, $2,800$ lbs Truck B: $3,600$ lbs, $4,200$ lbs Truck C: $4,800$ lbs, $3,600$ lbs Truck D: $4,800$ lbs, $4,200$ lbs

Calculate the molar mass of compound $\mathrm{X}_{2} \mathrm{Yy}$ with $X$ (55.13) and $Yy$ (23.50). Round to 2 decimal places.

Calculate the average slope 'k' from the CO $_2$ and white solid data. Use $k = \frac{\Delta y}{\Delta x}$ .

Calculate the molar mass of the compound $A X_{2} R_{3}$ using average atomic masses: A=24.27, D=93.94, R=11.01, X=22.05.

Sky wants a credit card for emergencies. Which fee matters most? A) APR $20.99\%$ B) Grace period 30 days C) Annual fee $\$55$

8. $10 \frac{3}{16}$ $-1 \frac{1}{32}$
9. $3 \frac{7}{12}$ $-\frac{2}{8}$ 10. $\begin{array}{l} 12 \frac{4}{5} \\ -3 \end{array}$
11. $26 \frac{3}{8}$ $-4 \frac{2}{6}$

$y = x + 4$ Complete the table and select the graph that shows this relationship.

Consider the following $y$ -intercept and slope: $(0, -3)$ , $m = 4$
Step 2 of 2: Determine the graph of the line with the given $y$ -intercept and slope.

What is the total amount of money being added to the account in the table of deposits shown below?
Deposits Amount Incoming ACH \$2174.90 Incoming Phone Transfer \$21.78 Incoming App Transfer \$44.83 Check Mobile Deposit \$23.94
Round to the nearest cent. \$[?]

Find a possible formula for the trigonometric function whose values are in the following table.
| x | 0 | 2 | 4 | 6 | 8 | 10 | 12 | |---|---|---|---|---|---|---|---| | y | 2 | -2 | 2 | 6 | 2 | -2 | 2 |
$y =$

$n = 28$ , $p = 0.55$ Mean: $\mu =$ Variance: $\sigma^2 =$ Standard deviation: $\sigma =$ Part 3 of 4

A table of values of a linear function is shown below.
$x$ |-2|0|2|4 ---|---:|---:|---:|---: $y$ |10|4|-2|-8
Find the y-intercept and slope of the function's graph.
y-intercept: 4 slope:

6. The table below give the number of homes (in thousands) build each year in a developing suburb. Find the rate of change between 2004 and 2007 using the table.
Year | Homes (thousands) ---|--- 2004 | 7.1 2005 | 8.4 2006 | 9.2 2007 | 10.3 2008 | 11

4. Caleb is comparing the growth of plants using two different fertilizers.
Group A Group B
1 2 3 4 5 Growth (inches)
Part A Use the measures of center from the box plots to make an inference about the data.

Identify the sequence with constant second differences from these options: $\{-0.5,5,13.5,23\}$ , $\{5,11.5,18.5,24.5\}$ , $\{0.5,5,12.5,23\}$ , $\{5,13.5,23,34.5\}$ .

Construct a polynomial function with zeros at $x=4$ (multiplicity 1) and $x=-2$ (multiplicity 3).

A spinner has 3 yellow, 1 red, and 1 blue slice. After 1000 spins, Jane got 606 yellow, 181 red, 213 blue.
(a) Find the experimental probability of yellow or red. (b) Find the theoretical probability of yellow or red. (c) True statement about experimental vs theoretical probability with more spins?

Fill in the missing amounts for these transactions and account balances:
1. \$200, balance \$200
2. -\$147, balance \$53
3. \$90, balance ?
4. -\$229, balance ?
5. ?, balance \$0

Does the exponential function in the table show growth or decay for $x = -3$ to $x = 3$ ?

Check if each pair $(x, y)$ is a solution to the equation $x = -7$ .

Check if each pair $(x, y)$ is a solution to $7x - 3y = 11$ : $(-1,-6)$ , $(-2,7)$ , $(5,8)$ , $(0,-4)$ .

Estimate sales (in billions) for a company from 2006 to 2014 using models $y=0.08 x+0.12$ and $y=0.92 x-0.2$ . Find residuals.