Set

Problem 1201

1. List all the factors of the number. $14:$ $\qquad$

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Problem 1202

Based only on the analysis result here, what is the true nature of the relationship between English Score and Math Score?
Correlations \begin{tabular}{llr|r} & & EnglishScore & MathScore \\ \hline \multirow{3}{}{ EnglishScore } & Pearson Correlation & 1 & $.294^{}$ \\ \cline { 2 - 4 } & Sig. (2-tailed) & & .029 \\ \cline { 2 - 4 } MathScore & N & 55 & 55 \\ \cline { 2 - 4 } & Pearson Correlation & $.294^{}$ & 1 \\ \hline & Sig. (2-tailed) & .029 & \\ \cline { 2 - 4 } & N & 55 & 55 \\ \hline \end{tabular} . Correlation is significant at the 0.05 level (2-tailed). English ability significantly enhances math test performance. A generally high level of cognitive function enhances both english test scores and the math test scores. It's not possible to know the exact nature of the relationship based when one is only given the results of an analysis. Math ability significantly enhances English test performance.

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Problem 1203

Spiral Review
Represent the set of numbers as decimals on the number line. 4.NF.6
34. $\left\{5 \frac{3}{10}, 5 \frac{1}{10}, 5\right\}$
35. $\left\{3 \frac{1}{10}, 2 \frac{7}{10}, 2 \frac{9}{10}\right\}$

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Problem 1204

An elementary school teacher with 25 students plans to have each of them make a poster about two different states. The teacher first numbers the states 01 to 50), then uses a random number table to decide which states each kid gets. The random digits are 15863019304378721208. a) Which two state numbers does the first student get? b) Which two state numbers go to the second student?

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Problem 1205

Create a stem-and-leaf plot for these data: 9, 8, 6, 15, 14, 11, 13, 16, 19, 22, 35, 25, 32, 34, 28, 31. If no leaves, write "None".

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Problem 1206

Identify the perfect cubes from this list: 144, 1,025, $-1,331$ , -800, $-216$ , 512.

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Problem 1207

In congruent triangles $\triangle ABC$ and $\triangle STR$ , complete $\overline{BC} \cong \_$ . Options: A. $\overline{ST}$ B. $\overline{SR}$ C. $\overline{TR}$ D. $\overline{AC}$

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Problem 1208

Find $(A \cup B)^{\prime} \cap B$ where $U=\{1,2,\ldots,17\}$ , $A=\{9,10,12,13,17\}$ , $B=\{10,11,12,14\}$ .

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Problem 1209

How many different salad variations can be made with lettuce and any combination of green peppers, tomatoes, sunflower seeds, cucumbers, banana peppers, carrots, and mushrooms?

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Problem 1210

Identify sets A and B described by $A=\{x \mid x \in N \text{ and } x>8\}$ and $B=\{x \mid x>8\}$ . Answer a) and b).

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Problem 1211

Define sets A and B: A = {x | x ∈ N and x > 8}, B = {x | x > 8}. Determine descriptions and differences.

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Problem 1212

List all factors of 54.

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Problem 1213

Find the intersection of sets A and B given U, A, and B: $U=\{1,2,3,4,5,6\}$ , $A=\{1,2,3,6\}$ , $B=\{1,2,4\}$ .

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Problem 1214

Find the complement of the intersection of sets A and C. Given $U=\{1,2,3,4,5,6,7,8\}$ , $A=\{1,2,3,4\}$ , $C=\{1,2,3,6,8\}$ .

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Problem 1215

Find the new coordinates of points $A(-4,2)$ , $B(-7,-1)$ , and $C(0,1)$ after reflecting across the $x$ -axis.

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Problem 1216

List these quantum number sets by increasing energy: I. $n=4, I=1, m_{l}=1, m_{s}=+1/2$ II. $n=3, I=2, m_{l}=-1, m_{s}=+1/2$ III. $n=4, I=0, m_{l}=0, m_{s}=+1/2$

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Problem 1217

Create a dot plot for the water intake data of 26 students: 8, 8, 8, 16, 16, 16, 32, 32, 32, 32, 32, 32, 64, 64, 64, 64, 64, 64, 64, 80, 80, 80, 80, 88, 88, 88.

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Problem 1218

Check if the pairs $(-2,5)$ , $(-1,8)$ , $(0,6)$ , $(1,6)$ , $(2,7)$ define $y$ as a function of $x$ .

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Problem 1219

Does the relation define $y$ as a function of $x$ given inputs $x$ : 14, 9, 4, 9, 14 and outputs $y$ : 5, 10, 15, 20, 25?

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Problem 1220

Which pairs represent functions from $A=\{a, b, c\}$ to $B=\{0,1,2,3\}$ ? Select all that apply: $\{(1, a),(0, a),(2, c),(3, b)\}$ $\{(a, 1),(c, 2),(c, 3),(b, 3)\}$ $\{(c, 0),(b, 0),(a, 3)\}$ $\{(a, 1),(b, 2),(c, 3)\}$

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Problem 1221

Find the probability of randomly selecting each type of stamp from a bag containing nine 1¢, four 5¢, eight 10¢, five 21¢, twelve 34¢, and ten 49¢ stamps.

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Problem 1222

Arrange these Dewey decimal numbers: 419.018, 417.97, 418.537, 417.309. Which is the fourth in order?

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Problem 1223

Did Mr. Mack correctly round \$310,000 to the nearest ten thousand for the sale of 350 Flamingo Place? Explain.

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Problem 1224

There are 150 new employees at a tech company. Each group $A, B, C, D, E$ has 30 employees. Find $P(C)=$ probability of choosing an employee from group $C$ .

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Problem 1225

64 college basketball teams are split into 4 regions. Find the sample space size, teams in West ( $W$ ), and $P(W)$ .
Answer: There are $64$ teams in the sample space. There are $16$ teams in the event $W$ . $P(W)=\frac{1}{4}$ .

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Problem 1226

List the quantum numbers in order of increasing energy: I. $n=4, I=1, m_{l}=1, m_{s}=+1/2$ II. $n=3, I=2, m_{l}=-1, m_{s}=+1/2$ III. $n=4, I=0, m_{l}=0, m_{s}=+1/2$ .

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Problem 1227

Three coins are flipped. Count total outcomes, outcomes where the second coin is heads, and find $P(A)$ .

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Problem 1228

List the whole numbers in the set $\{x \mid x \leq 0\}$ .

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Problem 1229

A standard deck has 52 cards. Find the probability of choosing a 7:
Total cards = 52; Cards in event A = 4.
$P(A) = \frac{4}{52}$ .

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Problem 1230

Identify the experiment, trial, and outcome for a lottery where a computer generates numbers 1-100 with 7 numbers per ticket.

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Problem 1231

Select valid heights (in inches) for a bookcase from: A. 63, B. -83, C. 83, D. 10216.

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Problem 1232

Which events include selecting criminal case number 4? Choose all correct options: $C^{\prime}$ , $R$ AND $O$ , $C$ OR $O$ , $C$ AND $O$ .

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Problem 1233

Which events include drawing Blue 1? Select all: $R$ AND $E$ , $R$ AND $O$ , $B$ AND $O$ , $R^{\prime}$ .

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Problem 1234

Which events include drawing the Red 3? Choose all that apply: $R$ AND $O$ , $B$ OR $E$ , $R^{\prime}$ , $E^{\prime}$ , $E$ OR $R$ .

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Problem 1235

Which events include selecting accounting course number 3? Choose all that apply: $F$ , $A$ , $E$ , $O$ .

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Problem 1236

150 new employees are divided into 5 groups (A, B, C, D, E) with 30 each. Find $P(C)$ , the probability of choosing from group C.

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Problem 1237

Find the numbers for women working full-time and having children in a Venn diagram, given $P(A|B) = \frac{5}{27}$ .

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Problem 1238

Find the numbers for a Venn diagram where $P(A|B) = \frac{8}{14}$ , with 32 using transit and 14 owning cars.

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Problem 1239

Find the probability that a student in algebra does not take chemistry, given 40 in algebra, 10 in both, 50 in chemistry, and 100 not in either. Express as a fraction.

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Problem 1240

Find the number of employees in the Venn diagram for Events A (health insurance) and B (retirement plan) with $P(A|B) = \frac{25}{28}$ , 35 with A, and 28 with B.

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Problem 1241

Find the numbers for athletes and musicians in a Venn diagram given $P(A|B) = \frac{7}{15}$ , with 25 athletes and 15 musicians.

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Problem 1242

Identify which example shows a system at equilibrium: A. 2 pizzas in, 5 out. B. 500 vaporize, 500 condense. C. 3 fish in, 5 out.

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Problem 1243

64 college basketball teams are split into 4 regions. Find the total teams, teams in region $W$ , and $P(W)$ .

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Problem 1244

64 college basketball teams are split into 4 regions. Find the total teams, teams in West region, and $P(W)=\square$ .

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Problem 1245

Which events include selecting accounting course number 3? Choose all that apply: A AND $O$ , F OR E, $F$ AND $O$ .

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Problem 1246

A deck has RED cards 1,2 and BLUE cards 1,2,3,4. Which events include drawing Blue 1? Select all that apply: R, B, E, O.

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Problem 1247

A tech company has 150 new employees in groups A, B, C, D, and E with 30 each. Find $P(C)=$ , the probability of selecting someone from group C.

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Problem 1248

Three coins are flipped. Find the total outcomes, outcomes where the second coin is heads, and $P(A)$ for event $A$ .

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Problem 1249

A deck has RED cards 1,2 and BLUE cards 1,2,3. Identify events including drawing a blue card 1.

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Problem 1250

Match the accounting terms with their descriptions: account, analyze transactions, journal, post, trial balance.

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Problem 1251

Record the following transactions: Issue stock for \$21,000, loan \$9,000, buy equipment for \$25,000, advertising \$1,100, services \$18,000. Use accounts: Cash, Accounts Receivable, Equipment, Notes Payable, Common Stock, Service Revenue, Advertising Expense, Salaries Expense.

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Problem 1252

Which events include selecting sprinter 1: $S$ , $D$ , $E$ , or $O$ ? Choose all that apply.

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Problem 1253

Find the numbers for a Venn diagram where $P(A|B) = \frac{5}{15}$ , given 25 regular exercisers and 15 dieters.

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Problem 1254

64 college basketball teams are divided into 4 regions. Find the total teams, teams in West region, and $P(W)$ .

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Problem 1255

Find the probability that a student not playing board games also doesn't play video games. Round to two decimal places.

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Problem 1256

A university surveys 50 undergraduates. Given $P(A \mid B)=\frac{15}{35}$ and $P(B \mid A)=\frac{15}{25}$ , fill in the Venn diagram for events $A$ , $B$ , $A \cap B$ , and neither.

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Problem 1257

Shade the area in a Venn diagram representing the set $(A \cap B) \cup (A \cap C)$ .

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Problem 1258

At Paxton School, 14 played basketball, 9 volleyball, 10 soccer. Find how many played one or more sports.

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Problem 1259

Which angles can form isosceles triangles? Check all that apply. Angles must sum to 180 degrees. a. $24, 24, 50$ b. $32, 32, 116$ c. $79, 79, 22$ d. $21, 53, 106$

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Problem 1260

Determine if the statement "No irrational numbers are real numbers" is True or False.

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Problem 1261

All integers can be expressed as fractions, confirming they are rational numbers.

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Problem 1262

Reginald's quiz scores are $80, 75, 82, 83, 100, 0, 81, 75$ . Which grading method gives him the best overall grade? Select all: discard outliers & report median, report mean, report median, discard outliers & report mean, report mode.

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Problem 1263

Lisetta's new temperature lowers the standard deviation. What can we conclude about today's temperature compared to the previous 10 days?

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Problem 1264

Eileen has a data set with 12 values and a standard deviation of 0. What must be true? Select all that apply.

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Problem 1265

Sandy analyzes teen wages, calculates mean, median, and standard deviation, then compares original and raised by \$2/hr.

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Problem 1266

Identify the number set for $-\sqrt{49}$ using N, W, Z, Q, or T.

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Problem 1267

Find the missing mD1 angles when mD3 is 98° and 165° given previous angle sets.

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Problem 1268

Analyze earnings of famous deceased individuals. Calculate mean, median, mode, midrange, and comment on skewness. Data in millions: Yves Saint Laurent 350, Charles Schulz 35, Rodgers & Hammerstein 235, John Lennon 15, Michael Jackson 90, Dr. Seuss 15, Elvis Presley 55, Albert Einstein 10, JRR Tolkien 50, Jimi Hendrix 8.

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Problem 1269

Quadrilateral ABCD is congruent to HJKL. Complete: $\overline{J K} \cong$ options: a. $\overline{B C}$ , b. $\overline{C B}$ , c. $\overline{H L}$ , d. $\overline{K J}$ .

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Problem 1270

Pentagon ABCDE is congruent to HJKLP. Complete the congruent statements: $\overline{B A} \cong$ (a) $\overline{H P}$ , (b) $\overline{J P}$ , (c) $\overline{J H}$ , (d) $\overline{J K}$ .

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Problem 1271

Pentagons ABCDE and HJKLP are congruent. Complete: $\overline{C D} \cong$ with options: a) $\overline{L P}$ , b) $\overline{A B}$ , c) $\overline{H J}$ , d) $\overline{K L}$ .

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Problem 1272

Which statement is true based on the lowest elevations: New York (0), Colorado (3315), Louisiana (-8), Missouri (230), California (-282)?

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Problem 1273

Survey 89 students on news sources: 30 use websites, 43 social media, 19 both. Create a Venn diagram and find region sizes.

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Problem 1274

Survey 89 students on news sources: 30 from websites, 43 from social media, 19 from both. Find counts for each category.

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Problem 1275

Find $(A \cup B) \cup C$ for sets $A=\{1,2,3,4,5,6,7,8\}$ , $B=\{2,4,6,10,12,14\}$ , and $C=\{5,7,9,11,13,15\}$ .

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Problem 1276

Find a length for the 6th leaf that raises the mean but lowers the median. Options: A) $13.1$ cm B) $13.3$ cm C) $13.4$ cm D) $13.7$ cm.

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Problem 1277

Find the domain and range of the points (2,3), (-2,5), (0,10), (4,-6).

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Problem 1278

Determine if the cost of frozen yogurt is proportional to the weight given weights (12.5, 10, 5, 8) and costs (5, 4, 2, 3.20).

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Problem 1279

Rephrase the argument to fit "all S are P" or "no S are P". Draw a Venn diagram to check validity. Premises: All caves are deep; Little Cavern is a cave. Conclusion: Little Cavern is deep. Identify correct Venn diagram placement for X. Is the argument valid?

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Problem 1280

Finding the conjugate of an acid or base
Fill in the missing chemical formulae in the tables below. \begin{tabular}{|c|c|} \hline acid & conjugate base \\ \hline $\mathrm{NH}_{4}^{+}$ & $\square$ \\ \hline $\mathrm{H}_{2} \mathrm{CO}_{3}$ & $\square$ \\ \hline HI & $\square$ \\ \hline \end{tabular} \begin{tabular}{|c|c|} \hline base & conjugate acid \\ \hline $\mathrm{HPO}_{4}^{2-}$ & $\square$ \\ \hline $\mathrm{H}_{2} \mathrm{PO}_{4}^{-}$ & $\square$ \\ \hline $\mathrm{NH}_{3}$ & $\square$ \\ \hline \end{tabular}

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Problem 1281

Select the tables that show a proportional relatlonship between $x$ and $y$ . \begin{tabular}{|c|c|} \hline $x$ & $y$ \\ \hline 2 & 3 \\ \hline 4 & 6 \\ \hline 12 & 18 \\ \hline \end{tabular} \begin{tabular}{|c|c|} \hline $x$ & $y$ \\ \hline 6 & 3 \\ \hline 12 & 6 \\ \hline 14 & 7 \\ \hline \end{tabular}

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Problem 1282

7. Let $E=\{(x, y, z) \mid x+y+z \leq 1, x \geq 0, y \geq 0, z \geq 0\}$ . Show that $\iiint_{E} e^{z} d V=e-\frac{5}{2}$

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Problem 1283

3. Given the information below, estimate the total distance travelled during these 6 seconds using a left endpoint approximation. \begin{tabular}{|r|r|} \hline time $(\mathbf{s e c})$ & velocity $(\mathrm{ft} / \mathrm{sec})$ \\ \hline 0 & 18 \\ \hline 1 & 32 \\ \hline 2 & 33 \\ \hline 3 & 20 \\ \hline 4 & 5 \\ \hline 5 & 2 \\ \hline 6 & 13 \\ \hline \end{tabular}

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Problem 1284

Use the Venn diagram to determine the number of elements in the following set. $A \cap(B \cup C)$
The number of elements in the set is (Type a whole number.)

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Problem 1285

15.
DETAILS MY NOTES AUFMODMATH1 1.3C.021.
The daily low temperatures, in degrees Fahrenheit, for 9 consecutive summer days in a city, were $62,63,55,62,53,69,57,67$ , and 61 . What was the average low temperature for those 9 days? $\square$ of
Siow My Work

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Problem 1286

\begin{tabular}{|c|c|} \hline acid & conjugate base \\ \hline $\mathrm{H}_{2} \mathrm{SO}_{4}$ & $\square$ \\ \hline $\mathrm{H}_{3} \mathrm{O}^{+}$ & $\square$ \\ \hline $\mathrm{NH}_{4}^{+}$ & $\square$ \\ \hline \end{tabular} \begin{tabular}{|c|c|} \hline base & conjugate acid \\ \hline $\mathrm{NH}_{3}$ & $\square$ \\ \hline $\mathrm{Cl}^{-}$ & $\square$ \\ \hline $\mathrm{OH}^{-}$ & $\square$ \\ \hline \end{tabular}

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Problem 1287

5. For Figures 1-3, answer the questions below.
Figure 1
Figure 2
Figure 3 a. Which of these nets could be folded along the lines to form a closed rectangular box? b. For the figures that form a closed rectangular box, use the unit square shown to help you find the dimensions of the box. c. For the figures that form a closed rectangular box, find the total area, in square units, of all of the faces of the box. d. For the figures that form a closed rectangular box, find the number of unit cubes it would take to fill the box. a. What are the dimensions of the box at the right? b. On centimeter grid paper, sketch two nets for the box. c. Find the area, in square centimeters, of each net. d. Find the total area of all the faces of the box. How does your answer compare with the areas you found in part (c)? Investigation 4 Measuring Surface Area and Volur

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Problem 1288

The properties of several unknown solids were measured. \begin{tabular}{|c|c|c|} \hline Solid & Melting point & Other properties \\ \hline A & $>1000^{\circ} \mathrm{C}$ & does not conduct electricity \\ \hline B & $850^{\circ} \mathrm{C}$ & conducts electricity in the liquid state, but not in the solid state \\ \hline C & $750^{\circ} \mathrm{C}$ & conducts electricity in the solid state \\ \hline D & $150^{\circ} \mathrm{C}$ & does not conduct electricity \\ \hline \end{tabular}
Classify the solids as ionic, molecular, metallic, or covalent. Note that covalent compounds are also known as covalent network solids or macromolecular solids.
Covalent $\square$
Answer Bank
D A C B

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Problem 1289

4. [-/5 Points]
DETAILS MY NOTES
The following table shows the frequency of outcomes when two distinguishable coins were tossed 6,800 times and the uppermost faces were observed. HINT [See Example 2.] \begin{tabular}{|r|c|c|c|c|} \hline Outcome & HH & HT & TH & TT \\ \hline Frequency & 1,800 & 1,650 & 1,900 & 1,450 \\ \hline \end{tabular}
What is the relative frequency that the first coin lands with heads up? (Round your answer to four decimal places.) $\square$

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Problem 1290

Let $\boldsymbol{E}$ be the event where the sum of two rolled dice is less than 10 . List the outcomes in $\boldsymbol{E}^{\boldsymbol{c}}$ .

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Problem 1291

The following table shows the results of a survey of 100 authors by a publishing company. \begin{tabular}{|r|c|c|c|} \hline & New Authors & Established Authors & Total \\ \hline Successful & 4 & 26 & 30 \\ \hline Unsuccessful & 16 & 54 & 70 \\ \hline Total & 20 & 80 & 100 \\ \hline \end{tabular}
Compute the relative frequency of the given event if an author as specified is chosen at random. A successful author is established. $.26$

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Problem 1292

$\mathrm{H}_{2} \quad \mathrm{HI} \quad \mathrm{C}_{2} \mathrm{H}_{5} \mathrm{OH}$ \begin{tabular}{|l|l|l|} \hline \text{Highest boiling point} & & \text{Lowest boiling point} \\ \hline \end{tabular}
The correct ranking cannot be determined.

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Problem 1293

A questionnaire was given to students. The first question asked was "How stressed have you been in the last week on a scale of 0 to 10 with 0 being not stressed at all and 10 being as stressed as possible?" The responses are shown to the right. a. Which stress rating describes the least number of students? $\square$ out of 10 \begin{tabular}{|c|c|} \hline Stress Rating & Frequency \\ \hline 0 & 5 \\ \hline 1 & 4 \\ \hline 2 & 1 \\ \hline 3 & 18 \\ \hline 4 & 14 \\ \hline 5 & 13 \\ \hline 6 & 12 \\ \hline 7 & 35 \\ \hline 8 & 24 \\ \hline 9 & 16 \\ \hline 10 & 16 \\ \hline \end{tabular}

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Problem 1294

The length (in words) of seven articles from a particular newspaper are listed below. Find the mean, median, and mode of the data, if possible. If any of these measures cannot be found or a measure doe not represent the center of the data, explain why.
818 1278 1153 1126 1369 1230 1274 E. There is no median word count.
Find the mode of the word counts. Select the correct choice below and, if necessary, fill in the answer box to complete your choice. A. The mode(s) of the word counts is (are) $\square$ . (Round to one decimal place as needed. Use a comma to separate answers as needed.) B. There is no mode.
Does (Do) the mode(s) represent the center of the data? A. The mode(s) represent(s) the center. B. The mode(s) does (do) not represent the center because it (one) is the largest data value. C. The mode(s) does (do) not represent the center because it (one) is the smallest data value. D. The mode(s) does (do) not represent the center because it (they) is (are) not a data value.

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Problem 1295

There is a spinner with 8 equal areas, numbered 1 through 8 . If the spinner is spun one time, what is the probability that the result is a multiple of 2 and a multiple of 3 ?

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Problem 1296

\textbf{Hendry's Boutique is a retail clothing store for women. The store operates out of a rented building in Storm Lake, Iowa. Shown below is the store's adjusted year-end trial balance dated December 31, 2011.}
\begin{table}[h!] \centering \begin{tabular}{|l|r|r|} \hline \multicolumn{3}{|l|}{\textbf{HENDRY'S BOUTIQUE ADJUSTED TRIAL BALANCE DECEMBER 31, 2011}} \\ \hline \textbf{Account} & \textbf{Debit} & \textbf{Credit} \\ \hline Cash & \$15,200 & \\ \hline Accounts receivable & 2,600 & \\ \hline Merchandise inventory & 17,500 & \\ \hline Prepaid rent & 1,800 & \\ \hline Office supplies & 900 & \\ \hline Office equipment & 41,000 & \\ \hline Accumulated depreciation: office equipment & & \$12,000 \\ \hline Accounts payable & & 12,750 \\ \hline Sales taxes payable & & 3,200 \\ \hline Capital stock & & 18,000 \\ \hline Retained earnings & & 21,050 \\ \hline Sales & & 226,000 \\ \hline Sales returns and allowances & 2,500 & \\ \hline Cost of goods sold & 100,575 & \\ \hline Purchase discounts lost & 250 & \\ \hline Utilities expense & 4,120 & \\ \hline Office supply expense & 520 & \\ \hline Depreciation expense: office equipment & 2,750 & \\ \hline Rent expense & 6,100 & \\ \hline Insurance expense & 900 & \\ \hline Salaries expense & 88,095 & \\ \hline Income taxes expense & 8,190 & \\ \hline \textbf{Total} & \$293,000 & \$293,000 \\ \hline \end{tabular} \end{table}
\textbf{Instructions:} \begin{enumerate} \item[(a)] Prepare an income statement for Hendry's Boutique dated December 31, 2011. \item[(b)] Compute the store's gross profit margin as a percentage of net sales. \end{enumerate}

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Problem 1297

Question 7
Score on last try: 0.3 of 1 pts. See Details for more. Next question You can retry this question below
You are conducting a multinomial Goodness of Fit hypothesis test for the claim that all 5 categories are equally likely to be selected. Complete the table. Report all answers correct to three decimal places. \begin{tabular}{|c|c|c|c|} \hline Category & Observed Frequency & \begin{tabular}{l} Expected \\ Frequency \end{tabular} & $\frac{(O-E)^{2}}{E}$ \\ \hline A & 18 & & \\ \hline B & 24 & & \\ \hline C & 15 & & \\ \hline D & 20 & & \\ \hline E & 12 & & \\ \hline \end{tabular}

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Problem 1298

What is the mean of the following numbers? $2, \quad 4, \quad 9, \quad 5$

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Problem 1299

Given $E=\{x \in I N / 0 \leq x \leq 10\}$ and the following subsets of E : $A=\{1,2,4,8\} \quad B=\{0,1,2,3,5,8\} \text { and } C=\{8,9,10\}$ a) Write $E$ in roster notation (in extension). b) Write A in builder notation (in comprehension). c) Write in extension: \begin{tabular}{|l|l|} \hline $A \cap B$ & \\ \hline $A \cup B$ & \\ \hline $\bar{A}$ & \\ \hline $\bar{B}$ & \\ \hline $\overline{A \cup B}$ & \\ \hline $\overline{A \cap B}$ & \\ \hline $\bar{A} \cap \bar{B}$ & \\ \hline $\bar{A} \cup \bar{B}$ & \\ \hline $A \cup(B \cap C)$ & \\ \hline Note: & \\ \hline \end{tabular} d) Complete by: $\epsilon, \notin, \subset$ and $\not \subset$ . 1) $\{2\}$ $\qquad$ $A \cap B$ ii) 9. $\qquad$ B iii) $A \cup C$ $\qquad$ B iv) ø $\qquad$ A v) $\{1,3\}$ $\qquad$ . $B$
The symbol $\in$ is a relation between element and set. The symbol $\subset$ is a relation between 2 set. e) Draw Venn diagram that shows the elements of the given set. f) find: card (A): $\qquad$ card (B): $\qquad$ card $(A \cup C)$ : $\qquad$ $\operatorname{card}(A \cap B)=$

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Problem 1300

Точка $M$ - середина ребра $A A_{1}$ куба $A B C D A_{1} B_{1} C_{1} D_{1}$ . a) Постройте сечение куба плоскостью $C_{1} D M$ . 6) Найдите площадь сечения куба плоскостью $C_{1} D M$ , если рёбра куба равны 2.

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1 ...10 11 12 13 14 15 16 ...30

Set

Problem 1201

1. List all the factors of the number. 14:14:14: \qquad

Problem 1202

Problem 1203

Spiral ReviewRepresent the set of numbers as decimals on the number line. 4.NF.634. {5310,5110,5}\left\{5 \frac{3}{10}, 5 \frac{1}{10}, 5\right\}{5103​,5101​,5}35. {3110,2710,2910}\left\{3 \frac{1}{10}, 2 \frac{7}{10}, 2 \frac{9}{10}\right\}{3101​,2107​,2109​}

Problem 1204

Problem 1205

Create a stem-and-leaf plot for these data: 9, 8, 6, 15, 14, 11, 13, 16, 19, 22, 35, 25, 32, 34, 28, 31. If no leaves, write "None".

Problem 1206

Identify the perfect cubes from this list: 144, 1,025, −1,331-1,331−1,331, -800, −216-216−216, 512.

Problem 1207

In congruent triangles △ABC\triangle ABC△ABC and △STR\triangle STR△STR, complete BC‾≅_\overline{BC} \cong \_BC≅_. Options: A. ST‾\overline{ST}ST B. SR‾\overline{SR}SR C. TR‾\overline{TR}TR D. AC‾\overline{AC}AC

Problem 1208

Find (A∪B)′∩B(A \cup B)^{\prime} \cap B(A∪B)′∩B where U={1,2,…,17}U=\{1,2,\ldots,17\}U={1,2,…,17}, A={9,10,12,13,17}A=\{9,10,12,13,17\}A={9,10,12,13,17}, B={10,11,12,14}B=\{10,11,12,14\}B={10,11,12,14}.

Problem 1209

How many different salad variations can be made with lettuce and any combination of green peppers, tomatoes, sunflower seeds, cucumbers, banana peppers, carrots, and mushrooms?

Problem 1210

Identify sets A and B described by A={x∣x∈N and x>8}A=\{x \mid x \in N \text{ and } x>8\}A={x∣x∈N and x>8} and B={x∣x>8}B=\{x \mid x>8\}B={x∣x>8}. Answer a) and b).

Problem 1211

Define sets A and B: A = {x | x ∈ N and x > 8}, B = {x | x > 8}. Determine descriptions and differences.

Problem 1212

List all factors of 54.

Problem 1213

Find the intersection of sets A and B given U, A, and B: U={1,2,3,4,5,6}U=\{1,2,3,4,5,6\}U={1,2,3,4,5,6}, A={1,2,3,6}A=\{1,2,3,6\}A={1,2,3,6}, B={1,2,4}B=\{1,2,4\}B={1,2,4}.

Problem 1214

Find the complement of the intersection of sets A and C. Given U={1,2,3,4,5,6,7,8}U=\{1,2,3,4,5,6,7,8\}U={1,2,3,4,5,6,7,8}, A={1,2,3,4}A=\{1,2,3,4\}A={1,2,3,4}, C={1,2,3,6,8}C=\{1,2,3,6,8\}C={1,2,3,6,8}.

Problem 1215

Find the new coordinates of points A(−4,2)A(-4,2)A(−4,2), B(−7,−1)B(-7,-1)B(−7,−1), and C(0,1)C(0,1)C(0,1) after reflecting across the xxx-axis.

Problem 1216

List these quantum number sets by increasing energy: I. n=4,I=1,ml=1,ms=+1/2n=4, I=1, m_{l}=1, m_{s}=+1/2n=4,I=1,ml​=1,ms​=+1/2 II. n=3,I=2,ml=−1,ms=+1/2n=3, I=2, m_{l}=-1, m_{s}=+1/2n=3,I=2,ml​=−1,ms​=+1/2 III. n=4,I=0,ml=0,ms=+1/2n=4, I=0, m_{l}=0, m_{s}=+1/2n=4,I=0,ml​=0,ms​=+1/2

Problem 1217

Create a dot plot for the water intake data of 26 students: 8, 8, 8, 16, 16, 16, 32, 32, 32, 32, 32, 32, 64, 64, 64, 64, 64, 64, 64, 80, 80, 80, 80, 88, 88, 88.

Problem 1218

Check if the pairs (−2,5)(-2,5)(−2,5), (−1,8)(-1,8)(−1,8), (0,6)(0,6)(0,6), (1,6)(1,6)(1,6), (2,7)(2,7)(2,7) define yyy as a function of xxx.

Problem 1219

Does the relation define yyy as a function of xxx given inputs xxx: 14, 9, 4, 9, 14 and outputs yyy: 5, 10, 15, 20, 25?

Problem 1220

Problem 1221

Find the probability of randomly selecting each type of stamp from a bag containing nine 1¢, four 5¢, eight 10¢, five 21¢, twelve 34¢, and ten 49¢ stamps.

Problem 1222

Arrange these Dewey decimal numbers: 419.018, 417.97, 418.537, 417.309. Which is the fourth in order?

Problem 1223

Did Mr. Mack correctly round \$310,000 to the nearest ten thousand for the sale of 350 Flamingo Place? Explain.

Problem 1224

There are 150 new employees at a tech company. Each group A,B,C,D,EA, B, C, D, EA,B,C,D,E has 30 employees. Find P(C)=P(C)=P(C)= probability of choosing an employee from group CCC.

Problem 1225

64 college basketball teams are split into 4 regions. Find the sample space size, teams in West (WWW), and P(W)P(W)P(W). Answer: There are 646464 teams in the sample space. There are 161616 teams in the event WWW. P(W)=14P(W)=\frac{1}{4}P(W)=41​.

Problem 1226

Problem 1227

Three coins are flipped. Count total outcomes, outcomes where the second coin is heads, and find P(A)P(A)P(A).

Problem 1228

List the whole numbers in the set {x∣x≤0}\{x \mid x \leq 0\}{x∣x≤0}.

Problem 1229

A standard deck has 52 cards. Find the probability of choosing a 7: Total cards = 52; Cards in event A = 4. P(A)=452P(A) = \frac{4}{52}P(A)=524​.

Problem 1230

Identify the experiment, trial, and outcome for a lottery where a computer generates numbers 1-100 with 7 numbers per ticket.

Problem 1231

Select valid heights (in inches) for a bookcase from: A. 63, B. -83, C. 83, D. 10216.

Problem 1232

Which events include selecting criminal case number 4? Choose all correct options: C′C^{\prime}C′, RRR AND OOO, CCC OR OOO, CCC AND OOO.

Problem 1233

Which events include drawing Blue 1? Select all: RRR AND EEE, RRR AND OOO, BBB AND OOO, R′R^{\prime}R′.

Problem 1234

Which events include drawing the Red 3? Choose all that apply: RRR AND OOO, BBB OR EEE, R′R^{\prime}R′, E′E^{\prime}E′, EEE OR RRR.

Problem 1235

Which events include selecting accounting course number 3? Choose all that apply: FFF, AAA, EEE, OOO.

Problem 1236

150 new employees are divided into 5 groups (A, B, C, D, E) with 30 each. Find P(C)P(C)P(C), the probability of choosing from group C.

Problem 1237

Find the numbers for women working full-time and having children in a Venn diagram, given P(A∣B)=527P(A|B) = \frac{5}{27}P(A∣B)=275​.

Problem 1238

Find the numbers for a Venn diagram where P(A∣B)=814P(A|B) = \frac{8}{14}P(A∣B)=148​, with 32 using transit and 14 owning cars.

Problem 1239

Find the probability that a student in algebra does not take chemistry, given 40 in algebra, 10 in both, 50 in chemistry, and 100 not in either. Express as a fraction.

Problem 1240

Find the number of employees in the Venn diagram for Events A (health insurance) and B (retirement plan) with P(A∣B)=2528P(A|B) = \frac{25}{28}P(A∣B)=2825​, 35 with A, and 28 with B.

Problem 1241

Find the numbers for athletes and musicians in a Venn diagram given P(A∣B)=715P(A|B) = \frac{7}{15}P(A∣B)=157​, with 25 athletes and 15 musicians.

Problem 1242

1. List all the factors of the number. $14:$ $\qquad$

Spiral Review
Represent the set of numbers as decimals on the number line. 4.NF.6
34. $\left\{5 \frac{3}{10}, 5 \frac{1}{10}, 5\right\}$
35. $\left\{3 \frac{1}{10}, 2 \frac{7}{10}, 2 \frac{9}{10}\right\}$

Identify the perfect cubes from this list: 144, 1,025, $-1,331$ , -800, $-216$ , 512.

In congruent triangles $\triangle ABC$ and $\triangle STR$ , complete $\overline{BC} \cong \_$ . Options: A. $\overline{ST}$ B. $\overline{SR}$ C. $\overline{TR}$ D. $\overline{AC}$

Find $(A \cup B)^{\prime} \cap B$ where $U=\{1,2,\ldots,17\}$ , $A=\{9,10,12,13,17\}$ , $B=\{10,11,12,14\}$ .

Identify sets A and B described by $A=\{x \mid x \in N \text{ and } x>8\}$ and $B=\{x \mid x>8\}$ . Answer a) and b).

Find the intersection of sets A and B given U, A, and B: $U=\{1,2,3,4,5,6\}$ , $A=\{1,2,3,6\}$ , $B=\{1,2,4\}$ .

Find the complement of the intersection of sets A and C. Given $U=\{1,2,3,4,5,6,7,8\}$ , $A=\{1,2,3,4\}$ , $C=\{1,2,3,6,8\}$ .

Find the new coordinates of points $A(-4,2)$ , $B(-7,-1)$ , and $C(0,1)$ after reflecting across the $x$ -axis.

List these quantum number sets by increasing energy: I. $n=4, I=1, m_{l}=1, m_{s}=+1/2$ II. $n=3, I=2, m_{l}=-1, m_{s}=+1/2$ III. $n=4, I=0, m_{l}=0, m_{s}=+1/2$

Check if the pairs $(-2,5)$ , $(-1,8)$ , $(0,6)$ , $(1,6)$ , $(2,7)$ define $y$ as a function of $x$ .

Does the relation define $y$ as a function of $x$ given inputs $x$ : 14, 9, 4, 9, 14 and outputs $y$ : 5, 10, 15, 20, 25?

There are 150 new employees at a tech company. Each group $A, B, C, D, E$ has 30 employees. Find $P(C)=$ probability of choosing an employee from group $C$ .

64 college basketball teams are split into 4 regions. Find the sample space size, teams in West ( $W$ ), and $P(W)$ .
Answer: There are $64$ teams in the sample space. There are $16$ teams in the event $W$ . $P(W)=\frac{1}{4}$ .

Three coins are flipped. Count total outcomes, outcomes where the second coin is heads, and find $P(A)$ .

List the whole numbers in the set $\{x \mid x \leq 0\}$ .

A standard deck has 52 cards. Find the probability of choosing a 7:
Total cards = 52; Cards in event A = 4.
$P(A) = \frac{4}{52}$ .

Which events include selecting criminal case number 4? Choose all correct options: $C^{\prime}$ , $R$ AND $O$ , $C$ OR $O$ , $C$ AND $O$ .

Which events include drawing Blue 1? Select all: $R$ AND $E$ , $R$ AND $O$ , $B$ AND $O$ , $R^{\prime}$ .

Which events include drawing the Red 3? Choose all that apply: $R$ AND $O$ , $B$ OR $E$ , $R^{\prime}$ , $E^{\prime}$ , $E$ OR $R$ .

Which events include selecting accounting course number 3? Choose all that apply: $F$ , $A$ , $E$ , $O$ .

150 new employees are divided into 5 groups (A, B, C, D, E) with 30 each. Find $P(C)$ , the probability of choosing from group C.

Find the numbers for women working full-time and having children in a Venn diagram, given $P(A|B) = \frac{5}{27}$ .

Find the numbers for a Venn diagram where $P(A|B) = \frac{8}{14}$ , with 32 using transit and 14 owning cars.

Find the number of employees in the Venn diagram for Events A (health insurance) and B (retirement plan) with $P(A|B) = \frac{25}{28}$ , 35 with A, and 28 with B.

Find the numbers for athletes and musicians in a Venn diagram given $P(A|B) = \frac{7}{15}$ , with 25 athletes and 15 musicians.

64 college basketball teams are split into 4 regions. Find the total teams, teams in region $W$ , and $P(W)$ .

64 college basketball teams are split into 4 regions. Find the total teams, teams in West region, and $P(W)=\square$ .

Which events include selecting accounting course number 3? Choose all that apply: A AND $O$ , F OR E, $F$ AND $O$ .

A tech company has 150 new employees in groups A, B, C, D, and E with 30 each. Find $P(C)=$ , the probability of selecting someone from group C.

Three coins are flipped. Find the total outcomes, outcomes where the second coin is heads, and $P(A)$ for event $A$ .

Which events include selecting sprinter 1: $S$ , $D$ , $E$ , or $O$ ? Choose all that apply.

Find the numbers for a Venn diagram where $P(A|B) = \frac{5}{15}$ , given 25 regular exercisers and 15 dieters.

64 college basketball teams are divided into 4 regions. Find the total teams, teams in West region, and $P(W)$ .

A university surveys 50 undergraduates. Given $P(A \mid B)=\frac{15}{35}$ and $P(B \mid A)=\frac{15}{25}$ , fill in the Venn diagram for events $A$ , $B$ , $A \cap B$ , and neither.

Shade the area in a Venn diagram representing the set $(A \cap B) \cup (A \cap C)$ .

Which angles can form isosceles triangles? Check all that apply. Angles must sum to 180 degrees. a. $24, 24, 50$ b. $32, 32, 116$ c. $79, 79, 22$ d. $21, 53, 106$

Reginald's quiz scores are $80, 75, 82, 83, 100, 0, 81, 75$ . Which grading method gives him the best overall grade? Select all: discard outliers & report median, report mean, report median, discard outliers & report mean, report mode.

Identify the number set for $-\sqrt{49}$ using N, W, Z, Q, or T.

Quadrilateral ABCD is congruent to HJKL. Complete: $\overline{J K} \cong$ options: a. $\overline{B C}$ , b. $\overline{C B}$ , c. $\overline{H L}$ , d. $\overline{K J}$ .

Pentagon ABCDE is congruent to HJKLP. Complete the congruent statements: $\overline{B A} \cong$ (a) $\overline{H P}$ , (b) $\overline{J P}$ , (c) $\overline{J H}$ , (d) $\overline{J K}$ .

Pentagons ABCDE and HJKLP are congruent. Complete: $\overline{C D} \cong$ with options: a) $\overline{L P}$ , b) $\overline{A B}$ , c) $\overline{H J}$ , d) $\overline{K L}$ .