Data & Statistics

Problem 2801

(a) Kenworth Electrical specialises in wiring new houses.
The monthly wages of all Kenworth Electrical employees are summarised in the frequency table below. \begin{tabular}{|c|c|} \hline Monthly wage, $£ x$ & Frequency \\ \hline $1800 \leqslant x<2000$ & 64 \\ \hline $2000 \leqslant x<2100$ & 50 \\ \hline $2100 \leqslant x<2400$ & 2 \\ \hline $2400 \leqslant x<5800$ & 0 \\ \hline $5800 \leqslant x<7800$ & 4 \\ \hline \end{tabular} i) Estimate the mean ii) Which group contains the median iii) Write down the modal group

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Problem 2802

In a study of 789 randomly selected medical malpractice lawsuits, it was found that 484 of them were dropped or dismissed. Use a 0.05 significance level to test the claim that most medical malpractice lawsuits are dropped or dismissed.
Which of the following is the hypothesis test to be conducted? A. $\mathrm{H}_{0}: \mathrm{p}=0.5$ B. $H_{0}: p>0.5$ $H_{1}: p \neq 0.5$ $H_{1}: p=0.5$ C. $H_{0}: p \neq 0.5$ D. $H_{0}: p<0.5$ $H_{1}: p=0.5$ $H_{1}: p=0.5$ E. $H_{0}: p=0.5$ F. $\mathrm{H}_{0}: \mathrm{p}=0.5$ $H_{1}: p>0.5$ $H_{1}: p<0.5$
What is the test statistic? $z=6.37$ (Round to two decimal places as needed.) What is the P -value? P -value $=$ $\square$ (Round to three decimal places as needed.)

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Problem 2803

Points: 0 of 1
A poll of 1137 Americans showed that $46.8 \%$ of the respondents prefer to watch the news rather than read or listen to it. Use those results with a 0.05 significance level to test the claim that fewer than half of Americans prefer to watch the news rather than read or listen to it. Use the P-value method. Use the normal distribution as an approximation to the binomial distribution.
Let p denote the population proportion of all Americans who prefer to watch the news rather than read or listen to it. Identify the null and alternative hypotheses. $\begin{array}{l|l} \mathrm{H}_{0}: \mathrm{p} & \mathbf{V} \\ \mathrm{H}_{1}: \mathrm{p} & \mathbf{7} \\ \hline \end{array}$ (Type integers or decimals. Do not round.)

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Problem 2804

1 2 3 4 5 6 7 8 (9) (10)
The histogram shown represents the distribution of salaries, in thousands of dollars, for 28 players on a professional soccer team. Which of the following explains whether the mean or the median of the data is the more reasonable estimate of the typical salary of a player on the team?
A Since the distribution is symmetric, the mean and the median are equally accurate estimates of the typical salary.
B The mean is a more accurate estimate of the typical salary than the median because it is not as affected by outliers.
C The median is a more accurate estimate of the typical salary than the mean because it is not as affected by outliers.
D Since the distribution is skewed, neither the mean nor the median can be used to estimate the typical salary.

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Problem 2805

Part 1 of 4 Points: 0 of 1 Save
A poll of 1130 teens aged 13 to 17 showed that $53 \%$ of them have made new friends online. Use a 0.01 significance level to test the claim that half of all teens have made new friends online. Use the P -value method. Use the normal distribution as an approximation to the binomial distribution.
Let $p$ denote the population proportion of all teens aged 13 to 17 who have made new friends online. Identify the null and alternative hypotheses. $\begin{array}{l|l} \mathrm{H}_{0}: \mathrm{p} & \mathbf{Y} \\ \mathrm{H}_{1}: \mathrm{p} & \mathbf{Y} \\ \square \end{array}$ (Type integers or decimals. Do not round.)

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Problem 2806

Part 1 of 2
The table shows the maximum recommended viewing dstances $y$ , in feet, for an HDNV with screen size $x$ , in inches. What trend line models the data shown in the table? What doees the slope of the trend line represenc? \begin{tabular}{|c|c|c|c|c|c|} \hline x & 40 & 43 & 50 & 55 & 60 \\ \hline $y$ & 8.3 & 9 & 10.4 & 11.5 & 125 \\ \hline \end{tabular}
Which of the following is an equation of a trend line that models the data? A. $y=-0.2 x-0.5$ B. $y=0.2 x$ C. $y=0.5$ D. $y=0.2 x-0.5$ E. $y=-0.5$ F. $y=-0.2 x$ G. $y=-0.2 x+0.5$ H. $y=0.2 x+0.5$ Video Textbook Get more help - Clear all Check answer Review Progress

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Problem 2807

Points scored in basketball
If there were 168 points scored overall, how many of them were scored by Leslie?

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Problem 2808

Students who graduate from Trevino University can receive Latin honours if they excelled in their studies. 22 Time elapsed 00 36 47 HR MIN SEC SmartScore out of $100 ?$ 73
If 80 graduates received honours in all, how many more graduates were summa cum laude than magna cum laude?

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Problem 2809

Guidelines for the amount of supplementary nitrogen needed to grow winter wheat depend on the amount of nitrogen in the soil (as determined by a soil test), the price of fertilizer, and the price of wheat at harvest. Suppose the soil on a particular farm has a nitrogen content of 2 ppm (parts per million) and 50 acres will be planted in winter wheat. Consider two pricing scenarios.
Case A: The price of fertilizer is $\$ 0.20 / \mathrm{lb}$ , the price of wheat is $\$ 3.50 / \mathrm{bushel}$ , and the expected yield is 60 bushels/acre. Case B: The price of fertilizer is $\$ 0.45 / \mathrm{lb}$ , the price of wheat is $\$ 5.50 /$ bushel, and the expected yield is 40 bushels/acre. In Case A, the guidelines recommend adding 90 pounds of nitrogen per acre, and in Case B, 70 pounds of nitrogen per acre. Assuming all other factors are equal, comput and compare the net profits (income minus expenses) for the two scenarios.
Select the correct choice below and fill in the answer box(es) to complete your choice. (Round to the nearest whole number as needed.) A. The net profit of Case $A$ is $\$$ $\square$ which is less than the net profit of $\$$ $\square$ in Case B. B. The net profit of Case A is $\$$ $\qquad$ which is the same as the net profit in Case B. C. The net profit of Case A is $\$$ $\square$ which is greater than the net profit of $\$$ $\square$ in Case B.

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Problem 2810

Video
A jeweller in Princeton examined which metals her customers selected for wedding bands last year.
Wedding ring preference
If there were 480 rings in total, how many more rings were silver than platinum? $\square$ rings

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Problem 2811

A free throw shooter has an average of making $68 \%$ of his free throws. If he throws 50 practice free throws. (HINT: use the binomlaldist function in the calculator) What is the probability that he will make between 25 and 40 of the shots? type your answer.
What is the probability that he will make at least 40 shots? type your answer_
What is the probability that he will make 30 of the shots? type your answer-

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Problem 2812

Residents of Benton County were asked to report their favourite pets. answered
Favourite pets Time elapsed 00 48 46 HR MIN SEC SmartScore out of 100 ? 90 1 III
If 40 people were surveyed, how many people voted for rabbits? $\square$ people

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Problem 2813

Video
Four friends went on a road trip and kept track of how long each of them spent driving. Road trip driving times
The friends spent a total of 840 minutes driving. How much longer did Emilia spend driving than Camille?

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Problem 2814

A sample tested the claim that heights of men and heights of women have difference variances, with $\mathrm{s}=7.47394 \mathrm{~cm}$ for women and 7.11392 cm for men. The sample sizes are $n_{1}=142$ and $n_{2}=157$ . When using the $F$ test with these data, is it correct to reason that there is no need to check for normality because $n_{1}>30$ and $n_{2}>30$ ?
Choose the correct answer below. A. Yes. The F test has a requirement that samples be from normally distributed populations, but this requirement can be ignored for large samples ( $n_{1}$ and $n_{2}$ greater than 30). B. No. The F test has a requirement that samples be from normally distributed populations, regardless of how large the samples are. C. No. There is no need to check for normality regardless of the sample size. There is no normality requirement for the F test. D. No. There is no need to check for normality as long as $n_{1} \geq 10$ and $n_{2} \geq 10$ .

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Problem 2815

a) What number is missing from the frequency column for history? b) Draw the tally to show the number of people who chose English.
Favourite subject \begin{tabular}{|c|c|c|} \hline Subject & Tally & Frequency \\ \hline History & H H H III & \\ \hline Geography & H ||||| & 9 \\ \hline English & & 12 \\ \hline \end{tabular}

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Problem 2816

A sample of 400 adults were surveyed on their health. 89 of those studied have high blood pressure, yet 112 of those studied reported being unwilling to change their diet. Based on this sample, if an adult is chosen at random, what is the probability that he or she is open to trying to eat more healthfully? Express your answer as a fraction in lowest terms or a decimal rounded to the nearest millionth.

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Problem 2817

Correct
Carter has 213 songs on a playlist. He's categorized them in the following manner: 11 gospel, 28 pop, 36 rock, 19 classical, 23 country, 43 folk, and 53 jazz. If Carter begins listening to his playlist on shuffle, what is the probability that the first song played is a pop song? Express your answer as a fraction in lowest terms or a decimal rounded to the nearest millionth.

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Problem 2818

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 2819

(a) $H_{0}: \mu=16, H_{a}: \mu=16$ This pair complies. This pair does not comply because $\mu$ is not a population characteristic. This pair does not comply because both hypotheses use an equal sign. This pair does not comply because the two hypotheses use different numbers. (b) $H_{0}: p=0.5, H_{a}: p>0.6$ This pair complies. This pair does not comply because $p$ is not a population characteristic. This pair does not comply because both hypotheses use an equal sign. This pair does not comply because the two hypotheses use different numbers.

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Problem 2820

```latex The accompanying table lists distances (mm) between pupils of randomly selected U.S. Army personnel collected as part of a large reputable study. Results from two-way analysis of variance. Use the displayed results and use a 0.05 significance level. What do you conclude?
Click the icon to view the data and two-way analysis of variance results.
D. Fail to reject $\mathrm{H}_{0}$ . There is insufficient evidence to support the alternative hypothesis. There does not appear to be an interaction between gender and handedness.
If appropriate, test for an effect from the row factor. Choose the correct answer below.
A. $\mathrm{H}_{0}$ : Left-handed people and right-handed people have the same population mean distance between pupils. $\mathrm{H}_{1}$ : Left-handed people and right-handed people have different population mean distances between pupils.
B. $\mathrm{H}_{0}$ : Men and women have different population mean distances between pupils. $H_{1}$ : Men and women have the same population mean distance between pupils.
C. $\mathrm{H}_{0}$ : Left-handed people and right-handed people have different population mean distances between pupils. $\mathrm{H}_{1}$ : Left-handed people and right-handed people have the same population mean distance between pupils.
D. $\mathrm{H}_{0}$ : Men and women have the same population mean distance between pupils. $\mathrm{H}_{1}$ : Men and women have different population mean distances between pupils.
E. This test is not appropriate due to the results of the test for interaction between the two factors.
The user took a picture with their phone and the text was extracted above. The user then had a dialogue with an AI Assistant to help clarify the instructions.
Dialogue Transcript:
Hello! It looks like you have a two-way analysis of variance (ANOVA) problem here involving gender and handedness as factors. However, I need a bit more information to assist you properly. Could you please provide the specific results from the two-way ANOVA, such as the p-values for the main effects and interactions? Additionally, let me know if there is anything else specific you'd like help with regarding this problem.
Feel free to type out any important details that might help me understand the context better!
Extracted text from attached image:
Data and Two-Way ANOVA Results
\begin{tabular}{l|c|c} \hline & \text{Right-Handed} & \text{Left-Handed} \\ \hline \text{Female} & 6663596056 & 7162616962 \\ \hline \text{Male} & 6764666971 & 6767656864 \\ \hline \end{tabular}
\begin{tabular}{|lllllll|} \hline \text{Source:} & \text{DF:} & \text{SS:} & \text{MS:} & \text{Test Stat, F:} & \text{Critical F:} & \text{P-Value:} \\ \text{Interaction:} & 1 & 36.45 & 36.45 & 3.15584 & 4.49401 & 0.09467 \\ \text{Row Variable:} & 1 & 76.05 & 76.05 & 6.58442 & 4.49401 & 0.02072 \\ \text{Column Variable:} & 1 & 11.25 & 11.25 & 0.97403 & 4.49401 & 0.33837 \\ \hline \end{tabular} ```

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Problem 2821

\begin{tabular}{|l|l|l|} \hline & Adults & Children \\ \hline Dayl & 310 & 720 \\ \hline Day2 & 720 & 130 \\ \hline Day3 & 120 & 170 \\ \hline Day4 & 210 & 211 \\ \hline \end{tabular}
The table above shows the number of tickets sc during four days as shown above, adult ticket costs $12 \$$ , Child ticket cost 7.5 . What is the tot amount during the four days?

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Problem 2822

A dice game involves rolling 2 dice. If you roll a $2,3,4,10,11$ , or 12 you win $\$ 5$ . If you roll a $5,6,7,8$ , or 9 you lose $\$ 5$ . Find the expected value you win (or lose) per game.
What is the expected value of this game? \\square$ type your answer.(include the negative if needed here)
Is this a fair game? $\square$ type your answer...

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Problem 2823

In Exercises 7 and 8, make a scatter plot of the data. Then describe the relationship between the data. 7. \begin{tabular}{|c|c|c|c|c|c|c|c|c|} \hline $x$ & 3.1 & 2.2 & 2.5 & 3.7 & 3.9 & 1.5 & 2.7 & 2.0 \\ \hline $y$ & 1 & 0 & 1 & 2 & 0 & 2 & 3 & 2 \\ \hline \end{tabular} 8. \begin{tabular}{|c|c|c|c|c|c|c|c|c|} \hline $x$ & 3 & 4 & 5 & 6 & 7 & 8 & 9 & 10 \\ \hline $y$ & 67 & 67 & 50 & 33 & 25 & 21 & 19 & 4 \\ \hline \end{tabular}

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Problem 2824

A large data set includes samples of body temperatures. Analyzing one sample of body temperatures results in $n=103, \bar{x}=98.19^{\circ} \mathrm{F}$ , and $\mathrm{s}=0.617^{\circ} \mathrm{F}$ . It is commonly believed that humans have a mean body temperature of $98.6^{\circ} \mathrm{F}$ . If the analysis is repeated with a different sample and it is found that for 100 randomly generated samples, 38 of these generated samples have a mean that is as extreme as the mean of the actual sample, what should be concluded about the assumed mean of $98.6^{\circ} \mathrm{F}$ ? (Assume that an event is significant if it has a probability of 0.05 or less.)
Since 38 of the 100 samples have means that are as much as the sample mean, then that sample mean $\square$ so there $\square$ strong evidence against the assumed mean of $98.6^{\circ} \mathrm{F}$ . It appears the population mean $\square$ $98.6^{\circ} \mathrm{F}$

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Problem 2825

2 From January to September, the mean number of car accidents in a city per month was 420. From October to December, the mean was 740 accidents per month. Find the mean number of car accidents per month for the whole year.

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Problem 2826

Are the snow conditions a factor in the number of visitors at a ski resort? The table below shows data that was collected. \begin{tabular}{|c|c|c|} \hline Hard Packed & Machine Made & Powder \\ \hline 1368 & 1804 & 1840 \\ \hline 1347 & 1552 & 1945 \\ \hline 2099 & 1676 & 1834 \\ \hline 2010 & 1945 & 1924 \\ \hline 2108 & 1810 & 2132 \\ \hline 1884 & 1571 & 1884 \\ \hline 1693 & 1534 & 1904 \\ \hline 1243 & 1006 & 1828 \\ \hline 2308 & & 2828 \\ \hline \end{tabular}
Assume that all distributions are normal, the three population standard deviations are all the same, and the data was collected independently and randomly. Use a level of significance of $\alpha=0.05$ . $H_{0}: \mu_{1}=\mu_{2}=\mu_{3}$ $H_{1}$ : At least two of the means differ from each other.
1. For this study, we should use Select an answer $\square$
2. The test-statistic for this data = $\square$ (Please show your answer to 3 decimal places.)
3. The $p$ -value for this sample $=$ $\square$ (Please show your answer to 4 decimal places.)
4. The $p$ -value is Select an answer $\square$ $\alpha$
5. Base on this, we should
Select an answer sion is that...
6. As such, the final conclusion is that... (0) hypothesis There is sufficient evidence to support the claim that snow conditions is a factor in the number of visitors at a ski resort. There is insufficient evidence to support the claim that snow conditions is a factor in the number of visitors at a ski resort.

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Problem 2827

|Dete fersiat 1 NHats
19 Buying Granola page 1 of? Gramela crus sof for 3 promils. \begin{tabular}{|c|c|c|c|c|c|c|c|c|} \hline \multirow[t]{3}{}{ex} & \multirow[t]{3}{}{\begin{tabular}{l} Price \\ Nounds \end{tabular}} & & & 120 & \multirow[t]{3}{}{11} & \multicolumn{3}{|r|}{\multirow[t]{3}{}{41320}} \\ \hline & & So & $\$ 12$ & & & & & \\ \hline & & 5 & 10 & I & & & & \\ \hline \end{tabular} \begin{tabular}{|l|l|l|l|l|l|l|} \hline Price & 56 & & & & \\ \hline Pounds & 5 & & & & & \\ \hline \end{tabular} \begin{tabular}{|l|l|l|l|l|l|l|} \hline Price & $\$ 6$ & & & & \\ \hline Pounds & 5 & & & & & \\ \hline \end{tabular} $\qquad$ pounds cost $\qquad$ \begin{tabular}{|l|l|l|l|l|l|l|} \hline Price & 56 & & & & & \\ \hline Pounds & 5 & & & & & \\ \hline \end{tabular} $\qquad$ pounds cost $\qquad$ \begin{tabular}{|l|l|l|l|l|l|l|l|} \hline Price & $\$ 6$ & & & & \\ \hline Pounds & 5 & & & & & \\ \hline \end{tabular} $\qquad$ pounds cost $\qquad$ - \begin{tabular}{|l|l|l|l|l|l|l|} \hline Price & $\$ 6$ & & & & & \\ \hline Pounds & 5 & & & & & \\ \hline \end{tabular} pounds cost $\qquad$ Price Pour Bridges in Mathematics Grade 5 Student Book (continued on next page) (mathesmangenterorg

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Problem 2828

4 My IXL Learning Assessment Analytics grade X. 2 Write equations for proportional relationships from tables S69
Maria is crocheting a scarf as a birthday present for her sister. She started the scarf yesterday and needs to finish it today before her sister's birthday party.
This table shows the relationship between the amount of time (in minutes) Maria spends crocheting today, $x$ , and the total length of the scarf (in inches), $y$ . \begin{tabular}{|c|c|} \hline $x$ (minutes) & $y$ (inches) \\ \hline 15 & 14 \\ \hline 20 & 17 \\ \hline 35 & 26 \\ \hline 90 & 59 \\ \hline \end{tabular}
According to the values in the table, do $x$ and $y$ have a proportional relationship? yes no Submit Work it out

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Problem 2829

The following excel screenshot presents calculating the average profit (from 20 replications) of a supplier. Thie monthly demand follows a normal distribution with mean 50 and standard deviation 5 . The order quantify of any month is equal to the demand quantity from the previous month. \begin{tabular}{|c|c|c|c|c|c|c|c|c|c|} \hline , & A & B & C & D & E & F & G & H & I \\ \hline 1 & \multicolumn{2}{|l|}{Simulation: Order Quatity} & & & & & & & \\ \hline 2 & & & & & & & & & \\ \hline 3 & Month & Demand & Order & Pruchase Cost & Cost of Unsatisfied Demand & Cost of Unsold Units & Item Sold & Revenue & Profit \\ \hline 4 & 1 & 53 & 41 & \123.00 & \$24.00 & \$12.00 & 41 & \$205.00 & \ $46.00$ \\ \hline 5 & 2 & 58 & 53 & $\$ 159.00$ & \10.00 & \ $5.00$ & 53 & \265.00 & \ $91.00$ \\ \hline 6 & 3 & 52 & 58 & \174.00 & \ $0.00$ & $\$ 0.00$ & 52 & $\$ 260.00$ & $\$ 86.00$ \\ \hline 7 & 4 & 48 & ? & \156.00 & \ $0.00$ & $\$ 0.00$ & 48 & $\$ 240.00$ & $\$ 84.00$ \\ \hline 8 & 5 & 42 & 48 & $\$ 144.00$ & $\$ 0.00$ & $\$ 0.00$ & 42 & \210.00 & \ $66.00$ \\ \hline 9 & 6 & 50 & 42 & \126.00 & \$16.00 & \$8.00 & 42 & \$210.00 & \$60.00 \\ \hline 10 & & & & & & & & Total & \$433.00 \\ \hline \end{tabular} \left|\right.\begin{tabular}{|l|c|} \hline Unit Revenue & \ $5.00$ \\ \hline Unit Cost & $\$ 3.00$ \\ \hline Cost of Unsatifled Demand & $\$ 2.00$ \\ \hline Cost of Unsold Unit & $\$ 1.00$ \\ \hline \multicolumn{2}{|l|}{} \\ \hline \end{tabular} $|$ \begin{tabular}{l|c|} \hline Demand Distribution \\ \hline Mean & 50 \\ \hline Standard Deviation & 5 \\ \hline Last Month's Demand & 41 \\ \hline \end{tabular} \begin{tabular}{|l|r|} \hline Average Profit (one Replication) & 433 \\ \hline \multicolumn{2}{|c|}{} \\ \hline Average Profit (20 Replications) & 440.2 \\ \hline \end{tabular} \begin{tabular}{|c|r|} \hline \multicolumn{1}{|l|}{ Data Table } & \\ \hline Replication & Profit \\ \hline 1 & 433 \\ \hline 2 & 451 \\ \hline 3 & 460 \\ \hline 4 & 436 \\ \hline 5 & 474 \\ \hline 6 & 494 \\ \hline 7 & 338 \\ \hline 8 & 546 \\ \hline 9 & 452 \\ \hline 10 & 431 \\ \hline 11 & 505 \\ \hline 12 & 508 \\ \hline 13 & 413 \\ \hline 14 & 467 \\ \hline 15 & 430 \\ \hline 16 & 378 \\ \hline 17 & 409 \\ \hline 18 & 388 \\ \hline 19 & 341 \\ \hline 20 & 450 \\ \hline \end{tabular}
What is the number of 'Order' for Month 4 (i.e., the value in cell C7, indicated by the red box)? 42 52 53 48

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Problem 2830

1. The table shows the relationship between the fee for an overdue library book and the number of days it is past due.
Is this a proportional relationship? Show and explain why or why not. \begin{tabular}{|c|c|} \hline Mays & Fee \\ \hline 1 & 3 \\ \hline 2 & 6 \\ \hline 1 & 9 \\ \hline 8 & 24 \\ \hline \end{tabular}

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Problem 2831

\begin{tabular}{|l|l|l|l|l|} \hline Distance (M) & Time (s) & & & Average Speed \\ \cline { 2 - 5 } & Irial 1 & Irial2 & Irial3 & \\ \hline 100 & 11.6 & 11.2 & 11.8 & \\ \hline \end{tabular}
If the runner ran the same speed how long would it take them to run 250 m ? 28.1 s 28.7 s 29.1 s 29.4 s

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Problem 2832

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 2833

Given the function $q(x)$ with values: $q(1)=-10$ , $q(3)=-6$ , $q(5)=-3$ , $q(7)=-1$ , $q(9)=0$ . Is it concave up, down, or neither?

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Problem 2834

Find the average velocity of an object from $2 \leq t \leq 4$ and from $1 \leq t \leq 5$ using $y=s(t)$ data.

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Problem 2835

Find $x$ when $y=29$ and $y$ when $x=8$ based on the pattern in $Y = 3X + 2$ .

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Problem 2836

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 2837

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 2838

Find the probability of randomly selecting each type of fruit from a basket with 8 apples, 4 oranges, 3 bananas, 6 plums, and 11 nectarines.

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Problem 2839

Sally reads a 50-page book. Find the probabilities of landing on a specific page, odd/even pages, first, and last pages.

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Problem 2840

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 2841

Calculate the average mass of silver isotopes: ${ }^{107} \mathrm{Ag}$ (106.90509 amu, 51.84\%) and ${ }^{109} \mathrm{Ag}$ (108.905 amu, 48.16\%).

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Problem 2842

A bacteria population grows in a broth at $30^{\circ}$ $\mathrm{C}$ . Given data, find average rates of change for specific time intervals.
(a) From 0 to 4.5 hours: $P(4.5) - P(0) / (4.5 - 0)$ .
(b) From 6.5 to 8 hours: $P(8) - P(6.5) / (8 - 6.5)$ .

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Problem 2843

A strain of bacteria grows in broth at $30^{\circ}$ C. Find the average rate of change of population $P(t)$ from $t=0$ to $t=4.5$ hours. Round to 3 decimal places.

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Problem 2844

Find the average mass of pennies with $12\%$ from San Francisco ( $2.2 \mathrm{~g}$ ) and $88\%$ from Philly ( $2.156 \mathrm{~g}$ ).

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Problem 2845

Find the average mass of pennies given that $10.00\%$ weigh $2.15 \mathrm{~g}$ and $90.00\%$ weigh $2.156 \mathrm{~g}$ .

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Problem 2846

A car dealership finds a new car model has a transmission issue $15\%$ of the time. What is the probability of this issue?

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Problem 2847

At a university, $50\%$ of students play intramural volleyball. What is the probability a randomly chosen student participates?

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Problem 2848

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 2849

Find $P(A$ AND $B)$ given $P(A)=0.9$ , $P(B)=0.3$ , and $P(A$ OR $B)=0.95$ .

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Problem 2850

Find the probability that a student spends time reading or watching TV given: P(reading) = 0.70, P(TV) = 0.10, P(both) = 0.01.

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Problem 2851

What is the probability of drawing a card not in the letters H to J from 26 alphabet cards? Provide a reduced fraction.

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Problem 2852

What is the probability of selecting a page number from 1 to 50 that is not a multiple of 4? Provide your answer in reduced fraction form.

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Problem 2853

Find $P(B)$ given $P(A)=0.3$ , $P(A$ OR $B)=0.63$ , and $P(A$ AND $B)=0.17$ .

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Problem 2854

Find $P(A$ OR $B)$ given $P(A)=0.7$ , $P(B)=0.2$ , and $P(A$ AND $B)=0.17$ .

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Problem 2855

A tech company has 150 new employees split into 5 groups of 30 each. Find the total employees, group size, and $P(C)$ .

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Problem 2856

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 2857

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 2858

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 2859

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

See Solution

Problem 2860

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.

See Solution

Problem 2861

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.

See Solution

Problem 2862

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

See Solution

Problem 2863

Find the number of debt holders with student loans (Event $A$ ) in a sample where 13 have student loans and 30 have credit card debt, given P(A|B) = $\frac{11}{30}$ .

See Solution

Problem 2864

Find the probability that a randomly chosen patient is cared for by a specific nurse, given 300 patients and 20 nurses.

See Solution

Problem 2865

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

See Solution

Problem 2866

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

See Solution

Problem 2867

There are 150 new employees in 5 groups (A, B, C, D, E) with 30 each. Find $P(C)=$ , the probability of selecting group C.

See Solution

Problem 2868

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.

See Solution

Problem 2869

In a 52-card deck, find the probability of choosing a 7. Provide your answer as a fraction.

See Solution

Problem 2870

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

See Solution

Problem 2871

In a group of $n$ students, with $7$ playing video games, $9$ playing both games, and $19$ playing board games, find the probability (in %) that a student not playing board games also doesn't play video games. Round to two decimal places.

See Solution

Problem 2872

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

See Solution

Problem 2873

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

See Solution

Problem 2874

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.

See Solution

Problem 2875

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

See Solution

Problem 2876

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.

See Solution

Problem 2877

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

See Solution

Problem 2878

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

See Solution

Problem 2879

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

See Solution

Problem 2880

D Cameron weighs 115 lb and is 58 in tall. Convert weight to kg. Dosage range is 15-25 mg/kg. Is 800 mg within this range?

See Solution

Problem 2881

Find the line of best fit for the data: $(x, y) = (1, 9.6), (2, 6.3), (3, 2.8), (4, 8.73), (5, 5.9), (6, 1.2)$ . Interpret the correlation coefficient.

See Solution

Problem 2882

Given the cost $c$ for $p$ pounds of chicken, which graph shows the proportional relationship between them?

See Solution

Problem 2883

Brady jogs laps in a circular park. Which table shows his distance from the fountain over time in feet?

See Solution

Problem 2884

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.

See Solution

Problem 2885

Which table represents a function with a range of exactly three distinct values?

See Solution

Problem 2886

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

See Solution

Problem 2887

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

See Solution

Problem 2888

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

See Solution

Problem 2889

A survey of 89 students found 30 use news websites, 43 use social media, and 19 use both. Find the counts for each region in a Venn diagram. How many got news from only websites? ( $n($ News websites only $)=11$ ) How many from only social media? ( $n($ Social media only $)=24$ ) How many from either? ( $n($ News websites or Social media $)=$ )

See Solution

Problem 2890

Find the missing number in the data set 18, 16, 9, 12, 23 if the mean is 15.

See Solution

Problem 2891

Tamara spun a spinner 50 times. What fraction of the spinner's area is likely Red if it landed on Red 23 times? A. $\frac{1}{50}$ B. $\frac{1}{23}$ C. $\frac{1}{4}$ D. $\frac{1}{2}$

See Solution

Problem 2892

A light bulb lasts $N(1100, 60)$ hours. If 3/5 of bulbs are used, how many last between 1050 and 1140 hours?

See Solution

Problem 2893

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.

See Solution

Problem 2894

Which fruit amount has vitamin C closest to that in $50$ g of acerola cherries and $150$ g of kiwifruit?

See Solution

Problem 2895

Find the expected number of light bulbs lasting between 1050 and 1140 hours from 375 bulbs, given mean = 1100, SD = 60.

See Solution

Problem 2896

Given the population data, find the world's population in ordinary notation and the percent living outside China and India.

See Solution

Problem 2897

Find the percent of the world population ( $7,890.90$ million) not in China ( $1,448.1$ million) or India ( $1,401.6$ million). Round to the nearest whole number.

See Solution

Problem 2898

What percent of China's population is between ages 15 and 65 if $17.60\%$ are under 15 and $11.9\%$ are over 65? Round to 1 decimal place.

See Solution

Problem 2899

1. Write the world's population from the table in standard form: $7,890,900,000$ .
2. What percent of the world population lives outside China and India? Round to the nearest whole number.
3. What percent of China's population is aged 15-65? Round to one decimal place.
4. How many more people under 15 live in India than in China? Round to the nearest whole number.

See Solution

Problem 2900

1. Write the world's population, $7,890.98$ million, in ordinary notation.
2. Calculate the percent of the world population living outside China and India. Round to the nearest whole number.
3. Find how many more people under 15 live in India than in China. Use percentages and round to the nearest whole number.

See Solution

1 ...26 27 28 29 30 31 32 ...63

Data & Statistics

Problem 2801

Problem 2802

Problem 2803

Problem 2804

Problem 2805

Problem 2806

Problem 2807

Points scored in basketballIf there were 168 points scored overall, how many of them were scored by Leslie?

Problem 2808

Students who graduate from Trevino University can receive Latin honours if they excelled in their studies. 22 Time elapsed 00 36 47 HR MIN SEC SmartScore out of 100?100 ?100? 73If 80 graduates received honours in all, how many more graduates were summa cum laude than magna cum laude?

Problem 2809

Problem 2810

VideoA jeweller in Princeton examined which metals her customers selected for wedding bands last year.Wedding ring preferenceIf there were 480 rings in total, how many more rings were silver than platinum? □\square□ rings

Problem 2811

Problem 2812

Residents of Benton County were asked to report their favourite pets. answeredFavourite pets Time elapsed 00 48 46 HR MIN SEC SmartScore out of 100 ? 90 1 IIIIf 40 people were surveyed, how many people voted for rabbits? □\square□ people

Problem 2813

VideoFour friends went on a road trip and kept track of how long each of them spent driving. Road trip driving timesThe friends spent a total of 840 minutes driving. How much longer did Emilia spend driving than Camille?

Problem 2814

Problem 2815

Problem 2816

Problem 2817

Problem 2818

Problem 2819

Problem 2820

Problem 2821

Problem 2822

Problem 2823

Problem 2824

Problem 2825

2 From January to September, the mean number of car accidents in a city per month was 420. From October to December, the mean was 740 accidents per month. Find the mean number of car accidents per month for the whole year.

Problem 2826

Problem 2827

Problem 2828

Problem 2829

Problem 2830

Problem 2831

\begin{tabular}{|l|l|l|l|l|} \hline Distance (M) & Time (s) & & & Average Speed \\ \cline { 2 - 5 } & Irial 1 & Irial2 & Irial3 & \\ \hline 100 & 11.6 & 11.2 & 11.8 & \\ \hline \end{tabular}If the runner ran the same speed how long would it take them to run 250 m ? 28.1 s 28.7 s 29.1 s 29.4 s

Problem 2832

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 2833

Given the function q(x)q(x)q(x) with values: q(1)=−10q(1)=-10q(1)=−10, q(3)=−6q(3)=-6q(3)=−6, q(5)=−3q(5)=-3q(5)=−3, q(7)=−1q(7)=-1q(7)=−1, q(9)=0q(9)=0q(9)=0. Is it concave up, down, or neither?

Problem 2834

Find the average velocity of an object from 2≤t≤42 \leq t \leq 42≤t≤4 and from 1≤t≤51 \leq t \leq 51≤t≤5 using y=s(t)y=s(t)y=s(t) data.

Problem 2835

Find xxx when y=29y=29y=29 and yyy when x=8x=8x=8 based on the pattern in Y=3X+2Y = 3X + 2Y=3X+2.

Problem 2836

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 2837

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 2838

Find the probability of randomly selecting each type of fruit from a basket with 8 apples, 4 oranges, 3 bananas, 6 plums, and 11 nectarines.

Problem 2839

Sally reads a 50-page book. Find the probabilities of landing on a specific page, odd/even pages, first, and last pages.

Problem 2840

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

Problem 2841

Calculate the average mass of silver isotopes: 107Ag{ }^{107} \mathrm{Ag}107Ag (106.90509 amu, 51.84\%) and 109Ag{ }^{109} \mathrm{Ag}109Ag (108.905 amu, 48.16\%).

Problem 2842

Problem 2843

A strain of bacteria grows in broth at 30∘30^{\circ}30∘ C. Find the average rate of change of population P(t)P(t)P(t) from t=0t=0t=0 to t=4.5t=4.5t=4.5 hours. Round to 3 decimal places.

Problem 2844

Find the average mass of pennies with 12%12\%12% from San Francisco (2.2 g2.2 \mathrm{~g}2.2 g) and 88%88\%88% from Philly (2.156 g2.156 \mathrm{~g}2.156 g).

Problem 2845

Find the average mass of pennies given that 10.00%10.00\%10.00% weigh 2.15 g2.15 \mathrm{~g}2.15 g and 90.00%90.00\%90.00% weigh 2.156 g2.156 \mathrm{~g}2.156 g.

Problem 2846

A car dealership finds a new car model has a transmission issue 15%15\%15% of the time. What is the probability of this issue?

Problem 2847

At a university, 50%50\%50% of students play intramural volleyball. What is the probability a randomly chosen student participates?

Problem 2848

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 2849

Find P(AP(AP(A AND B)B)B) given P(A)=0.9P(A)=0.9P(A)=0.9, P(B)=0.3P(B)=0.3P(B)=0.3, and P(AP(AP(A OR B)=0.95B)=0.95B)=0.95.

Problem 2850

Find the probability that a student spends time reading or watching TV given: P(reading) = 0.70, P(TV) = 0.10, P(both) = 0.01.

Problem 2851

What is the probability of drawing a card not in the letters H to J from 26 alphabet cards? Provide a reduced fraction.

Problem 2852

What is the probability of selecting a page number from 1 to 50 that is not a multiple of 4? Provide your answer in reduced fraction form.

Points scored in basketball
If there were 168 points scored overall, how many of them were scored by Leslie?

Students who graduate from Trevino University can receive Latin honours if they excelled in their studies. 22 Time elapsed 00 36 47 HR MIN SEC SmartScore out of $100 ?$ 73
If 80 graduates received honours in all, how many more graduates were summa cum laude than magna cum laude?

Video
A jeweller in Princeton examined which metals her customers selected for wedding bands last year.
Wedding ring preference
If there were 480 rings in total, how many more rings were silver than platinum? $\square$ rings

Residents of Benton County were asked to report their favourite pets. answered
Favourite pets Time elapsed 00 48 46 HR MIN SEC SmartScore out of 100 ? 90 1 III
If 40 people were surveyed, how many people voted for rabbits? $\square$ people

Video
Four friends went on a road trip and kept track of how long each of them spent driving. Road trip driving times
The friends spent a total of 840 minutes driving. How much longer did Emilia spend driving than Camille?

\begin{tabular}{|l|l|l|l|l|} \hline Distance (M) & Time (s) & & & Average Speed \\ \cline { 2 - 5 } & Irial 1 & Irial2 & Irial3 & \\ \hline 100 & 11.6 & 11.2 & 11.8 & \\ \hline \end{tabular}
If the runner ran the same speed how long would it take them to run 250 m ? 28.1 s 28.7 s 29.1 s 29.4 s

Given the function $q(x)$ with values: $q(1)=-10$ , $q(3)=-6$ , $q(5)=-3$ , $q(7)=-1$ , $q(9)=0$ . Is it concave up, down, or neither?

Find the average velocity of an object from $2 \leq t \leq 4$ and from $1 \leq t \leq 5$ using $y=s(t)$ data.

Find $x$ when $y=29$ and $y$ when $x=8$ based on the pattern in $Y = 3X + 2$ .

Calculate the average mass of silver isotopes: ${ }^{107} \mathrm{Ag}$ (106.90509 amu, 51.84\%) and ${ }^{109} \mathrm{Ag}$ (108.905 amu, 48.16\%).

A strain of bacteria grows in broth at $30^{\circ}$ C. Find the average rate of change of population $P(t)$ from $t=0$ to $t=4.5$ hours. Round to 3 decimal places.

Find the average mass of pennies with $12\%$ from San Francisco ( $2.2 \mathrm{~g}$ ) and $88\%$ from Philly ( $2.156 \mathrm{~g}$ ).

Find the average mass of pennies given that $10.00\%$ weigh $2.15 \mathrm{~g}$ and $90.00\%$ weigh $2.156 \mathrm{~g}$ .

A car dealership finds a new car model has a transmission issue $15\%$ of the time. What is the probability of this issue?

At a university, $50\%$ of students play intramural volleyball. What is the probability a randomly chosen student participates?

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 $C$ .

Find $P(A$ AND $B)$ given $P(A)=0.9$ , $P(B)=0.3$ , and $P(A$ OR $B)=0.95$ .

Find $P(B)$ given $P(A)=0.3$ , $P(A$ OR $B)=0.63$ , and $P(A$ AND $B)=0.17$ .

Find $P(A$ OR $B)$ given $P(A)=0.7$ , $P(B)=0.2$ , and $P(A$ AND $B)=0.17$ .

A tech company has 150 new employees split into 5 groups of 30 each. Find the total employees, group size, and $P(C)$ .

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

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.

Find the number of debt holders with student loans (Event $A$ ) in a sample where 13 have student loans and 30 have credit card debt, given P(A|B) = $\frac{11}{30}$ .

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 $P(W)=\square$ .

There are 150 new employees in 5 groups (A, B, C, D, E) with 30 each. Find $P(C)=$ , the probability of selecting group C.

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.

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

In a group of $n$ students, with $7$ playing video games, $9$ playing both games, and $19$ playing board games, find the probability (in %) that a student not playing board games also doesn't play video games. Round to two decimal places.

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.