Data & Statistics

Problem 5901

Question 36 (14 points) The financial statements of the news magazine publisher Daily Rain Inc. include the following items: \begin{tabular}{|l|r|r|} \hline Selected Balance Sheet Items & \multicolumn{2}{|c|}{ 2021 } \\ \hline Cash & $\$ 58,500$ & $\$ 35,300$ \\ \hline Short term investements & 24,000 & 16,900 \\ \hline Accounts receivables, net & 26,000 & 60,000 \\ \hline Inventory & 82,600 & 98,000 \\ \hline Prepaid expenses & 23,200 & 18,400 \\ \hline Total: & 231,300 & 248,600 \\ \hline \end{tabular}
Furthermore, the company shows total non-current assets of \ $8,325,000 and$ \ $8,433,000$ for the years 2021 and 2020, respectively. The current liabilities total $\$ 107,600$ and \ $95,800 for the years 2021 and 2020, respectively. Daily Rain Inc. realized net credit sales of$ \ $3,254,000$ and recorded $\$ 2,935,000$ in costs of goods sold for the year 2021.
Requirement 1: Compute the following ratios for the year 2021. Upload your calculations to the dropbox after submitting the online exam.
Blank \#1: Current ratio (round to two digits) Blank \#2: Quick (acid test) ratio (round to two digits) Blank \#3: Inventory turnover (round to one digit) Blank \#4: Accounts receivable turnover (round to one digit)

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Problem 5902

The target in the figure shown to the right contains four squares. If a dart thrown at random hits the target, find the probability that it will land in a green region.
The probability that a dart will land in a green region of the square target is $\square$ 0. (Type an integer or a simplified fraction.)

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Problem 5903

The target in the figure shown to the right contains four squares. If a dart thrown at random hits the target, find the probability that it will land in a green region.
The probability that a dart will land in a green region of the square target is $\square$ (Type an integer or a simplified fraction.)

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Problem 5904

\begin{tabular}{|c|c|} \hline Data Set Y & Data Set Z \\ \hline 0.52 & 0.37 \\ \hline 1.69 & 0.52 \\ \hline 1.01 & 0.09 \\ \hline 1.39 & 0.84 \\ \hline 1.57 & 1.39 \\ \hline \end{tabular}
Answer Attempt 1 out of 2
The maximum of Data Set $Y$ is $\square$ than the maximum of Data Set Z. The min of Data Set Y is than the minimum of Data Set Z.

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Problem 5905

Decide whether you can use the normal distribution to approximate the binomial distribution. If you can, use the normal distribution to approximate the indicated probabilities and sketch their graphs. If you cannot, explain why and use the binomial distribution to find the indicated probabilities. A survey of adults found that 6\% say their favorite sport is auto racing. You randomly select 300 adults and ask them to name their favorite sport. Complete parts (a) through (d).

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Problem 5906

For the experiment of rolling a single fair die, find the probability that the number rolled is odd or even.
The probability that the number rolled is odd or even is $\square$ . (Simplify your answer.)

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Problem 5907

A box and whisker plot for the age of MST 1102 students is provided below. Use the diagram to answer the following four questions.
The data points represented by the dots shown in the chart are known as - $\qquad$

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Problem 5908

For the data set below, find the IQR. $\begin{array}{lllllllllll} 64 & 76 & 76 & 70 & 66 & 71 & 61 & 71 & 62 & 79 & 79 \end{array}$
Send data to Excel 8 76 12 64

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Problem 5909

Kevin installed a certain brand of automatic garage door opener that utilizes a transmitter control with four independent switches, each one set on or off. The receiver (wired to the door) must be set with the same pattern as the transmitter.
If six neighbors with the same type of opener set their switches independently, what is the probability of at least one pair of neighbors using the same settings?
The probability of at least one pair of neighbors using the same settings is approximately 9785 . (Type an integer or decimal rounded to four decimal places as needed.)

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Problem 5910

$\text{The conditional probability of event } B \text{ occurring, given that event } A \text{ has occurred, is } P(B \mid A)=\frac{P(A \text{ and } B)}{P(A)}.$ Use the information below to find the probability that a flight departed on time given that it arrives on time.
$\text{The probability that an airplane flight departs on time is } 0.89.$
$\text{The probability that a flight arrives on time is } 0.87.$
$\text{The probability that a flight both departs and arrives on time is } 0.82.$

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Problem 5911

OINTS) THE GLEASON SUPERMARKET'S MANAGER MUST DECIDE HOW MUCH OF EACH ICE CREAM FLAVOR HE SHOULD STOCK SO THAT CUSTOMER DEMANDS ARE SATISFIED BUT UNWANTED FLAVORS DON'T RESULTIN WASTE. THE ICE CREAM SUPPLIER CLAIMS THAT AMONG THE FOUR MOST POPULAR FLAVORS, CUSTOMERS HAVE THESE PREFERENCE RATES: $62 \%$ PREFER VANILLA, 18\% PREFER CHOCOLATE, $12 \%$ PREFER NEAPOLITAN, AND 8\% PREFER VANILLA FUDGE. A RANDOM SAMPLE OF 200 CUSTOMERS PRODUCES THE RESULTS BELOW. AT THE $\alpha=0.05$ SIGNIFICANCE LEVEL, TEST THE CLAIM THAT THE SUPPLIER HAS CORRECTLY IDENTIFIED CUSTOMER PREFERENCES. \begin{tabular}{|l|c|c|c|c|} \hline FLAVOR & VANILLA & CHOCOLATE & NEAPOLITAN & VANILLA FUDGE \\ \hline CUSTOMERS & 120 & 40 & 18 & 22 \\ \hline \end{tabular}

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Problem 5912

What is the main purpose of ANOVA? To identify relationships between categorical variables. To compare only two means, and no more. To use the z-distribution table to calculate percentiles. To simultaneously compare more than two means.

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Problem 5913

A boxplot of 40 blenders shows costs: min \$11, Q1 \$18, median \$22, Q3 \$28, max \$46. With \$28, how many can you buy? Choices: 10, 25, 30, 40.

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Problem 5914

Find the mean, median, mode, and range for these sets: 1) $46,46,58,50,52,49$ 2) $62,60,54,72,72$ 3) $89,89,76,87,82,85$ 4) $78,75,77,77,58$ 5) $50,49,57,57,48,58$ 6) $62,61,46,61,50$ 7) $32,32,26,25,20,31$ 8) $64,63,65,64,64$ 9) $95,95,94,98,79,95$

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Problem 5915

Create a boxplot and find the 5-number summary for these cell phone radiation rates: 0.52, 0.55, 0.59, 0.62, 0.76, 1.11, 1.19, 1.21, 1.33, 1.38, 1.45.

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Problem 5916

Calculate the mean of the numbers $50, 49, 57, 57, 48, 58$ and round to the nearest tenth.

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Problem 5917

Create a boxplot and find the 5-number summary for the strontium-90 values: 129, 131, 135, 139, 142, 144, 147, 149, 152, 153, 155, 155, 155, 156, 159, 162, 165, 166, 168, 174.

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Problem 5918

A clown made purple and green balloon animals. What is the probability a randomly selected one is green and a dog? Simplify.

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Problem 5919

Calculate the mean of the numbers $89, 89, 76, 87, 82, 85$ and round to the nearest tenth.

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Problem 5920

Analyze the violent-crime rates: $Q_{1}=272.8$ , $Q_{2}=387.4$ , $Q_{3}=529.1$ . Interpret these values correctly.

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Problem 5921

What is the probability a randomly selected baby has a slow heart rate ( $<100$ bpm) and blue eyes? Simplify the fraction.

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Problem 5922

Analyze the violent crime rates: $Q_{1}=272.8$ , $Q_{2}=387.4$ , $Q_{3}=529.1$ . Interpret and find the interquartile range.

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Problem 5923

What is the probability a contestant lands on rainforest and gets a tent? Simplify the fraction.

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Problem 5924

What is the probability that a randomly selected competitor reacted in less than 0.3 seconds and was female, given 3 males and 5 females?

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Problem 5925

Find the percentage of 30 batteries (13 lasting > 42 hours). Round to 2 decimal places.

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Problem 5926

Tom has 5 red, 4 blue, and 3 yellow marbles. Find the probability of picking a blue marble and how many non-blue marbles to add for a $\frac{1}{10}$ chance.

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Problem 5927

Find the first quartile of gas mileage for 1146 vehicles with mean 23.0 mpg and std dev $4.9 \mathrm{mpg}$ . Round to two decimals.

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Problem 5928

Find the third quartile $Q_{3}$ of gas mileage using $Q_{1}=19.71$ , $\mu=23.0$ , $\sigma=4.9$ , and $Z_{0.75}=0.67$ .

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Problem 5929

Find $z$ where 36% of a standard normal distribution is below $z$ and where 36% is above $z$ . Round to two decimal places.

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Problem 5930

Calculate the mean of the numbers $64, 63, 65, 64, 64$ and round it to the nearest tenth.

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Problem 5931

Find the travel time $x$ such that $17.36\%$ of Abby's 60 days have a travel time of at least $x$ , given mean $35.6$ and SD $10.3$ . Round to two decimal places.

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Problem 5932

Find the probability that a standard normal variable $Z$ is between -0.67 and 1.67. Round to three decimal places.

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Problem 5933

Find the travel time $x$ such that 17.3% of Abby's 60 days have a travel time of at least $x$ , given mean $35.6$ and SD $10.3$ .

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Problem 5934

What percent of the $N(161.61,48.95)$ distribution is below 100? Round your answer to two decimal places.

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Problem 5935

What percent of 548 females aged 20 to 29 weighed under 100 pounds if 13 did? Round to two decimal places.

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Problem 5936

Find the proportion of SAT scores above 1600, given a mean of 1021 and standard deviation of 214. Round to four decimal places.

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Problem 5937

Find the percentage of 2016 vehicles with better gas mileage than the 2016 VW Beetle's $28 \mathrm{mpg}$ , given mean $23.0 \mathrm{mpg}$ and SD $4.9 \mathrm{mpg}$ . Round to two decimal places.

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Problem 5938

Find the proportion of rainy days with $\mathrm{pH}$ below 5.0, given a Normal distribution with mean 5.43 and SD 0.54.

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Problem 5939

Find the average cost of room and board in 2017 using $f(x)=945x+3048$ and $g(x)=3877 e^{0.132x}$ . Which model is better?

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Problem 5940

Find the statistical measures and box plot for this data: 6, 9, 10, 11, 12, 13, 14, 14, 15, 16, 16, 16, 18. Min, Q1, Med, Q3, Max: \square.

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Problem 5941

Find the positive value of $z$ such that $95\%$ of the area under the standard normal curve is between $-z$ and $z$ , to two decimal places.

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Problem 5942

Calculate the min, Q1, median, Q3, max for the data set: 4, 6, 9, 10, 11, 12, 13, 13, 14, 15, 17, 17, 19. Create a box plot.

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Problem 5943

Find the $z$ -scores for a woman and a man both 5.5 feet tall using the given means and standard deviations. Round to two decimal places.
$z_{woman} = \frac{height - mean_{woman}}{std_{woman}}$
$z_{man} = \frac{height - mean_{man}}{std_{man}}$

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Problem 5944

For a distribution $N(5.43,0.54)$ , find the proportion of observations less than 5.05 and 5.79, rounded to four decimal places.

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Problem 5945

Find the median and mean of the data set: 38, 16, 37, 29. Calculate median and mean values.

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Problem 5946

Find the median and mean of the set: 24, 44, 10, 22. Median = , Mean = .

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Problem 5947

Find the median and mean of the data set: 18, 18, 12, 47, 10. Median = $\square$ , Mean = $\square$ .

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Problem 5948

Kaardipakist (52 kaarti) leia tõenäosus, et kaart on: a) poti, b) punane, c) pildikaart, d) paarisarv, e) soldat, f) risti äss.

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Problem 5949

Estimate the mean age at first child birth using $f(x)=24 x^{0.043}$ for the years 2010, 2014, and 2018.

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Problem 5950

What percentage of 167 engineers are female if 111 are male?

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Problem 5951

Find Company B's beginning equity, end equity, and net income using the financial data provided.

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Problem 5952

Calculate Jason's GPA based on his 15 credit hours and grades: A (5), A (4), B (3), B (2), B (1) using $A=4, B=3$ .

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Problem 5953

Find the average price per gallon that Nancy paid for gas, given gallons and prices: Texaco (20, 3.95), Mobil (14, 3.10), Bp (22, 3.80), Shell (16, 3.90). Round to the nearest cent.

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Problem 5954

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Current Attempt in Progress Assume the sample is a random sample from a distribution that is reasonably normally distributed and we are doing inference for a sample mean. Find endpoints of a t-distribution with $1 \%$ beyond them in each tail if the sample has size $n=18$ .
Round your answer to three decimal places. endpoints $= \pm$ $\square$

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Problem 5955

Question 3 of 20 (1 point) I Question Attempt: 1 of 1 1 2 3 4 5 6 7
The frequency distribution shown is constructed incorrectly. \begin{tabular}{lc} Class & Frequency \\ \hline $27-31$ & 4 \\ $32-35$ & 5 \\ $36-40$ & 7 \\ $41-45$ & 6 \\ $46-50$ & 2 \end{tabular}
Select all applicable mistakes in the frequency distribution. class width is not uniform a class is omitted class limits overlap

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Problem 5956

A hypothesis test is to be performed. Determine the null and alternate hypotheses. In 1990, the average duration of long-distance telephone calls originating in one town was 6.5 minutes. A long-distance telephone company wants to perform a hypothesis test to determine whether the average duration of long-distance phone calls has changed from the 1990 mean of 6.5 minutes. $\begin{array}{l} H_{0}: \mu=6.5 \text { minutes } \\ H_{1}: \mu<6.5 \text { minutes } \\ H_{0}: \mu=6.5 \text { minutes } \\ H_{1}: \mu>6.5 \text { minutes } \\ H_{0}: \mu \neq 6.5 \text { minutes } \\ H_{1}: \mu=6.5 \text { minutes } \\ H_{0}: \mu=6.5 \text { minutes } \\ H_{1}: \mu \neq 6.5 \text { minutes } \end{array}$

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Problem 5957

Determine whether the statement is true or false. If it is false, rewrite it as a true statement. In a frequency distribution, the class width is the distance between the lower and upper limits of a class.
Choose the correct answer below. A. True. B. False. In a frequency distribution, the range is the distance between the lower and upper limits of a class. C. False. In a frequency distribution, the class width is the distance between the lower or upper limits of consecutive classes.

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Problem 5958

Question 5 (1 point)
The fact that the slope of the production possibilities curve becomes steeper as we move down along the curve indicates that:
the opportunity cost of producing each product is constant. society's resources are limited. resources are perfectly shiftable between alternative uses. the principle of increasing opportunity costs is relevant. uestion 6 (1 point)

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Problem 5959

Question 12 (1 point)
Which of the following would cause an increase in the supply of a product at a given price?
a reduction in the cost of resources to produce the product an increase in the cost of resources to produce the product an increase in the price of the product a decrease in the cost of producing a substitute product

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Problem 5960

Which of the following items is the most demand elastic?
Residential land
Restaurant meals
Motor Vehicles Shoes

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Problem 5961

Question 25 (1 point) 33 $x y$ is the relevant budget line and $I_{1}, I_{2}$ , and $I_{3}$ are indifference curves. If the consumer is initially at point $L$ , they should:
strive for point $N$ by obtaining a larger money income. purchase more of $X$ and less of $Y$ . purchase more of $Y$ and less of $X$ . remain at that point to maximize utility.

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Problem 5962

Question 27 (1 point)
The following table provides information on the production of a product that requires one variable input. There are negative marginal returns when the: \begin{tabular}{|c|c|} \hline Input & Total product \\ \hline 0 & 0 \\ \hline 1 & 5 \\ \hline 2 & 20 \\ \hline 3 & 32 \\ \hline 4 & 42 \\ \hline 5 & 50 \\ \hline 6 & 55 \\ \hline 7 & 58 \\ \hline 9 & 58 \\ \hline \end{tabular}
ninth unit of input is added.
sixth unit of input is added.
fifth unit of input is added. seventh unit of input is added.

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Problem 5963

- (c): Your answer is incorrect.
Suppose $Z$ follows the standard normal distribution. Calculate the following probabilities using the ALEKS calculator. Round your responses to at least three decimal places. (a) $P(Z>-1.40)=0.919$ (b) $P(Z \leq-0.56)=0.288$ (c) $P(0.33<Z<1.94)=0.356$

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Problem 5964

A commercial building contractor will commit her company to one of three projects depending on her analysis of potential profits or losses as shown here. \begin{tabular}{c|c|c|c|c|c} \hline \multicolumn{2}{c|}{ Project A } & \multicolumn{2}{c}{ Project B } & \multicolumn{2}{c}{ Project C } \\ \hline Profit or Loss & Probability & Profit or Loss & Probability & Profit or Loss & Probability \\ $\mathbf{x}$ & $\mathbf{P}(\mathbf{x})$ & $\mathbf{x}$ & $\mathbf{P}(\mathbf{x})$ & $\mathbf{x}$ & $\mathbf{P}(\mathbf{x})$ \\ \hline $\$ 70,000$ & 0.12 & $\$ 0$ & 0.30 & $\$ 60,000$ & 0.53 \\ 180,000 & 0.65 & 240,000 & 0.26 & 320,000 & 0.47 \\ 210,000 & 0.23 & 270,000 & 0.44 & & \\ \hline \end{tabular}
Determine which project the contractor should choose according to the pessimist viewpoint. Project B Project C Project A

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Problem 5965

Correlation and Simple Linear Regression Performing a simple linear regression $0 / 5$ Ghadeer
You are the owner of Fast Break, a popular local place that sells drinks, snacks, and sandwiches. For inventory management purposes, you are examining how the weather affects the amount of hot chocolate sold in a day. You are going to gather a random sample of 7 days showing that day's high temperature (denoted by $X$ , in ${ }^{\circ} \mathrm{C}$ ) and the amount of hot chocolate sold that day (denoted by $Y$ , in liters). You will also note the product $X \cdot Y$ of the temperature and amount of hot chocolate sold for each day. (These products are written in the row labeled " $X Y$ "). (a) Click on "Take Sample" to see the results for your random sample. Take Sample \begin{tabular}{|c|c|c|c|c|c|c|c|} \hline \begin{tabular}{c} High temperature, $X$ \\ (in ${ }^{\circ} \mathrm{C}$ ) \end{tabular} & 25 & 3 & 19 & 29 & 8 & 14 & 34 \\ \hline \begin{tabular}{c} Amount of hot \\ chocolate sold, $y$ \\ (in liters) \end{tabular} & 9 & 13 & 8 & 5 & 17 & 15 & 2 \\ \hline $X y$ & 225 & 39 & 152 & 145 & 136 & 210 & 68 \\ \hline $x$ \end{tabular}

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Problem 5966

Test Scores Which is a better relative position, a score of 80 on a geography test that has a mean of 71 and a standard deviation of 6.5 , or a score of 65 on an accounting test that has a mean of 55 and a standard deviation of 2.5?
Part: $0 / 2$ $\square$
Part 1 of 2
Find the corresponding $z$ score for each test score. Round $z$ scores to two decimal places. Geography test $z=$ $\square$ Accounting test $z=$ $\square$

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Problem 5967

from 1 to 8 Question 40 of 40 This test: 40 point(s) possible This question: 1 point(s) possible Submit test
Consider a drug that is used to help prevent blood clots in certain patients. In clinical trials, among 5829 patients treated with this drug, 151 developed the adverse reaction of nausea. Use a 0.01 significance level to test the claim that $3 \%$ of users develop nausea. Does nausea appear to be a problematic adverse reaction?
Identify the null and alternative hypotheses for this test. Choose the correct answer below. A. $H_{0}: p=0.03$ $H_{1}: p>0.03$ B. $H_{0}: p=0.03$ $H_{1}: p<0.03$ C. $H_{0}: p=0.03$ $H_{1}: p \neq 0.03$ D. $H_{0}: p \neq 0.03$ $H_{1}: p=0.03$
Identify the test statistic for this hypothesis test. The test statistic for this hypothesis test is $\square$ (Round to two decimal places as needed.) Identify the P -value for this hypothesis test. The P -value for this hypothesis test is $\square$ (Round to three decimal places as needed.)

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Problem 5968

Probability Outcomes and event probability Almas
A number cube is rolled three times. An outcome is represented by a string of the sort OEE (meaning an odd number on Español the first roll, an even number on the second roll, and an even number on the third roll). The 8 outcomes are listed in the table below. Note that each outcome has the same probability.
For each of the three events in the table, check the outcome(s) that are contained in the event. Then, in the last column, enter the probability of the event. \begin{tabular}{|c|c|c|c|c|c|c|c|c|c|} \hline \multirow[t]{2}{}{} & \multicolumn{8}{|c|}{Outcomes} & \multirow{2}{}{Probability} \\ \hline & EOO & EEE & OEE & EEO & OEO & EOE & 000 & OOE & \\ \hline \begin{tabular}{l} Event \\ A: An \\ even \\ number \\ on the \\ first roll \\ or the \\ third roll \\ (or \\ both) \end{tabular} & 0 & 0 & ○ & ○ & 0 & ○ & 0 & 0 & — \\ \hline \begin{tabular}{l} Event \\ B: Two or more odd numbers \end{tabular} & 0 & 0 & ○ & 0 & 0 & 0 & 0 & $v$ & — \\ \hline \begin{tabular}{l} Event \\ C: No \\ odd \\ numbers \\ on the \\ first two \\ rolls \end{tabular} & 0 & 0 & ○ & ○ & ○ & ○ & 0 & 0 & $\square$ \\ \hline \end{tabular}

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Problem 5969

Dove have obleen ed 10 workers at a production company and have timed how long it takes each to prodace an item. You have been able to mateh the number of items produced with the length wf the work er 's expenence. Assuming that your findings are as displayed in the table below: \begin{tabular}{|l|c|c|c|c|c|c|c|c|c|c|} \hline Worker & A & B & C & D & E & F & G & H & I & J \\ \hline Experience(Months) & 2 & 5 & 3 & 8 & 5 & 9 & 12 & 16 & 1 & 6 \\ \hline Time taken (Minutes) & 27 & 26 & 30 & 20 & 22 & 20 & 16 & 15 & 30 & 19 \\ \hline \end{tabular} ia) Draw a coatter diagram for the data and comment [10] (b) Determine a straight lime equation and estimate how long a worker with 10 months [10] expeniance will take to produce an item. (c) If the compomy would like an item to be produced within 22 mimutes, advise on the [05] worker the company it should employ. [10]

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Problem 5970

14
Uung the Venn Dragram below, the value of P(AUC) is?
a None of chorices
a 0.73 C 0.88 d. 032 e. $a_{62}$

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Problem 5971

Time
It mo evente are independent the special rulle of multiplication is used to fin Probability of their joint occurrence (2 maikk) 0 a. $P(A$ ind $B)=P(A) \times P(B \mid A)$ b. $P(A \cup B)=P(A) \times P(B)-P(A \cap B)$ c None of the options are correct d $P(A$ and $B)=P(A) \times P(B)$

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Problem 5972

burvinin 7 Morinet thentrod Time left 0.45 .55 Plag queritan a 0992
b. None of the choices
c 0892 d 0.012

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Problem 5973

12. Table 2.2 shows the frequency of marks obtained by some students in a scholarship examination. Table 2.2 \begin{tabular}{|l|c|c|c|c|c|c|} \hline Mark & $1-10$ & $11-20$ & $21-30$ & $31-40$ & $41-50$ & $51-60$ \\ \hline Frequency & 3 & 5 & 11 & 14 & 10 & 7 \\ \hline \end{tabular} (a) Construct a cumulative frequency table and hence draw an ogive for the data. (b) From the ogive, estimate the: (i) Lower and upper quartiles (ii) Median (c) A three-digit number is formed at random using the digits 1,6 and 9. If no digit is repeated in any of the numbers, find the probability that the number formed is greater than 600 . (12 marks)

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Problem 5974

Lani asks 24 students in her class how they travel to school and displays her results in a pictogram. What fraction of students cycle to school? Give your answer in its simplest form.
How students travel to school \begin{tabular}{|c|c|c|} \hline Bus & 수수 & \\ \hline Car & 郘 & Key \\ \hline Walk & & R ${ }_{\text {P }}=2$ students \\ \hline Cycle & หํ & \\ \hline \end{tabular}

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Problem 5975

Descriptive Statistics Finding a percentage of a total amount in a circle graph 3/5
The circle graph shows how the annual budget for a company is divided by department. If the total annual budget is $\$ 10,000,000$ , what amount is budgeted for Research? \\square\square$

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Problem 5976

The aromatic hydrocarbon cymene $\left(\mathrm{C}_{10} \mathrm{H}_{14}\right)$ is found in nearly 100 spices and fragrances including coriander, anise, and thyme. The complete combustion of 1.608 g of cymene in a bomb calorimeter ( $C_{\text {calorimeter }}=3.640 \mathrm{~kJ} /{ }^{\circ} \mathrm{C}$ ) produced an increase in temperature of $19.35^{\circ} \mathrm{C}$ . Calculate the molar enthalpy of combustion of cymene ( $\Delta H_{\text {comb }}$ ) in kilojoules per mole of cymene.

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Problem 5977

The histogram shows the number of miles that each adult, from a survey of 67 adults, drives per week. How many adults drive fewer than 200 miles per week?
There are $\square$ adults who drive fewer than 200 miles per week.

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Problem 5978

Holden Corporation produces three products, with costs and selling prices as follows: \begin{tabular}{|c|c|c|c|c|c|c|} \hline & \multicolumn{2}{|l|}{Product A} & \multicolumn{2}{|l|}{Product B} & \multicolumn{2}{|l|}{Product C} \\ \hline Selling price per unit & \$ 30 & 100\% & \$ 20 & 100\% & \$ 15 & 100\% \\ \hline Variable costs per unit & 18 & 60\% & 15 & 75\% & 6 & 40\% \\ \hline Contribution margin per unit & \$ 12 & 40\% & \$ 5 & 25\% & \$ 9 & 60\% \\ \hline \end{tabular}
A particular machine is the bottleneck. On that machine, 3 machine hours are required to produce each unit of Product $A, 1$ hour is required to produce each unit of Product B, and 2 hours are required to produce each unit of Product C. Rank the products from the most profitable to the least profitable use of the constrained resource (bottleneck). Note: Round your intermediate calculations to 2 decimal places.

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Problem 5979

Fird the median of the set of scores. $44,86,92,58,62,70,92$ 58 72 92 70

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Problem 5980

What ta the GPA for a student who carned the grades shown below? The grades are based on a 4.0 point maximum \begin{tabular}{|c|c|c|} \hline Class & Credits & Grade \\ \hline Phys ISOC & 4 & B \\ \hline Phys Lab 160C & 1 & C \\ \hline Math 210A & 4 & B \\ \hline Hist 220A & 3 & D \\ \hline \end{tabular} 2.41 3.63 2.50 2.42

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Problem 5981

Below is a graph of a normal distribution with mean $\mu=4$ and standard deviation $\sigma=2$ . The shaded region represents the probability of obtaining a value from this distribution that is between 2 and 5.
Shade the corresponding region under the standard normal curve below.

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Problem 5982

Topic III Anticipating Patterns: Probability and Simulation
41. Elaine is enrolled in a self-paced course that allows three attempts to pass an examination on the material. She does not study and has 2 out of 10 chances of passing on any one attempt by pure luck. What is Elaine's likelihood of passing, provided that she willhave three attempts to pass the exam? (Assume the attempts are independent because she takes a different exam at each attempt.) a. Explain how you would use a random digit table to simulate Elaine's attempts at the exam. Elaine will of course stop taking the exam as soon as she passes. $0-1=p 25 s i n g, 2-c l=f a i l i n g, 100 \mathrm{~K}$ at e b. Simulate 10 repetitions using the random digits below. What is your estimate of Elaine's likelihood of passing the course? $\begin{array}{llllllll} 59636 & 88804 & 04634 & 71197 & 19352 & 73089 & 84898 & 45785 \\ \hline 62568 & 70206 & 40325 & 03699 & 71080 & 22553 & 11486 & 11776 \end{array}$

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Problem 5983

Consider the following demographic data for a hypothetical state. Assume everyone votes along party lines. The state has 16 representatives and a population of 8.4 million; party affiliations are $90 \%$ Democrat and $10 \%$ Republican. Complete parts (a) and (b) below. a. If districts were drawn randomly, what would be the most likely distribution of House seats? $\square$ Republicans, $\square$ Democrats

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Problem 5984

What is the relationship between molarity $M$ , normality $N$ , and ppm?

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Problem 5985

A pie chart shows fish sales: Fish C = 20 degrees.
(a) What percentage is Fish C? (b) Total fish = 156. How many Fish B? (c) Describe Fish D and E.

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Problem 5986

Conjectured impurity in wells is $30\%$ . If 6 wells are tested, find: a) P(exactly 3 impure) b) P(more than 3 impure).

See Solution

Problem 5987

Three students weighed a copper cylinder (true mass: $47.32 \mathrm{~g}$ ). Analyze their accuracy and precision based on their results.

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Problem 5988

What is the probability of drawing a red marble first from a jar with 3 red, 4 black, and 2 green marbles? (as a fraction)

See Solution

Problem 5989

What is the probability of drawing an orange marble first from a jar with 8 purple and 3 orange marbles?

See Solution

Problem 5990

What is the probability of drawing a purple marble after keeping one orange marble from a jar with 8 purple and 3 orange marbles?

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Problem 5991

Find the probability of drawing an orange marble and then a purple marble from a jar with 8 purple and 3 orange marbles.

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Problem 5992

What is the probability of being either a sophomore or junior if students are equally likely to be in any class? Options: 0.44, 0.50, 0.25, 0.625.

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Problem 5993

What is the probability that a student majors in either Performing Arts or Humanities? Options: 0.77, 0.26, 0.23, 1.00

See Solution

Problem 5994

What is the probability of a student being both a junior and a Business and Management major? Options: 0.25, 0.21, 0.87, 0.82.

See Solution

Problem 5995

What is the probability of drawing a 10 of hearts or a 10 of clubs from a 52-card deck?

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Problem 5996

Find the probability of rolling a 1 or 2 on a 6-sided die: $1 / 36$ , $1 / 3$ , $1 / 2$ , or $1 / 6$ ?

See Solution

Problem 5997

Identify which situation indicates a person is insolvent:
1. Assets \$56,400; expenses \$61,100
2. Assets \$78,400; net worth \$23,100
3. Liabilities \$45,400; net worth \$7,100
4. Assets \$40,400; liabilities \$46,100

See Solution

Problem 5998

Find the amount of apple $y$ for cranberry amounts $t$ using the ratio 3:5. Complete the table for $t = 525$ .

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Problem 5999

1. A cran-apple juice blend has a cranberry to apple ratio of 3:5. Find amounts for cranberry $t$ and apple $y$ .
2. John fills an 18-inch deep tub. It takes 2 min for 3 inches. Will it take 10 more min to fill? Explain.

See Solution

Problem 6000

An unbiased coin is tossed. What is the probability of getting (a) heads, (b) tails? Use $P(H) = \frac{1}{2}$ and $P(T) = \frac{1}{2}$ .

See Solution

1 ...57 58 59 60 61 62 63

Data & Statistics

Problem 5901

Problem 5902

Problem 5903

Problem 5904

Problem 5905

Problem 5906

For the experiment of rolling a single fair die, find the probability that the number rolled is odd or even.The probability that the number rolled is odd or even is □\square□ . (Simplify your answer.)

Problem 5907

A box and whisker plot for the age of MST 1102 students is provided below. Use the diagram to answer the following four questions.The data points represented by the dots shown in the chart are known as - \qquad

Problem 5908

For the data set below, find the IQR. 6476767066716171627979\begin{array}{lllllllllll} 64 & 76 & 76 & 70 & 66 & 71 & 61 & 71 & 62 & 79 & 79 \end{array}64​76​76​70​66​71​61​71​62​79​79​Send data to Excel 8 76 12 64

Problem 5909

Problem 5910

Problem 5911

Problem 5912

What is the main purpose of ANOVA? To identify relationships between categorical variables. To compare only two means, and no more. To use the z-distribution table to calculate percentiles. To simultaneously compare more than two means.

Problem 5913

A boxplot of 40 blenders shows costs: min \$11, Q1 \$18, median \$22, Q3 \$28, max \$46. With \$28, how many can you buy? Choices: 10, 25, 30, 40.

Problem 5914

Problem 5915

Create a boxplot and find the 5-number summary for these cell phone radiation rates: 0.52, 0.55, 0.59, 0.62, 0.76, 1.11, 1.19, 1.21, 1.33, 1.38, 1.45.

Problem 5916

Calculate the mean of the numbers 50,49,57,57,48,5850, 49, 57, 57, 48, 5850,49,57,57,48,58 and round to the nearest tenth.

Problem 5917

Create a boxplot and find the 5-number summary for the strontium-90 values: 129, 131, 135, 139, 142, 144, 147, 149, 152, 153, 155, 155, 155, 156, 159, 162, 165, 166, 168, 174.

Problem 5918

A clown made purple and green balloon animals. What is the probability a randomly selected one is green and a dog? Simplify.

Problem 5919

Calculate the mean of the numbers 89,89,76,87,82,8589, 89, 76, 87, 82, 8589,89,76,87,82,85 and round to the nearest tenth.

Problem 5920

Analyze the violent-crime rates: Q1=272.8Q_{1}=272.8Q1​=272.8, Q2=387.4Q_{2}=387.4Q2​=387.4, Q3=529.1Q_{3}=529.1Q3​=529.1. Interpret these values correctly.

Problem 5921

What is the probability a randomly selected baby has a slow heart rate (<100<100<100 bpm) and blue eyes? Simplify the fraction.

Problem 5922

Analyze the violent crime rates: Q1=272.8Q_{1}=272.8Q1​=272.8, Q2=387.4Q_{2}=387.4Q2​=387.4, Q3=529.1Q_{3}=529.1Q3​=529.1. Interpret and find the interquartile range.

Problem 5923

What is the probability a contestant lands on rainforest and gets a tent? Simplify the fraction.

Problem 5924

What is the probability that a randomly selected competitor reacted in less than 0.3 seconds and was female, given 3 males and 5 females?

Problem 5925

Find the percentage of 30 batteries (13 lasting > 42 hours). Round to 2 decimal places.

Problem 5926

Tom has 5 red, 4 blue, and 3 yellow marbles. Find the probability of picking a blue marble and how many non-blue marbles to add for a 110\frac{1}{10}101​ chance.

Problem 5927

Find the first quartile of gas mileage for 1146 vehicles with mean 23.0 mpg and std dev 4.9mpg4.9 \mathrm{mpg}4.9mpg. Round to two decimals.

Problem 5928

Find the third quartile Q3Q_{3}Q3​ of gas mileage using Q1=19.71Q_{1}=19.71Q1​=19.71, μ=23.0\mu=23.0μ=23.0, σ=4.9\sigma=4.9σ=4.9, and Z0.75=0.67Z_{0.75}=0.67Z0.75​=0.67.

Problem 5929

Find zzz where 36% of a standard normal distribution is below zzz and where 36% is above zzz. Round to two decimal places.

Problem 5930

Calculate the mean of the numbers 64,63,65,64,6464, 63, 65, 64, 6464,63,65,64,64 and round it to the nearest tenth.

Problem 5931

Find the travel time xxx such that 17.36%17.36\%17.36% of Abby's 60 days have a travel time of at least xxx, given mean 35.635.635.6 and SD 10.310.310.3. Round to two decimal places.

Problem 5932

Find the probability that a standard normal variable ZZZ is between -0.67 and 1.67. Round to three decimal places.

Problem 5933

Find the travel time xxx such that 17.3% of Abby's 60 days have a travel time of at least xxx, given mean 35.635.635.6 and SD 10.310.310.3.

Problem 5934

What percent of the N(161.61,48.95)N(161.61,48.95)N(161.61,48.95) distribution is below 100? Round your answer to two decimal places.

Problem 5935

What percent of 548 females aged 20 to 29 weighed under 100 pounds if 13 did? Round to two decimal places.

Problem 5936

Find the proportion of SAT scores above 1600, given a mean of 1021 and standard deviation of 214. Round to four decimal places.

Problem 5937

Find the percentage of 2016 vehicles with better gas mileage than the 2016 VW Beetle's 28mpg28 \mathrm{mpg}28mpg, given mean 23.0mpg23.0 \mathrm{mpg}23.0mpg and SD 4.9mpg4.9 \mathrm{mpg}4.9mpg. Round to two decimal places.

Problem 5938

Find the proportion of rainy days with pH\mathrm{pH}pH below 5.0, given a Normal distribution with mean 5.43 and SD 0.54.

Problem 5939

Find the average cost of room and board in 2017 using f(x)=945x+3048f(x)=945x+3048f(x)=945x+3048 and g(x)=3877e0.132xg(x)=3877 e^{0.132x}g(x)=3877e0.132x. Which model is better?

Problem 5940

Find the statistical measures and box plot for this data: 6, 9, 10, 11, 12, 13, 14, 14, 15, 16, 16, 16, 18. Min, Q1, Med, Q3, Max: \square.

Problem 5941

Find the positive value of zzz such that 95%95\%95% of the area under the standard normal curve is between −z-z−z and zzz, to two decimal places.

Problem 5942

Calculate the min, Q1, median, Q3, max for the data set: 4, 6, 9, 10, 11, 12, 13, 13, 14, 15, 17, 17, 19. Create a box plot.

Problem 5943

Problem 5944

For a distribution N(5.43,0.54)N(5.43,0.54)N(5.43,0.54), find the proportion of observations less than 5.05 and 5.79, rounded to four decimal places.

Problem 5945

For the experiment of rolling a single fair die, find the probability that the number rolled is odd or even.
The probability that the number rolled is odd or even is $\square$ . (Simplify your answer.)

A box and whisker plot for the age of MST 1102 students is provided below. Use the diagram to answer the following four questions.
The data points represented by the dots shown in the chart are known as - $\qquad$

For the data set below, find the IQR. $\begin{array}{lllllllllll} 64 & 76 & 76 & 70 & 66 & 71 & 61 & 71 & 62 & 79 & 79 \end{array}$
Send data to Excel 8 76 12 64

Calculate the mean of the numbers $50, 49, 57, 57, 48, 58$ and round to the nearest tenth.

Calculate the mean of the numbers $89, 89, 76, 87, 82, 85$ and round to the nearest tenth.

Analyze the violent-crime rates: $Q_{1}=272.8$ , $Q_{2}=387.4$ , $Q_{3}=529.1$ . Interpret these values correctly.

What is the probability a randomly selected baby has a slow heart rate ( $<100$ bpm) and blue eyes? Simplify the fraction.

Analyze the violent crime rates: $Q_{1}=272.8$ , $Q_{2}=387.4$ , $Q_{3}=529.1$ . Interpret and find the interquartile range.

Tom has 5 red, 4 blue, and 3 yellow marbles. Find the probability of picking a blue marble and how many non-blue marbles to add for a $\frac{1}{10}$ chance.

Find the first quartile of gas mileage for 1146 vehicles with mean 23.0 mpg and std dev $4.9 \mathrm{mpg}$ . Round to two decimals.

Find the third quartile $Q_{3}$ of gas mileage using $Q_{1}=19.71$ , $\mu=23.0$ , $\sigma=4.9$ , and $Z_{0.75}=0.67$ .

Find $z$ where 36% of a standard normal distribution is below $z$ and where 36% is above $z$ . Round to two decimal places.

Calculate the mean of the numbers $64, 63, 65, 64, 64$ and round it to the nearest tenth.

Find the travel time $x$ such that $17.36\%$ of Abby's 60 days have a travel time of at least $x$ , given mean $35.6$ and SD $10.3$ . Round to two decimal places.

Find the probability that a standard normal variable $Z$ is between -0.67 and 1.67. Round to three decimal places.

Find the travel time $x$ such that 17.3% of Abby's 60 days have a travel time of at least $x$ , given mean $35.6$ and SD $10.3$ .

What percent of the $N(161.61,48.95)$ distribution is below 100? Round your answer to two decimal places.

Find the percentage of 2016 vehicles with better gas mileage than the 2016 VW Beetle's $28 \mathrm{mpg}$ , given mean $23.0 \mathrm{mpg}$ and SD $4.9 \mathrm{mpg}$ . Round to two decimal places.

Find the proportion of rainy days with $\mathrm{pH}$ below 5.0, given a Normal distribution with mean 5.43 and SD 0.54.

Find the average cost of room and board in 2017 using $f(x)=945x+3048$ and $g(x)=3877 e^{0.132x}$ . Which model is better?

Find the positive value of $z$ such that $95\%$ of the area under the standard normal curve is between $-z$ and $z$ , to two decimal places.

For a distribution $N(5.43,0.54)$ , find the proportion of observations less than 5.05 and 5.79, rounded to four decimal places.

Find the median and mean of the data set: 18, 18, 12, 47, 10. Median = $\square$ , Mean = $\square$ .

Estimate the mean age at first child birth using $f(x)=24 x^{0.043}$ for the years 2010, 2014, and 2018.

Calculate Jason's GPA based on his 15 credit hours and grades: A (5), A (4), B (3), B (2), B (1) using $A=4, B=3$ .

Which of the following items is the most demand elastic?
Residential land
Restaurant meals
Motor Vehicles Shoes

14
Uung the Venn Dragram below, the value of P(AUC) is?
a None of chorices
a 0.73 C 0.88 d. 032 e. $a_{62}$

burvinin 7 Morinet thentrod Time left 0.45 .55 Plag queritan a 0992
b. None of the choices
c 0892 d 0.012