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Problem 1501

37. The table shows how many magazines three co-workers sold in one month. How many magazines did they sell in total? 4.NBT.A \begin{tabular}{|l|c|} \hline Name & \begin{tabular}{l} Number of \\ Magazines \end{tabular} \\ \hline Julie & 12 \\ \hline Dion & 0 \\ \hline Calvin & 7 \\ \hline \end{tabular}
402 Need more practice? Download more Extra Practice at connectED.mograw-hill.com.

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Problem 1502

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 1503

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 1504

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 1505

\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 1506

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 1507

Find the slope, $y$ -intercept, and equation of the line for the values: (1, 9), (2, 16), (3, 23), (4, 30).

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Problem 1508

Calculate and round the following with proper significant figures and units:
a) $9.0 \mathrm{~cm}+10.38 \mathrm{~cm}$ b) $3.6 \mathrm{~g} / 3 \mathrm{~mL}$ c) $12.01 \mathrm{~m} \times 4.0 \mathrm{~m}$ d) $59 \mathrm{~mL}-58.38 \mathrm{~mL}$ e) $24 \mathrm{~g} / 2.02 \mathrm{~mL}$ f) $10 \mathrm{~cm} \times 5.5 \mathrm{~cm} \times 18 \mathrm{~cm}$ g) $\left(3.26 \times 10^{-2}\right) \times\left(5.7 \times 10^{-8}\right)$ h) $2.34 \times 10^{3}+5.6 \times 10^{3}$ i) $1.23 \times 10^{5} \div 4.5 \times 10^{-2}$

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Problem 1509

Find the slope, $y$ -intercept, and equation of the line for points (5, -8), (10, -12), (15, -16), (20, -20).

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Problem 1510

Find the slope, $y$ -intercept, and equation for the points (16, -1), (12, -2), (8, -3), (4, -4).

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Problem 1511

How many neutrons are in a Cerium atom with an atomic mass of 140?

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Problem 1512

Find the slope, $y$ -intercept, and equation of the line through points (-6, 17), (-2, 11), (2, 5), (6, -1).

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Problem 1513

How many neutrons are in an Oxygen atom with atomic number 16?

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Problem 1514

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 1515

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 1516

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

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Problem 1517

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 1518

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 1519

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 1520

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 1521

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 1522

Calculate the following: $5 - \frac{1}{5}$ , $25 \frac{1}{5}$ , $8(2 + 7)$ , $7 + 2 \cdot 4$ , and $8 \div 4 \times 2$ .

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Problem 1523

Fill in missing values for the function mapping: 1 to 6, 4 to 16, 7 to $\frac{128}{3}$ . Find the function's equation.

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Problem 1524

Determine if the function defined by the points (4, 96), (5, 150), (6, 216), (7, 294), (8, 384) is linear, quadratic, or exponential.

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Problem 1525

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

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Problem 1526

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 1527

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

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Problem 1528

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.

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Problem 1529

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

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Problem 1530

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

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Problem 1531

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

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Problem 1532

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 1533

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

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Problem 1534

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 1535

Calculate the number of events $\mathbf{D}$ when total expenses are R4250 using $3000 + (250 \times \text{events})$ .

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Problem 1536

Identify the rule from the table:
1. $y=4x$
2. $y=x+3$
3. $y=x^2+3$
4. $y=4x^2$

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Problem 1537

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. $\frac{1}{2}$

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Problem 1538

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 1539

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

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Problem 1540

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

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Problem 1541

Mr. LePage bought a truck for \ $25,000. What does the$ y$-intercept represent in the truck value graph? A) Years of value drop B) Annual decrease C) Value after 6 years D) Original truck value

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Problem 1542

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

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Problem 1543

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.

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Problem 1544

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.

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Problem 1545

Find the percentage of the world population living in India for 2030 and 2050, rounding to one decimal place. Use $9,117.90$ for world in 2050 and $1,456.50$ for India in 2030.

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Problem 1546

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 1547

College students are randomly selected and arranged in groups of three. The random variable $x$ is the number in the group who say that they take one or more online courses. Determine whether a probability distribution is given. If a probability distribution is given, find its mean and standard deviation. If a probability distribution is not given, identify the requirements that are not satisfied. \begin{tabular}{c|c} \hline $\mathbf{x}$ & $\mathbf{P ( x )}$ \\ \hline 0 & 0.102 \\ \hline 1 & 0.356 \\ \hline 2 & 0.396 \\ \hline 3 & 0.146 \\ \hline \end{tabular}
Does the table show a probability distribution? Select all that apply. A. Yes, the table shows a probability distribution. B. No, the numerical values of the random variable $x$ are not associated with probabilities. C. No, the random variable $x$ is categorical instead of numerical. D. No, the sum of all the probabilities is not equal to 1 . E. No, not every probability is between 0 and 1 inclusive.

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Problem 1548

In a survey, cell phone users were asked which ear they use to hear their cell phone, and the table is based on their responses. Determine whether a probability distribution is given. If a probability distribution is given, find its mean and standard deviation. If a probability distribution is not given, identify the requirements that are not satisfied. \begin{tabular}{|l|l} \hline & $P(x)$ \\ \hline Left & 0.6362 \\ \hline Right & 0.304 \\ \hline \begin{tabular}{l} No \\ preference \end{tabular} & 0.0598 \\ \hline \end{tabular}
Does the table show a probability distribution? Select all that apply. A. Yes, the table shows a probability distribution. B. No, the sum of all the probabilities is not equal to 1. C. No, the random variable x is categorical instead of numerical. D. No, not every probability is between 0 and 1 inclusive. E. No, the numerical values of the random variable $x$ are not associated with probabilities.

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Problem 1549

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 1550

Video (b)
Complete the expressions and select the missing property. Write each answer as a number, a variable, or the product of a number and a variable. \begin{tabular}{|l|l|} & $p+p+p$ \\ $=$ & $1 p+\square p+1 p$ \\ $=$ & Identity property of multiplication \\ $=$ & $\square p$ \\ $\square$ & Add \end{tabular}

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Problem 1551

Video (b)
Complete the expressions and select the missing property. Write each answer as a number, a variable, or the product of a number and a variable. \begin{tabular}{|l|l|} & $p+p+p$ \\ $=$ & $1 p+\square p+1 p$ \\ $=$ & Identity property of multiplication \\ $=$ & $\square p$ \\ $\square$ & Add \end{tabular}

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Problem 1552

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 1553

A table of values of a linear function is shown below. \begin{tabular}{|c|c|c|c|c|c|} \hline $x$ & -1 & 0 & 1 & 2 & 3 \\ \hline $y$ & -7 & -8 & -9 & -10 & -11 \\ \hline \end{tabular}
Find the slope and $y$ -intercept of the function's graph, and find the \begin{tabular}{|ll|} \hline slope: & $\square$ \\ $y$ -intercept: & $\square$ \\ equation: & $\square$ \\ \hline \end{tabular}

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Problem 1554

Module Checkpoint
Cearning Goal from Lesson 6 - I can determine if a relation is a function. I can represent a function using a graph and table.
Lesson Reflection (circle one)
Determine whether each table represents a function. Select Function or Not a Function for each. (1 point)
18. Table \begin{tabular}{|c|c|c|c|c|} \hline $x$ & -2 & -2 & 4 & 10 \\ \hline $y$ & 5 & 7 & 9 & -11 \\ \hline \end{tabular} Function Not a Function \begin{tabular}{|c|c|c|c|c|} \hline $x$ & 3 & 6 & 8 & 12 \\ \hline $y$ & -2 & -8 & 2 & -8 \\ \hline \end{tabular} \begin{tabular}{|c|c|c|c|c|} \hline $x$ & 1 & 7 & 3 & 1 \\ \hline $y$ & -4 & -11 & 5 & 12 \\ \hline \end{tabular} \begin{tabular}{|c|c|c|c|c|} \hline $x$ & 2 & -2 & 7 & 12 \\ \hline $y$ & 3 & 3 & 3 & 3 \\ \hline \end{tabular}
Which of the following could be a function? Select three that apply. ( $1 / 2$ point) 19. 69 lifelong Algebra 1A (2024) Module 2

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Problem 1555

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 1556

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 1557

For the data below, determine the chi-squared value. Enter your value. Observed: 48 Expected: 50

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Problem 1558

The accompanying data represent the approximate population, in millions, of the 20 most populous cities in the world. \begin{tabular}{|c|c|c|c|c|} \hline 13.3 & 12.1 & 10.3 & 8.3 & 7.2 \\ \hline 13.1 & 10.8 & 10.2 & 8.2 & 7.1 \\ \hline 12.9 & 10.7 & 8.8 & 8.1 & 6.9 \\ \hline 12.8 & 10.5 & 8.5 & 7.7 & 6.6 \\ \hline \end{tabular}
Use these data to construct a frequency distribution with a first class of $6.5-7.5$ . Fill in the missing classes an frequency for each class below. \begin{tabular}{|c|c|} \begin{tabular}{c} Population \\ (millions of people) \end{tabular} & Number of Cities \\ \hline $6.5-7.5$ & $\square$ \\ \hline $\square-\square$ & $\square$ \\ \hline $9-\square-10.8$ & $\square$ \\ \hline $10.9-11.9$ & $\square$ \\ \hline $\square-\square$ & $\square$ \\ \hline \end{tabular}

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Problem 1559

The tables below represent a function $C$ that converts ounces to pints and a function $Q$ that converts pints to quarts. Complete parts (a) through (c) below. \begin{tabular}{|r|c|c|c|c|} \hline $\mathbf{x}(\mathbf{o z})$ & 16 & 48 & 80 & 112 \\ \hline $\mathbf{C}(\mathbf{x})(\mathrm{pt})$ & 1 & 3 & 5 & 7 \\ \hline \end{tabular} \begin{tabular}{|r|c|c|c|c|} \hline $\mathbf{x}(\mathbf{p t})$ & 1 & 3 & 5 & 7 \\ \hline $\mathbf{Q}(\mathbf{x})(\mathbf{q t})$ & 0.5 & 1.5 & 2.5 & 3.5 \\ \hline \end{tabular} (a) Evaluate $(Q \circ C)(16)$ and interpret the results. Select the correct choice below and, if necessary, fill in the answer box to complete your choice. A. $(Q \circ C)(16)=$ $\square$ represents the number of quartsin $160 z$ . B. $(Q \circ C)(16)=$ $\square$ represents the number of pintsin $160 z$ . C. $(Q \circ C)(16)=$ $\square$ represents the number of ouncesin $16 q t$ . D. $(Q \circ C)(16)$ cannot be evaluated, which means that 16 oz cannot be converted to quarts. Get more help Clear all Skill builder Check answer

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Problem 1560

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 1561

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 1562

. 2 Homework Question 8, 6.2.33 HW Score: 70\%, Part 1 of 2 Points: 0 of 3
The following table shows the average new car transaction price in the USA as a percentage of disposable income. \begin{tabular}{|c|c|c|} \hline & Year & \% of Disposable Income \\ \hline 1960 & 0 & 43 \\ 1975 & 15 & 77 \\ 1983 & 23 & 85 \\ \hline \end{tabular} (A) Find a quadratic function $f(x)=a x^{2}+b x+c$ that fits the data, where $x$ represents the number of years after 1960. $f(x)=\square x^{2}+3.1 x+43$ (Round to three decimal places as needed.)

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Problem 1563

ABC Company showed the following information relating to employees' salaries for the month of October 2021. \begin{tabular}{|l|r|} \hline Gross Wages & $\$ 4,580.00$ \\ \hline Income Taxes & $\$ 916.00$ \\ \hline Canada Pension Plan Contributions & $\$ 234.00$ \\ \hline Employment Insurance Contributions & $\$ 72.00$ \\ \hline \end{tabular}
Note: The company matches 100\% of employees' CPP and 140\% of employees' EI.
Required a) Calculate the company's total expense.
Do not enter dollar signs or commas in the input boxes. Round all answers to 2 decimal places. \begin{tabular}{|l|l|} \hline Gross Wages & $\$ 4580.00$ \\ \hline Canada Pension Plan - company's share & $\$ 234.00$ \\ \hline Employment Insurance - company's share & $\$ 100.80$ \\ \hline Total Expense & $\$ 4914.80$ \\ \hline \end{tabular} b) Calculate the employee's net pay.
Use the negative sign for values that must be subtracted. \begin{tabular}{|l|l|} \hline Gross Pay & \\ \hline Income Taxes & \\ \hline Canada Pension Plan & \\ \hline Employment Insurance $\$$ \\ \hline Net_Pay \\ \hline \end{tabular}

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Problem 1564

Use the table to answer 13-14. \begin{tabular}{|l|c|} \hline \multicolumn{1}{|c|}{ Denver to... } & Round Trip Distance (miles) \\ \hline Cheyenne & 202 \\ \hline Albuquerque & 890 \\ \hline Las Vegas & 1,498 \\ \hline \end{tabular}
13. Write an expression to show how much longer the round trip to Las Vegas is than the round trip to Cheyenne. How many terms does the expression have? $\square$ (Use the operation symbols in the math palette as needed. Do not simplify.)

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Problem 1565

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 1566

invested at $3.5 \%$ interest for 8 yr under the following compounding options. Round answers in the second column to the nearest whole number. Round answers in the last column to the nearest cent. \begin{tabular}{|l|l|c|c|} \hline & Compounding Option & $n$ Value & Result \\ \hline (a) & Annually & $n=\square$ & $\$ \square$ \\ \hline (b) & Quarterly & $n=\square$ & $\$ \square$ \\ \hline (c) & Monthly & $n=\square$ & $\$ \square$ \\ \hline (d) & Daily & $n=365$ & $\$ \square$ \\ \hline (e) & Continuously & Not Applicable & $\$ \square$ \\ \hline \end{tabular} Check Save For Later Submit Assignment

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Problem 1567

$\mathrm{H}_{2} \quad \mathrm{HI} \quad \mathrm{C}_{2} \mathrm{H}_{5} \mathrm{OH}$ \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 1568

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 1569

\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 1570

A stats instructor claims that their proportion of grades A's, B's, C's, and D's (this particular instructor doesn't give Fs) is as follows: $H_{o}: p_{A}=0.3 ; p_{B}=0.2 ; p_{C}=0.2 ; p_{D}=0.3$
Use a 0.005 significance level to test the instructor's claim. Complete the table. Report all answers accurate to three decimal places. \begin{tabular}{|c|l|ll||} \hline Category & \begin{tabular}{c} Observed \\ Frequency \end{tabular} & \multicolumn{1}{|c|}{\begin{tabular}{c} Expected \\ Frequency \end{tabular}} \\ \hline \hline A & 39 & 41.7 & $\checkmark$ \\ \hline B & 32 & $\sigma^{6}$ \\ \hline \hline C & 38 & 27.8 & $\checkmark$ \\ \hline \end{tabular}
What is the chi-square test-statistic for this data? $\chi^{2}=7.732 \quad x$
What is the Critical Value? C. V . $=$ 12.838 $\square$

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Problem 1571

A questionnaire was given to students in an introductory statistics class during the first week of the course. One question asked, "How stressed have you been in the last $2 \frac{1}{2}$ weeks, on a scale of 0 to 10, with 0 being not at all stressed and 10 being as stressed as possible?" The students' responses are shown in the frequency distribution below. How many students were involved in the study?
Click the icon to view the frequency distribution. Frequency Distribution \begin{tabular}{|c|c|} \hline Stress Rating & Frequency \\ \hline 0 & 5 \\ \hline 1 & 3 \\ \hline 2 & 4 \\ \hline 3 & 15 \\ \hline 4 & 12 \\ \hline 5 & 17 \\ \hline 6 & 11 \\ \hline 7 & 21 \\ \hline 8 & 24 \\ \hline 9 & 14 \\ \hline 10 & 17 \\ \hline \end{tabular}

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Problem 1572

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 1573

You are conducting a multinomial hypothesis test $(\alpha=0.05)$ for the claim that all 5 categories are equally likely to be selected. Complete the table. \begin{tabular}{|c|c|c|c|} \hline Category & \begin{tabular}{l} Observed \\ Frequency \end{tabular} & \begin{tabular}{l} Expected \\ Frequency \end{tabular} & $\frac{(O-E)^{2}}{E}$ \\ \hline A & 6 & & \\ \hline B & 17 & & \\ \hline C & 6 & & \\ \hline D & 16 & & \\ \hline E & 18 & & \\ \hline \end{tabular}
Report all answers accurate to three decimal places. But retain unrounded numbers for future calculations.
What is the chi-square test-statistic for this data? (Report answer accurate to three decimal places, and remember to use the unrounded Pearson residuals in your calculations.) $\chi^{2}=$ $\square$ What are the degrees of freedom for this test?

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Problem 1574

Savvas Realize Preview attachment...
You are conducting a multinomial hypothesis test $(\alpha=0.05$ ) for the claim that all 5 categories are equally likely to be selected. Complete the table. \begin{tabular}{|c|c|c|c|c|c|c|} \hline Category & Observed Frequency & \multicolumn{2}{|r|}{\begin{tabular}{l} Expected \\ Frequency \end{tabular}} & \multicolumn{3}{|l|}{ $\frac{(O-E)^{2}}{E}$ } \\ \hline A & 6 & 12.6 & & 3.457 & $\checkmark$ & 0 \\ \hline B & 17 & 12.6 & & 1.537 & $\checkmark$ & $0^{8}$ \\ \hline C & 6 & 12.6 & & 3.457 & $\checkmark$ & 06 \\ \hline D & 16 & 12.6 & & 0.917 & $\checkmark$ & 06 \\ \hline E & 18 & 12.6 & $\checkmark 0$ & 2.314 & $\checkmark$ & 06 \\ \hline \end{tabular}
Report all answers accurate to three decimal places. But retain unrounded numbers for future calculations.
What is the chi-square test-statistic for this data? (Report answer accurate to three decimal places, and remember to use the unrounded Pearson residuals in your calculations.) $\chi^{2}=11.682 \quad \checkmark 0^{\infty}$
What are the degrees of freedom for this test? d.f. $=$ $\square$ 4 0
What is the $p$ -value for this sample? (Report answer accurate to four decimal places.) p -value = $\square$ It may be best to use the =CHIDIST( ) function in a Spreadsheet to do this calculation. The $p$ -value is...

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Problem 1575

You are conducting a multinomial hypothesis test ( $\alpha=0.05$ ) for the claim that all 5 categories are equally likely to be selected. Complete the table. \begin{tabular}{|c|c|c|c|} \hline Category & Observed Frequency & Expected Frequency & $\frac{(O-E)^{2}}{E}$ \\ \hline A & 20 & & \\ \hline B & 13 & & \\ \hline C & 12 & & \\ \hline D & 8 & & \\ \hline E & 24 & & \\ \hline \end{tabular}
Report all answers accurate to three decimal places. But retain unrounded numbers for future

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Problem 1576

This problem tests calculating new functions from old ones. From the table below calculate the quantities asked for: \begin{tabular}{|ccccccc|} \hline $x$ & 22 & 1 & -2 & -68 & 2 & 3 \\ $f(x)$ & 10187 & 2 & -13 & -319123 & 7 & 22 \\ $g(x)$ & -22241 & -2 & 7 & 619549 & -21 & -68 \\ \hline \end{tabular} $\begin{array}{l} g(f(3))=\square \\ (f g)(1)=\square \\ (f+g)(3)=\square \end{array}$

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Problem 1577

age of of 19 VUAises
YUAssess question 3 Notyot answered
A student obtains the following data for a sample of $\mathrm{SrCl}_{2}, \mathrm{nH}_{2} \mathrm{O}$ 27.29 g
Mass of crucible: Mass of crucible and hydrate: 28.56 g
Mass of crucible and anhydrous residue after heating: 28.05 g
The correct formula of the hydrate is: $\mathrm{SrCl}_{2} 3 \mathrm{H}_{2} \mathrm{O}$ $\mathrm{SrCl}_{2} .4 \mathrm{H}_{2} \mathrm{O}$ $\mathrm{SrCl}_{2} \cdot 6 \mathrm{H}_{2} \mathrm{O}$ $\mathrm{SrCl}_{2} .7 \mathrm{H}_{2} \mathrm{O}$

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Problem 1578

THIS IS A PRACTICE TEST 9 Mark for Review \begin{tabular}{|c|c|c|} \hline Value & \begin{tabular}{c} Data set A \\ frequency \end{tabular} & \begin{tabular}{c} Data set B \\ frequency \end{tabular} \\ \hline 30 & 2 & 9 \\ \hline 34 & 4 & 7 \\ \hline 38 & 5 & 5 \\ \hline 42 & 7 & 4 \\ \hline 46 & 9 & 2 \\ \hline \end{tabular}
Data set A and data set B each consist of 27 values. The table shows the frequencies of the values for each data set. Which of the following statements best compares the means of the two data sets?
A The mean of data set $A$ is greater than the mean of data set $B$ .
B The mean of data set $A$ is less than the mean of data set $B$ . (C) The mean of data set $A$ is equal to the mean of data set $B$ . (D) There is not enough information to compare the means of the data sets.

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Problem 1579

The following table shows the quantity of molecules used as respiratory substrates during enzyme-controlled reactions. \begin{tabular}{|c|c|} \hline Substance & \begin{tabular}{c} Average quantity used \\ per day (units) \end{tabular} \\ \hline Glucose & 78 \\ \hline Amino acids & 45 \\ \hline Glycogen & 60 \\ \hline Fatty acids & 62 \\ \hline \end{tabular}
Calculate the percentage decease in the average quantity used per day between glucose and glycogen.
Space for working $\qquad$ \% decrease Calculate the simplest whole number ratio of average quantity used per day for glycoger compared to amino acids. $\qquad$ $\qquad$

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Problem 1580

2. Consider the following frequency distribution \begin{tabular}{|l|l|l|c|l|l|l|l|} \hline Class & $15-19$ & $20-24$ & $25-29$ & $30-34$ & $35-39$ & $40-44$ & $45-49$ \\ \hline Frequency & 10 & 22 & $f_{1}$ & 40 & $f_{2}$ & 18 & 12 \\ \hline \end{tabular}
The total frequency is 160 and the modal value is 31.0909 . Find; i) The value of $f_{1}$ and $f_{2}$ ii) Mode iii) Median iv) Coefficient of Quartile deviation v) Mean vi) Mean Absolute deviation vii) Standard deviation

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Problem 1581

Part 1 of 4 HW Score: 32.14\%, 32.14 of 100 points Points: 5.14 of 6 Save
Listed below in order are prices in dollars for a Big Mac hamburger in the United States, Canada, Mexico, China, Japan, Russia, Switzerland, Italy, Spain, Britain, Indla, and Egypt. Such data are used to compare currency exchange rates and the costs of goods in different countries. Find the range, variance, and standard deviation for the given sample data. What do the measures of variation tell us about the prices of a Big Mac in different countries? $\begin{array}{llllllllllll} 5.30 & 5.27 & 2.57 & 3.20 & 3.35 & 2.30 & 6.79 & 5.06 & 4.76 & 4.37 & 2.82 & 1.86 \end{array}$
The range is $\square$ dollars. (Type an integer or decimal rounded to two decimal places as needed.)

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Problem 1582

(Aufmann) Route Planning: Brian needs to visit the pet store, the shopping mall, the local farmers market and the pharmacy. His estimated driving times (in minutes) between the locations are given the table below. Use the greedy algorithm and the edge-picking algorithm to find two possible routes, starting and ending at home, that will help Brian minimize his total travel time. \begin{tabular}{|c|c|c|c|c|c|} \hline & Home & Petstore & \begin{tabular}{l} Shopping \\ mall \end{tabular} & Farmers market & Pharmacy \\ \hline Home & - & 18 & 27 & 15 & 8 \\ \hline Pet stary & 18 & - & 24 & 22 & 10 \\ \hline Shopping mall & 27 & 24 & - & 20 & 32 \\ \hline Farmer: market. & 15 & 22 & 20 & - & 22 \\ \hline Pharmacy & 8 & 10 & 32 & 22 & - \\ \hline \end{tabular}

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Problem 1583

What is the total amount of money being added to the account in the table of deposits shown below? \begin{tabular}{|l|r|} \hline \multicolumn{1}{|c|}{ Deposits } & \multicolumn{1}{c|}{ Amount } \\ \hline Incoming ACH & $\$ 1874.79$ \\ \hline Incoming Phone Transfer & $\$ 23.82$ \\ \hline Incoming App Transfer & $\$ 65.79$ \\ \hline Check Mobile Deposit & $\$ 24.19$ \\ \hline \end{tabular} \$[?]

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Problem 1584

What is the total amount of money being added to the account in the table of deposits shown below? \begin{tabular}{|l|r|} \hline \multicolumn{1}{|c|}{ Deposits } & \multicolumn{1}{c|}{ Amount } \\ \hline Incoming ACH & $\$ 2185.60$ \\ \hline Incoming Phone Transfer & $\$ 23.03$ \\ \hline Incoming App Transfer & $\$ 60.51$ \\ \hline Check Mobile Deposit & $\$ 21.44$ \\ \hline \end{tabular} ?

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Problem 1585

4 Homework Question 12, 1.4.69-GC Part 1 of 3
The table lists the average tuition and fees at private colleges and universities for selected years. \begin{tabular}{|c|c|c|c|c|c|} \hline Year & 1985 & 1990 & 1995 & 2000 & 2008 \\ \hline \begin{tabular}{c} Tuition and \\ Fees \\ (in dollars) \end{tabular} & 5413 & 9397 & 12,404 & 16,208 & 25,143 \\ \hline \end{tabular} (a) Find the equation of the least-squares regression line that models the data. $\mathrm{y} \approx \square$ (Type the slope as a decimal rounded to three decimal places. Round the $y$ -intercept to the nearest integer.)

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Problem 1586

Hospital Emergency Waiting Times The mean of the waiting times in an emergency room is 124 minutes with a standard deviation of 8.9 minutes for people who are admitted for additional treatment. The mean waiting time for patients who are discharged after receiving treatment is 105 minutes with a standard deviation of 9.3 minutes. Which times are more variable?
Part: $0 / 2$ $\square$
Part 1 of 2
Calculate the coefficient of variation. Round your answers to one decimal place.
Additional treatment CVar : $\square$ $\%$
Discharged CVar: $\square$ \%

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Problem 1587

Given two independent random samples with the following results: $\begin{array}{ll} n_{1}=16 & n_{2}=8 \\ \bar{x}_{1}=152 & \bar{x}_{2}=125 \\ s_{1}=14 & s_{2}=11 \end{array}$
Use this data to find the $98 \%$ confidence interval for the true difference between the population means. Assume that the population variances are equal and that the two populations are normally distributed. Copy Data
Step 1 of 3: Find the point estimate that should be used in constructing the confidence interval.
Answer How to enter your answer (opens in new window) Tables Keypad Keyboard Shortcuts

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Problem 1588

Given two independent random samples with the following results: $\begin{array}{ll} n_{1}=8 & n_{2}=12 \\ \bar{x}_{1}=112 & \bar{x}_{2}=134 \\ s_{1}=16 & s_{2}=28 \end{array}$
Use this data to find the $99 \%$ confidence interval for the true difference between the population means. Assume that the population variances are not equal and that the two populations are normally distributed. Copy Data
Step 1 of 3 : Find the point estimate that should be used in constructing the confidence interval.
Answer How to enter your answer (opens in new window) Tables Keypad Keyboard Shortcuts

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Problem 1589

Following are heights, in inches, for a sample of college basketball players. $\begin{array}{llllllllllllllllllll} 84 & 88 & 86 & 85 & 70 & 75 & 72 & 86 & 78 & 81 & 86 & 78 & 81 & 72 & 73 & 76 & 77 & 87 & 88 & 84 \end{array}$
Send data to Excel Find the sample standard deviation for the heights of the basketball players. 80.4 6.0 18.0 5.8

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Problem 1590

2-3 Additional Practice Scan for Multimedia
1. At a café, the cook uses a recipe that calls for eggs and milk. The amounts of eggs and milk have a proportional relationship. Complete the table. \begin{tabular}{|l|l|l|l|} \hline Number of Eggs & 2 & 3 & 4 \\ \hline Cups of Malls & 6 & & 12 \\ \hline $\frac{\text { Mills }}{\text { Sggs }}$ & & $\frac{3}{1}$ & $\frac{3}{1}$ \\ \hline \end{tabular}

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Problem 1591

\begin{tabular}{|c|c|} \hline Ages & Number of students \\ \hline \hline $15-18$ & 9 \\ \hline $19-22$ & 7 \\ \hline $23-26$ & 6 \\ \hline $27-30$ & 4 \\ \hline $31-34$ & 2 \\ \hline $35-38$ & 8 \\ \hline \end{tabular}
Based on the frequency distribution above, find the relative frequency for the class with a lower class limit of 23
Give your answer as a percent, rounded to 1 place after the decimal point, if necessary. Type only a number in the answer box (do NOT type "\%" after your answer).
Relative Frequency = $\square$ \%

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Problem 1592

5 a) 30 Kinder der 5 c haben die Länge einer Strecke an der Tafel auf cm genau geschätzt: $98 ; 92 ; 66 ; 68 ; 74 ; 87 ; 65 ; 75 ; 91 ; 91 ; 94 ; 77 ; 60 ; 82 ; 92 ; 84 ; 95 ; 86 ; 74 ; 87 ; 95 ; 59 ; 77 ; 77 ; 64 ; 72 ; 85 ; 72$ ; 74; 84. Bestimmen Sie die Standardabweichung $s$ der Schätzwerte. b) Welche Länge hat die Strecke vermutlich in Wirklichkeit (zwischen ... und ...cm)? c) Bestimmen Sie, welcher Anteil der Schätzwerte weniger als eine Standardabweichung vom Mittelwert entfernt liegt.

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Problem 1593

20 On donne $f(x)=2 x^{2}$ . - Recopier et compléter le tableau ci-dessous. \begin{tabular}{|c|c|c|c|c|} \hline $x$ & 0 & -1 & 2 & -2 \\ \hline $f(x)$ & & & & \\ \hline \end{tabular}

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Problem 1594

$\text{Generate the Simple Linear Regression Output using Excel for Sales } (Y) \text{ and Advertising } (X) \text{ and answer the following questions.}$
$\text{Using the regression line obtained from the output, predict the mean sales } (Y) \text{ for an advertising cost } (X) \text{ of } \$750. \text{ (Round to two decimal places)}$
$\text{The user took a picture with their phone and the text was extracted above. The user then had a dialogue with an AI Assistant to help clarify the instructions.}$
$\text{Dialogue Transcript:}$
$\text{Hello! To help you predict the mean sales for an advertising cost of } \$750 \text{ using a Simple Linear Regression model, I'll need the regression equation from your Excel output. This typically looks like:}$
$Y = a + bX$
$\text{Where:}$
\begin{align} & Y \text{ is the mean sales.} \\ & X \text{ is the advertising cost.} \\ & a \text{ is the intercept.} \\ & b \text{ is the slope.} \\ \end{align}
$\text{Could you please provide the values of } a \text{ (the intercept) and } b \text{ (the slope) from your regression output? That way, I can help you solve the problem accurately.}$
$\text{Extracted text from attached image:}$
$\begin{array}{|c|c|c|} \hline & \text{Sales} & \text{Advertisi} \\ \hline 1 & (Y) & \text{ng (X)} \\ \hline 2 & 158.4 & 400 \\ \hline 3 & 160.4 & 420 \\ \hline 4 & 163.4 & 440 \\ \hline 5 & 167.4 & 461 \\ \hline 6 & 172.4 & 482 \\ \hline 7 & 178.4 & 504 \\ \hline 8 & 185.4 & 527 \\ \hline 9 & 193.4 & 550 \\ \hline 10 & 202.4 & 573 \\ \hline 11 & 212.4 & 597 \\ \hline 12 & 223.4 & 622 \\ \hline 13 & 235.4 & 647 \\ \hline 14 & 248.4 & 672 \\ \hline 15 & 262.4 & 698 \\ \hline 16 & 277.4 & 724 \\ \hline 17 & 293.4 & 751 \\ \hline 18 & 310.4 & 779 \\ \hline 19 & 328.4 & 807 \\ \hline 20 & 347.4 & 835 \\ \hline 21 & 367.4 & 864 \\ \hline 22 & 388.4 & 893 \\ \hline 23 & 410.4 & 923 \\ \hline 24 & 433.4 & 954 \\ \hline 25 & 457.4 & 985 \\ \hline 26 & 482.4 & 1016 \\ \hline 27 & 508.4 & 1048 \\ \hline 28 & 535.4 & 1080 \\ \hline 29 & 563.4 & 1113 \\ \hline 30 & 592.4 & 1147 \\ \hline 31 & 622.4 & 1180 \\ \hline 32 & 653.4 & 1215 \\ \hline 33 & 685.4 & 1250 \\ \hline 34 & 718.4 & 1285 \\ \hline 35 & 752.4 & 1321 \\ \hline & \end{array}$

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Problem 1595

Question Watch Video Show Examples
Given the function defined in the table below, find the average rate of change, in simplest form, of the function over the interval $2 \leq x \leq 8$ . \begin{tabular}{|c|c|} \hline $x$ & $f(x)$ \\ \hline 2 & 7 \\ \hline 4 & 15 \\ \hline 6 & 31 \\ \hline 8 & 55 \\ \hline 10 & 87 \\ \hline \end{tabular}
Answer Attempt 1 out of 2 $\square$ Submit Answer

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Problem 1596

Question Watch Video Show Examples
Given the function defined in the table below, find the average rate of change, in simplest form, of the function over the interval $12 \leq x \leq 30$ . \begin{tabular}{|c|c|} \hline $x$ & $f(x)$ \\ \hline 3 & 52 \\ \hline 12 & 40 \\ \hline 21 & 28 \\ \hline 30 & 16 \\ \hline 39 & 4 \\ \hline 48 & -8 \\ \hline \end{tabular}
Answer Attempt 1 out of 2 $\square$ Submit Answer

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Problem 1597

A strain of bacteria is placed into a petri dish at $30^{\circ} \mathrm{C}$ and allowed to grow. The following data are collected. Theory states that the number of bacteria in the petri dish will initially grow according to the law of uninhibited growth. The population is measured using an optical device in which the amount of light that passes through the petri dish is measured. Complete parts (a)-(e). \begin{tabular}{|cc|} \hline Time (hours), $\mathbf{x}$ & Population, $\mathbf{y}$ \\ \hline 0 & 0.23 \\ \hline 2.5 & 0.43 \\ \hline 3.5 & 0.60 \\ \hline 4.5 & 0.80 \\ \hline 6 & 1.13 \\ \hline \end{tabular} (a) Treating time, x , as the predictor variable, use a graphing utility to fit an exponential function to the data. $\mathrm{y}=\mathrm{ab}^{\mathrm{x}}=\square$ (Round to four decimal places as needed.)

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Problem 1598

Use the tables to evaluate the following expressions, if possible. \begin{tabular}{|c|c|c|c|} \hline $x$ & -2 & 2 & 3 \\ \hline $f(x)$ & -2 & 2 & 1 \\ \hline \end{tabular} (a) $(f+g)(3)$ \begin{tabular}{|c|c|c|c|} \hline $\mathbf{x}$ & -2 & 2 & 3 \\ \hline $\mathbf{g}(\mathbf{x})$ & 0 & 4 & 3 \\ \hline \end{tabular} (c) $(g f)(-2)$ (b) $(f-g)(2)$ (d) $\left(\frac{f}{g}\right)(-2)$ (a) Select the correct choice below and, if necessary, fill in the answer box to complete your choice. A. $(f+g)(3)=$ $\square$ B. The answer is undefined.

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Problem 1599

Speeding Tickets A motorist claims that the South Boro Police issue an average of 60 speeding tickets per day. The following data show the number of speeding tickets issued each day for a period of one month. Assume $\sigma$ is 13.42 . Is there enough evidence to reject the motorist's claim at $\alpha=0.10$ ? Use the $P$ -value method. Assume the variable is normally distributed. \begin{tabular}{llllllll} 57 & 60 & 83 & 26 & 72 & 58 & 87 & 48 \\ 59 & 60 & 56 & 64 & 68 & 42 & 57 & 58 \\ 63 & 49 & 73 & 75 & 42 & 63 & 57 & 60 \\ 72 & 45 & & & & & & \end{tabular} Send data to Excel
Part: $0 / 5$
Part 1 of 5 (a) State the hypotheses and identify the claim. $\begin{array}{l} H_{0}: \square \text { (Choose one) } \nabla \\ H_{1}: \square \text { (Choose one) } \nabla \end{array}$
This hypothesis test is a (Choose one) $\boldsymbol{\nabla}$ test. $\square$

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Problem 1600

Bookwork code: 2C Calculator not allowed
The journey time from Waterloo to Dartford is always the same. Work out the time that goes in the gap. \begin{tabular}{|l|c|c|c|} \hline Train station & \multicolumn{3}{|c|}{ Time } \\ \hline Waterloo & $17: 25$ & $17: 45$ & $\square$ \\ \hline Bridge & $17: 31$ & $17: 55$ & $18: 09$ \\ \hline Lewisham & $17: 50$ & $18: 00$ & $18: 17$ \\ \hline Blackheath & $18: 02$ & $18: 10$ & $18: 29$ \\ \hline Dartford & $18: 30$ & $18: 50$ & $19: 10$ \\ \hline \end{tabular}

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Data

Problem 1501

Problem 1502

Problem 1503

Problem 1504

Problem 1505

\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 1506

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 1507

Find the slope, yyy-intercept, and equation of the line for the values: (1, 9), (2, 16), (3, 23), (4, 30).

Problem 1508

Problem 1509

Find the slope, yyy-intercept, and equation of the line for points (5, -8), (10, -12), (15, -16), (20, -20).

Problem 1510

Find the slope, yyy-intercept, and equation for the points (16, -1), (12, -2), (8, -3), (4, -4).

Problem 1511

How many neutrons are in a Cerium atom with an atomic mass of 140?

Problem 1512

Find the slope, yyy-intercept, and equation of the line through points (-6, 17), (-2, 11), (2, 5), (6, -1).

Problem 1513

How many neutrons are in an Oxygen atom with atomic number 16?

Problem 1514

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 1515

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 1516

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 1517

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 1518

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 1519

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 1520

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

Problem 1521

Problem 1522

Calculate the following: 5−155 - \frac{1}{5}5−51​, 251525 \frac{1}{5}2551​, 8(2+7)8(2 + 7)8(2+7), 7+2⋅47 + 2 \cdot 47+2⋅4, and 8÷4×28 \div 4 \times 28÷4×2.

Problem 1523

Fill in missing values for the function mapping: 1 to 6, 4 to 16, 7 to 1283\frac{128}{3}3128​. Find the function's equation.

Problem 1524

Determine if the function defined by the points (4, 96), (5, 150), (6, 216), (7, 294), (8, 384) is linear, quadratic, or exponential.

Problem 1525

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

Problem 1526

Reginald's quiz scores are 80,75,82,83,100,0,81,7580, 75, 82, 83, 100, 0, 81, 7580,75,82,83,100,0,81,75. 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.

Problem 1527

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

Problem 1528

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)(x, y) = (1, 9.6), (2, 6.3), (3, 2.8), (4, 8.73), (5, 5.9), (6, 1.2)(x,y)=(1,9.6),(2,6.3),(3,2.8),(4,8.73),(5,5.9),(6,1.2). Interpret the correlation coefficient.

Problem 1529

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

Problem 1530

Given the cost ccc for ppp pounds of chicken, which graph shows the proportional relationship between them?

Problem 1531

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

Problem 1532

Problem 1533

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

Problem 1534

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

Problem 1535

Calculate the number of events D\mathbf{D}D when total expenses are R4250 using 3000+(250×events)3000 + (250 \times \text{events})3000+(250×events).

Problem 1536

Identify the rule from the table: 1. y=4xy=4xy=4x2. y=x+3y=x+3y=x+33. y=x2+3y=x^2+3y=x2+34. y=4x2y=4x^2y=4x2

Problem 1537

Tamara spun a spinner 50 times. What fraction of the spinner's area is likely Red if it landed on Red 23 times? A. 150\frac{1}{50}501​ B. 123\frac{1}{23}231​ C. 14\frac{1}{4}41​ D. 12\frac{1}{2}21​

Problem 1538

Find a length for the 6th leaf that raises the mean but lowers the median. Options: A) 13.113.113.1 cm B) 13.313.313.3 cm C) 13.413.413.4 cm D) 13.713.713.7 cm.

Problem 1539

Which fruit amount has vitamin C closest to that in 505050 g of acerola cherries and 150150150 g of kiwifruit?

Problem 1540

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

Problem 1541

Mr. LePage bought a truck for \25,000.Whatdoesthe25,000. What does the 25,000.Whatdoesthey$-intercept represent in the truck value graph? A) Years of value drop B) Annual decrease C) Value after 6 years D) Original truck value

Problem 1542

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

Problem 1543

Problem 1544

\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

Find the slope, $y$ -intercept, and equation of the line for the values: (1, 9), (2, 16), (3, 23), (4, 30).

Find the slope, $y$ -intercept, and equation of the line for points (5, -8), (10, -12), (15, -16), (20, -20).

Find the slope, $y$ -intercept, and equation for the points (16, -1), (12, -2), (8, -3), (4, -4).

Find the slope, $y$ -intercept, and equation of the line through points (-6, 17), (-2, 11), (2, 5), (6, -1).

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 $Y = 3X + 2$ .

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?

Calculate the following: $5 - \frac{1}{5}$ , $25 \frac{1}{5}$ , $8(2 + 7)$ , $7 + 2 \cdot 4$ , and $8 \div 4 \times 2$ .

Fill in missing values for the function mapping: 1 to 6, 4 to 16, 7 to $\frac{128}{3}$ . Find the function's equation.

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.

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.

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

Calculate the number of events $\mathbf{D}$ when total expenses are R4250 using $3000 + (250 \times \text{events})$ .

Identify the rule from the table:
1. $y=4x$
2. $y=x+3$
3. $y=x^2+3$
4. $y=4x^2$

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. $\frac{1}{2}$

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.

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

Mr. LePage bought a truck for \ $25,000. What does the$ y$-intercept represent in the truck value graph? A) Years of value drop B) Annual decrease C) Value after 6 years D) Original truck value

Find the percentage of the world population living in India for 2030 and 2050, rounding to one decimal place. Use $9,117.90$ for world in 2050 and $1,456.50$ for India in 2030.

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