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MTH 214 Week 1 Checkpoint

The purpose of the MyMathLab® Checkpoint is to assess your understanding of weekly learning objectives.

Prerequisite Assignment: MyMathLab® Study Plan this week’s Checkpoint

Complete this week’s MyMathLab® Checkpoint.

1. Click the Quiz tab.
2. Click External Content Launch to access MyMathLab®.
3. Click Homework and Tests in MyMathLab® on the top left corner of the screen.
4. Click the Checkpoint for this week.

Note: You must earn at least 80% of the Mastery Points in the weekly MyMathLab® Study Plan before you may start the weekly Checkpoint.

It is highly recommended you earn all Mastery Points in the weekly MyMathLab® Study Plan Checkpoint. You have 1 attempt to complete the Weekly Checkpoints and do not have access to the Help Me Solve This or View an Example features.

Two dice are tossed 5858 times and the sums of the numbers are recorded in the table. Draw a bar graph for the data.

Frequency of Sums on Dice

Sums on Dice

Suppose there is a box containing 44 white ballsballs​, 77 black ballsballs​, and 88 red ballsballs. Is it possible to add the same number of balls of each color to the box so that when a ball is drawn at random the probability of the event that it is a black ball is the​ following? Explain.

1. one third

1

3

1. 0.360.36
2. Is it possible to add the same number of balls of each color to the box so that when a ball is drawn at random the probability of a black ball being drawn is one third

1

3​? Select the correct choice below​ and, if​ necessary, fill in the answer box to complete your choice.

A.

Adding

nothing balls of each color will cause the probability of drawing a black ball to be one third

1

3.

B.

It is not possible to add the same number of balls of each color so that the probability of drawing a black ball is one third

1

3.

Your answer is correct.

1. Is it possible to add the same number of balls of each color to the box so that when a ball is drawn at random the probability of a black ball being drawn is 0.360.36​? Select the correct choice below​ and, if​ necessary, fill in the answer box to complete your choice.

A.

Adding

22 balls of each color will cause the probability of drawing a black ball to be 0.360.36.

B.

It is not possible to add the same number of balls of each color so that the probability of drawing a black ball is 0.360.36.

To determine the number of deerdeer in a game preservegame preserve​, a forest rangerforest ranger catches 148148 deerdeer​, tags​ them, and releases them. Later 9393 deerdeer are​ caught, and it is found that 6464 of them are tagged. Estimate how many deerdeer there are in the game preservegame preserve.

The estimated number of deerdeer is approximately

215215. ​(Round to the nearest​ integer.)

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A student claims that if a fair coin is tossed and comes up heads 5 times in a​ row, then, according to the law of​ averages, the probability of tails on the next toss is greater than the probability of heads. What is your​ reply?

Choose the correct answer below.

A.

A fair coin has​ “no memory.”​ Hence, the probability of the event of a tail on each toss is

one fourth

1

4 regardless of how many tails appeared in previous tosses.

B.

The​ student’s claim is correct.

C.

A fair coin has​ “no memory.”​ Hence, the probability of the event of a tail on each toss is

one half

1

2 regardless of how many tails appeared in previous tosses.

Your answer is correct.D.

A fair coin has​ “no memory.”​ Hence, the probability of the event of a tail on each toss is

1 regardless of how many tails appeared in previous tosses.

A class of eighth graders undertook an ambitious project to compile the most dominant color of uniforms for all 463463 middle school sports teams in their state this year. The circle graph to the right shows the results. Approximately how many teams are represented in each​ sector?

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There are approximately

102102 teams represented by the sector labelled blackblack​, approximately

102102 teams represented by the sector labelled navy bluenavy blue​, approximately

7979 teams represented by the sector labelled whitewhite​, approximately

6969 teams represented by the sector labelled graygray​, approximately

3737 teams represented by the sector labelled maroonmaroon​, and approximately

7474 teams represented by the sector labelled otherother.

​(Simplify your answers. Round to the nearest whole​ number.)

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Merle says that there is no reason to practice drawing graphs because spreadsheets can be used to draw any images desired. How do you​ respond?

Choose the correct answer below.

A.

Spreadsheets cannot create every graph we​ want, so we need to understand graph creation for cases where the software fails.

B.

It is true that spreadsheets can create any graph we​ want, but we need to understand graph creation to utilize the software correctly.

Your answer is correct.C.

It is true that spreadsheets can create any graph we​ want, so there is no need to learn how to create graphs.

The graph shows the average age at which women in a certain country married for the first time from 1890 to 2010. Complete parts ​(a) through ​(c) below.

Women’s Average Age of First Marriage

1890

1900

1910

1920

1930

1940

1950

1960

1970

1980

1990

2000

2010

20

21

22

23

24

25

26

Year

Age

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A line graph titled Women’s Average Age of First Marriage has a horizontal axis labeled Year from 1890 to 2010 in increments of 10 and a vertical axis labeled Age from 20 to 26 in increments of 0.5. Line segments connect the following plotted points in order, where the year is listed first and the age is listed second: (1890, 22); (1900, 21.9); (1910, 21.7); (1920, 21.4); (1930, 21.6); (1940, 21.9); (1950, 20.7); (1960, 20.7); (1970, 20.9); (1980, 21.5); (1990, 23.3); (2000, 23.5); (2010, 23.8).

1. What was the approximate average age for​ women’s first marriage in 18901890​?

The average age for​ women’s first marriage in 18901890 was

22.

1. During which 10​-year period was there the greatest decrease in the average age of first​ marriage?

A.

1930 dash 19401930-1940

B.

​1960-1970

C.

1980 dash 19901980-1990

D.

1940 dash 19501940-1950

Your answer is correct.E.

​1920-1930

F.

​1910-1920

1. During which 10​-year period was there the greatest increase in the average age of first​ marriage?

A.

1990 dash 20001990-2000

B.

1940 dash 19501940-1950

C.

​2000-2010

D.

​1960-1970

E.

1980 dash 19901980-1990

Your answer is correct.F.

1970 dash 1980

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Anne has 99 unmarked computer disks in a​ box, where each is dedicated to exactly one of English comma sociologyEnglish, sociology​, SpanishSpanish​, mathematicsmathematics​, biology comma chemistrybiology, chemistry​, SAT preparation comma nbspSAT preparation, college applications nbspcollege applications and American history. If she chooses a computer disk at​ random, what is the probability that she chooses the mathematicsmathematics ​disk? What is the probability that she chooses a disk that is neither mathematicsmathematics nor American historyAmerican history​?

What is the probability that she chooses the mathematicsmathematics ​disk?

​P(mathematicsmathematics​)equals=

one ninth

1

9 ​(Type a simplified​ fraction.)

What is the probability that she chooses a disk that is neither mathematicsmathematics nor American historyAmerican history​?

The probability is

seven ninths

7

9. ​(Type a simplified​ fraction.)

The spinner shown on the right is spun.​ (Assume that the size of each sector is the​ same.) Find each probability.

​a) P(factor of 2121​)  ​ b) P(multiple of 77​)

A circular spinner is divided into eight equal sections numbered from 1 to 8.

1

2

3

4

5

6

7

8

​a) P(factor of 2121​)equals=

three eighths

3

8

​(Type an integer or a simplified​ fraction.)

​b) P(multiple of 77​)equals=

one eighth

1

8

​(Type an integer or a simplified​ fraction.

Use the pictograph to the left.

How many​ at-bats did the player​ have?

The player had

360360 ​at-bats.

Tell whether each of the following questions is biased or fair.​ Why?

1. Given the importance of education in society comma do you favor increased funding for schools question mark Given the importance of education in society, do you favor increased funding for schools?
2. Do you think music should be a required subject question mark Do you think music should be a required subject?
3. Choose the correct answer below.

A.

Fair because the question does not make an unjustified assumption and does not make some answers appear better than others.

B.

Biased because the question does not make an unjustified assumption and does not make some answers appear better than others.

C.

Biased because the question makes an unjustified assumption or makes some answers appear better than others.

Fair because the question makes an unjustified assumption or makes some answers appear better than others.

1. Choose the correct answer below.

A.

Fair because the question makes an unjustified assumption or makes some answers appear better than others.

B.

Fair because the question does not make an unjustified assumption and does not make some answers appear better than others.

Your answer is correct.C.

Biased because question does not make an unjustified assumption and does not make some answers appear better than others.

D.

Biased because the question makes an unjustified assumption or makes some answers appear better than others.

Tell whether it is appropriate to use a bar graph for each of the following.

1. Is it appropriate to use a bar graph for the US population data on the​ right?

A.

A bar graph is the most appropriate way of displaying this data.

B.

A different graph may be more appropriate since we have continuous data changing over time.

1. Is it appropriate to use a bar graph for the Continents of the World data on the​ right?

A.

A different graph may be more appropriate since we have continuous data changing over time.

B.

A bar graph is the most appropriate way of displaying this data.

A family plans to have 66 children. Assume that the probability of a child being a girlgirl is one half

1

2​, and births are independent events.

1. What is the probability of the event of the firstfirst child being a boyboy​?
2. What are the odds in favor of the family having all girlgirl​s?
3. The probability of the firstfirst child being a boyboy is

one half

1

2.

​(Simplify your​ answer.)

1. The odds in favor of the family having all girlgirls are

11​:

6363.

​(Simplify your​ answer.)

A student observes the spinner to the right and claims that the color red has the highest probability of​ appearing, since there are two red areas on the spinner. What is your​ reply?

A circular spinner is divided into four unequal areas. Half of the circle is green. The other half is divided into 3 sections colored red, blue, and red. The red sections are about the same size. The blue section is about the size of two of the red sections.

Choose the correct answer below.

A.

The student is wrong since the area of the red regions is equal to the area of the green​ region, both of the probabilities of appearing red and green are the highest.

B.

The student is wrong since the area of the blue region is the​ largest, the color blue has the highest probability of appearing.

C.

The student is wrong since the area of the red regions is smaller than the area of the green​ region, so the color red does not have the highest probability of appearing.

The student is right since the number of regions in one color determines the probability of that color appearing.

to determine students’ preferred mode of transportationstudents’ preferred mode of transportation​, which sample is more likely to be​ random?

1. Ask students all over the country.students all over the country.
2. Ask students that live in your city.students that live in your city.

Choose the correct answer below.

A.

Sample a is more likely to be random because fewer people are being​ sampled, so the data will appear more random.

B.

Sample b is more likely to be random because more people are being​ sampled, so the data will appear more random.

C.

Sample b is more likely to be random because the chosen sampling location is random as well as the people being sampled.

D.

Sample a is more likely to be random because the chosen sampling location is random as well as the people being sampled.