Title: Chapter 0 Skills and Extensions
Course: quiz duplicate error

Q: Suppose you spin two spinners. Each has 5 equally likely outcomes, the numbers 1 through 5. Which graph shows the probability distribution for the sum of the two spinners?
- [Image]
- [Image]
- [Image]
- [Image]
A: [Image]

Q: [Image] – [Image] =
- 4 [Image]
- [Image]
- [Image]
- 4 [Image]
A: [Image]

Q: [Image]
- 2.16
- 0.00216
- 0.0216
- 0.216
A: 0.216

Q: Use the spreadsheet.

All-Time Winningest Teams

 | A | B | C | D | E | F | G
1 | Team | Year | Won | Lost | Total Games Played | Winning Percentage |
2 | Pirates | 1972 | 29 | 2 | 31 | .935 |
3 | Cougars | 1994 | 32 | 5 | [Image] | .865 |
4 | Hawks | 2003 | 22 | [Image] | 26 | .846 |
5 | Mustangs | 1989 | 30 | 6 | 36 | [Image] |
6 |  | totals: | 113 | [Image] | [Image] | Combined Winning Percentage: | .869

Write the expression you would enter for the formula that will calculate the value in cell E6.
- =C5-D5
- =E6
- =E2+E3+E4+E5
- =C5*G5
A: =E2+E3+E4+E5

Q: [Image]
- [Image]
- [Image]
- [Image]
- [Image]
A: [Image]

Q: Graph the inequality for the replacement set.

[Image]
- [Image]
- [Image]
- [Image]
- [Image]
A: [Image]

Q: At your summer job with a research company, you must get a random sample of people from your town to answer a question about spending habits. Which of the following methods is most likely to be random?
- You survey customers at the local shopping mall.
- You survey people chosen randomly from the local phonebook.
- You survey several of your friends.
- You survey customers at a popular restaurant.
A: You survey people chosen randomly from the local phonebook.

Q: Identify the fraction that is equivalent to [Image].
- [Image]
- [Image]
- [Image]
- [Image]
A: [Image]

Q: Write the fraction in simplest form.

[Image]
- [Image]
- [Image]
- [Image]
- [Image]
A: [Image]

Q: Write [Image] in standard form.
- 7
- 25
- 10
- 52
A: 25

Q: Suppose you roll two number cubes. Graph the probability distribution for the following sample space.
{sum of numbers < 6, sum of numbers > 6, sum of numbers = 6}
- [Image]
- [Image]
- [Image]
- [Image]
A: [Image]

Q: [Image] + [Image] =
- 11 [Image]
- [Image]
- 11 [Image]
- [Image]
A: [Image]

Q: [Image]
- 0.175
- 1.75
- 17.5
- 175
A: 17.5

Q: [Image]
- 0.77
- 0.077
- 7.7
- 0.0077
A: 0.077

Q: Display the set of data in a line plot.
58, 55, 54, 61, 56, 54, 61, 55, 53, 54
- [Image]
- [Image]
- [Image]
- [Image]
A: [Image]

Q: Graph the inequality for the replacement set.

[Image]; positive integers
- [Image]
- [Image]
- [Image]
- [Image]
A: [Image]

Q: Use a net to find the surface area of the figure.

[Image]
- 2,112 ft^2
- 1,536 ft^2
- 1,344 ft^2
- 3,072 ft^2
A: 1,536 ft^2

Q: Write 4,564 in expanded form using exponents.
- [Image]
- [Image]
- [Image]
- [Image]
A: [Image]

Q: Use the spreadsheet.

All-Time Winningest Teams

 | A | B | C | D | E | F | G
1 | Team | Year | Won | Lost | Total Games Played | Winning Percentage |
2 | Pirates | 1972 | 29 | 2 | 31 | .935 |
3 | Cougars | 1994 | 32 | 5 | [Image] | .865 |
4 | Hawks | 2003 | 22 | [Image] | 26 | .846 |
5 | Mustangs | 1989 | 30 | 6 | 36 | [Image] |
6 |  | totals: | 113 | [Image] | [Image] | Combined Winning Percentage: | .869

In which cell of the spreadsheet would you find the formula =E4-C4?
- G6
- D4
- G4
- none of these
A: D4

Q: Use a net to find the surface area of the figure.

[Image]
- 315 in.^2
- 469 in.^2
- 539 in.^2
- 784 in.^2
A: 469 in.^2

Q: [Image]
- 1.1297
- 1129.68
- 11.2968
- 112.968
A: 112.968

Q: Use a net to find the surface area of the figure.

[Image]
- 332 m^2
- 504 m^2
- 440 m^2
- 664 m^2
A: 664 m^2

Q: Write 3 × 3 × 3 × 3 × 3 × 3 using an exponent.
- [Image]
- [Image]
- [Image]
- [Image]
A: [Image]

Q: The frequency table below shows the ages of the first ten people in line at the movie theater. Make a line plot that shows the same data as the frequency table.

Ages | Frequency
22 | 3
23 | 2
27 | 2
29 | 1
30 | 2
- [Image]
- [Image]
- [Image]
- [Image]
A: [Image]

Q: Which graph or graphs would be best for showing the depth of water in a pond over a period of time?

I. [Image]      II. [Image]      III. [Image]
- I
- I, II, or III
- III
- I or II
A: III

Q: Find the greatest common factor of the numbers.

6, 21, and 36
- 3
- 5
- 7
- 6
A: 3

Q: Write as a fraction in simplest form.

0.68
- [Image]
- [Image]
- [Image]
- [Image]
A: [Image]

Q: Write as a fraction in simplest form.

0.515151. . .
- [Image]
- [Image]
- [Image]
- [Image]
A: [Image]

Q: Find the area of the figure.

[Image]
- 31.5 in.^2
- 173.3 in.^2
- 27 in.^2
- 63 in.^2
A: 31.5 in.^2

Q: Is 112 prime or composite?
- composite
- prime
A: composite

Q: Find the perimeter of the figure.

[Image]
- 87 cm
- 60 cm
- 72 cm
- 66 cm
A: 66 cm

Q: Write as a percent.

0.63
- 0.063%
- 6.3%
- 630%
- 63%
A: 63%

Q: Find the perimeter of the figure.

[Image]
- 25 ft
- 60 ft
- 50 ft
- 150 ft
A: 50 ft

Q: Find the volume of the solid. Round to the nearest tenth if necessary.

[Image]
- 226.1 m^3
- 37.7 m^3
- 113 m^3
- 150.7 m^3
A: 113 m^3

Q: Write as a percent.

[Image]
- 50%
- 5%
- 20%
- 2%
A: 20%

Q: [Image]¸ [Image] =
- [Image]
- [Image]
- [Image]
- [Image]
A: [Image]

Q: Find the least common multiple of the set of numbers.

4, 9, and 16
- 576
- 288
- 144
- 72
A: 144

Q: Find the surface area of the figure. Round final answers to the nearest tenth if necessary.

[Image]
- 65.9 cm^2
- 141.3 cm^2
- 113 cm^2
- 282.6 cm^2
A: 113 cm^2

Q: An athlete runs a 900-meter course in 180 seconds. Find the average speed of the athlete. Round to the nearest tenth if necessary.
- 0.2 meters per second
- 0.3 meters per second
- 5 meters per second
- 4 meters per second
A: 5 meters per second

Q: Write a rule to describe the translation [Image].
- 6 units right, 3 units up
- 6 units left, 3 units down
- 6 units left, 3 units up
- 6 units right, 3 units down
A: 6 units right, 3 units up

Q: A cylinder has a volume of 19 cm^3. If the radius is doubled, what is the volume of the new cylinder?
- 304 cm^3
- 38 cm^3
- 76 cm^3
- 152 cm^3
A: 76 cm^3

Q: A cyclist travels at a speed of 12 miles per hour for 2.5 hours. Find the distance the cyclist travels.
- 5.5 miles
- 25.5 miles
- 30 miles
- 4.8 miles
A: 30 miles

Q: Find the surface area of the figure. Round final answers to the nearest tenth if necessary.

[Image]
- 128 yd^2
- 320 yd^2
- 192 yd^2
- 576 yd^2
A: 320 yd^2

Q: Find the surface area of the figure. Round final answers to the nearest tenth if necessary.

[Image]
- 241.5 ft^2
- 264 ft^2
- 249 ft^2
- 195 ft^2
A: 249 ft^2

Q: [Image]´ [Image] =
- [Image]
- [Image]
- 1 [Image]
- 1 [Image]
A: [Image]

Q: A car travels 497 miles in 8 hours. Find the unit rate. Round to the nearest tenth if necessary.
- 1.6 miles per hour
- 52.8 miles per hour
- 77.7 miles per hour
- 62.1 miles per hour
A: 62.1 miles per hour

Q: Find the greatest common factor of the numbers.

24 and 54
- 2
- 7
- 6
- 3
A: 6

Q: Write as a decimal.

[Image]
- 0.4
- 5.5
- 3.4
- 1.2
A: 3.4

Q: Find the least common multiple of the set of numbers.

6 and 10
- 15
- 30
- 60
- 45
A: 30

Q: Write as a decimal.

[Image]
- 0.5
- 0.2
- 5
- 2
A: 0.5

Q: Find the volume of the solid. Round to the nearest tenth if necessary.

[Image]
- 24 in.^3
- 96 in.^3
- 48 in.^3
- 16 in.^3
A: 48 in.^3

Q: Find the surface area of the figure. Round final answers to the nearest tenth if necessary.

[Image]
- 75.4 cm^2
- 113 cm^2
- 125.6 cm^2
- 226.1 cm^2
A: 125.6 cm^2

Q: Write 60% as a fraction or mixed number in simplest form.
- [Image]
- [Image]
- [Image]
- [Image]
A: [Image]

Q: Find the surface area of the figure. Round final answers to the nearest tenth if necessary.

[Image]
- 87.9 cm^2
- 170.3 cm^2
- 208.8 cm^2
- 417.6 cm^2
A: 170.3 cm^2

Q: Find the volume of the solid. Round to the nearest tenth if necessary.

[Image]
- 3449.3 cm^3
- 176.9 cm^3
- 646.7 cm^3
- 1149.8 cm^3
A: 1149.8 cm^3

Q: A rectangular prism has a surface area of 40 in.^2. If all of the dimensions of the prism are tripled, what is the surface area of the larger prism?
- 360 in.^2
- 120 in.^2
- 240 in.^2
- 1080 in.^2
A: 360 in.^2

Q: Find the area of the figure.

[Image]
- 8 m^2
- 16 m^2
- 4 m^2
- 12 m^2
A: 8 m^2

Q: A large aquarium is 8 m by 6 m by 5 m. What is the difference in the volume of the aquarium if its dimensions are doubled?
- 240 m^3
- 1680 m^3
- 360 m^3
- 480 m^3
A: 1680 m^3

Q: There are 13 students in Mr. Alvarez’s art class. Throughout the year, each student must pair up with every other student to complete a project. How many projects will be finished?
- 182
- 117
- 78
- 156
A: 78

Explain which type of data display would be the most appropriate for the data. Then draw the graph.

rainfall amounts over a three-month period

Rainfall in inches | 0.0-0.2 | 0.3-0.5 | 0.6-0.8 | 0.9-1.1 | 1.2-up
Number of days | 43 | 20 | 10 | 7 | 10

Q: Name the property that the statement(s) illustrates.

[Image]
- Symmetric Property
- Reflexive Property
- Transitive Property
- Associative Property of Multiplication
A: Reflexive Property

Explain which type of data display would be the most appropriate for the data. Then draw the graph.

budget of monthly expenses

Expense | Cost per Month ($)
Housing | 320
Food | 200
Other | 280

Explain which type of data display would be the most appropriate for the data. Then draw the graph.

the ages of the coaches for the high school’s sports teams

39, 43, 40, 39, 38, 39, 45, 41, 40, 42

Q: Sasha returned home from mowing lawns at 4:15 P.M. It took [Image] h to mow the first lawn. The second lawn took [Image] [Image] h. She took a 30-min break between the two lawns. When did Sasha begin mowing the first lawn?
- 1:45 P.M.
- 2:30 P.M.
- 2:00 P.M.
- 2:15 P.M.
A: 1:45 P.M.

Q: For [Image], find A + B.
- [Image]
- [Image]
- [Image]
- [Image]
A: [Image]

Q: Marcus has 68 feet of fencing. He wants to build a rectangular pen with the largest possible area. What should the dimensions of the rectangle be?
- 19 ft by 21 ft
- 21 ft by 13 ft
- 17 ft by 17 ft
- 19 ft by 15 ft
A: 17 ft by 17 ft

Q: Bonnie, Jason, Melda, Kenji, Tanya, and Darren form a chess club. They each want to play one game with every other member of the club. How many games will be played?
- 16
- 36
- 6
- 15
A: 15

Q: Find the missing length(s) of the triangle. Round to the nearest tenth.

[Image]
- x = 15.6 ft, y = 21.7 ft
- x = 18.0 ft, y = 24.6 ft
- x = 15.6 ft, y = 18.0 ft
- x = 15.6 ft, y = 24.6 ft
A: x = 18.0 ft, y = 24.6 ft

Q: Jan saved $1.00 from her first paycheck from her summer job. She saved $1.15 from her second paycheck and $1.30 from her third paycheck. She kept to this pattern for ten weeks. how much money did she save from her sixth paycheck?
- $1.90
- $1.50
- $1.75
- $0.75
A: $1.75

Q: There are 60 pages in your journal. If you number all of the pages, starting with 1, how many digits will you have to write?
- 62
- 120
- 111
- 60
A: 111

Q: Your track coach calls to tell you that your team’s meet tomorrow has been canceled. He asks you to call 3 other members of the team. Each of those team members must call 3 other team members. How many team members, including yourself, will be contacted?
- 13
- 9
- 10
- 7
A: 13

Q: Simplify the expression.

[Image]
- 192
- 4
- 262,144
- 21
A: 4

Q: [Image]; negative real numbers
- [Image] [Image]
- [Image] [Image]
- [Image] [Image]
- [Image] [Image]
A: [Image] [Image]

Q: Simplify the expression.

[Image]
- [Image]
- [Image]
- [Image]
- [Image]
A: [Image]

Q: Name the property that the statement(s) illustrates.

If [Image] and [Image], then [Image]
- Multiplication Property of Inequality
- Reflexive Property
- Symmetric Property
- Transitive Property
A: Transitive Property

Q: Two cars started from the same point. One traveled north at 45 mi/h and the other traveled south at 65 mi/h. How far apart were the cars after 3 hours?
- 110 mi
- 390 mi
- 330 mi
- 270 mi
A: 330 mi

Q: During the past month, you withdrew $22 from your savings account and then deposited $24. If your balance at the end of the month is $120, how much did you have in your account at the beginning of the month?
- $166
- $74
- $118
- $122
A: $118

Q: Find the limits as [Image] increases for the graph.

[Image]
- 4
- –2
- –3
- 1
A: 1

Q: The total number of horses and people at the riding academy for the Sunday session was 37. The total number of legs at the academy that day was 112. How many people were at the riding academy that Sunday?
- 21
- 14
- 22
- 18
A: 18

Q: Find the limits as [Image] increases for the graph.

[Image]
- 0
- –1
- 1
- 2
A: 0

Q: Find the missing length(s) of the triangle. Round to the nearest tenth.

[Image]
- h = 22 cm, w = 15.6 cm
- h = 19.1 cm, w = 15.6 cm
- h = 22 cm, w = 19.1 cm
- h = 19.1 cm, w = 19.1 cm
A: h = 22 cm, w = 19.1 cm

Q: Name the property that the statement(s) illustrates.

If –2b = 11, then 11 = –2b.
- Transitive Property
- Commutative Property of Multiplication
- Reflexive Property
- Symmetric Property
A: Symmetric Property

Q: Find the surface area of the cone to the nearest whole unit.
[Image]
- 374 ft^2
- 119 ft^2
- 336 ft^2
- 1,056 ft^2
A: 374 ft^2

Q: Name the property that the statement(s) illustrates.

If [Image] and [Image] then d = 4.
- Inverse Property of Multiplication
- Symmetric Property
- Transitive Property
- Reflexive Property
A: Transitive Property

Q: For [Image], find –2A – B + C.
- [Image]
- [Image]
- [Image]
- [Image]
A: [Image]

Q: There are 22 students in your homeroom class. There are 9 who are in the jazz ensemble, 6 students who play soccer, and 2 students who are in both groups. How many students are not in either group?
- 11
- 7
- 9
- 8
A: 9

Q: Simplify the expression.

[Image]
- 3
- 6
- 3
- 8
A: 8

Q: You bake cookies for a school fundraiser. In the morning, you sell 6 cookies. During lunch, you sell one-half of the cookies you have left. In the afternoon, you sell 19 cookies. If you are left with 6 cookies at the end of the day, how many cookies did you start with?
- 68
- 62
- 56
- 50
A: 56

Q: [Image]; {–3, –1, 0, 1, 3}
- r < [Image] [Image]
- r < [Image] [Image]
- r > [Image] [Image]
- r < [Image] [Image]
A: r > [Image] [Image]

Q: Tammy is selling tickets for the school jazz band concert. Adult tickets cost $5, and student tickets cost $3. If Tammy sells a total of 170 tickets and collects $650, how many of each kind of ticket did she sell?
- 70 adult, 100 student
- 75 adult, 95 student
- 95 adult, 75 student
- 100 adult, 70 student
A: 70 adult, 100 student

Q: Find the missing length(s) of the triangle. Round to the nearest tenth.

[Image]
- h = 6.5 in.
- h = 22.5 in.
- h = 26.0 in.
- h = 18.4 in.
A: h = 18.4 in.

Create a box-and-whisker plot for the data set.

16, 1, 7, 20, 10, 13, 1

The local train station reports that 70% of all arriving trains are on time. Using the table of randomly generated numbers below, let 0, 1, 2, 3, 4, 5, and 6 represent an on-time arrival, and 7, 8, and 9 represent a late arrival. What is the probability that the next two trains will be late?

25 | 71 | 87 | 46 | 66 | 13 | 63 | 36 | 01 | 59
27 | 07 | 83 | 25 | 72 | 24 | 73 | 52 | 59 | 81
14 | 09 | 40 | 64 | 81 | 72 | 02 | 38 | 21 | 09
92 | 10 | 97 | 34 | 36 | 45 | 53 | 18 | 23 | 78

a.

Term Number | 1 | 2 | 3
Term | 1 | [Image] | [Image]

b. Use the term numbers as x and the terms as y. Graph this sequence.
c. What is the limit of this sequence?

Nina, Juan, Melissa, Greg, and Liz are waiting in line at the cafeteria. Liz is two places ahead of Greg. Juan is in front of Liz, and Nina is the last in line. List the students in order from first to last.

Use front-end estimation.

6.086 – 4.018

Your dog is expecting a litter of puppies. The probability of a puppy being male or female is 0.5. What is the probability that a litter of four puppies will contain two males and two females? Use coin tosses or a list of random 4-digit numbers to simulate the problem.

The vertices of a triangle are A(–0.5, 2), B(1, –2), and C(–2, –2). Graph the triangle and its image after a translation of 1 units right, 1 units up.

[Image]

Draw a line graph for the data in the table below.

Percent of Homes in the United States With Personal Computers
Year | Percent
1990 | 22%
1992 | 27%
1994 | 33%
1996 | 40%
1998 | 40%
2000 | 51%

Graph [Image] and [Image]. Describe the similarities and differences of the two graphs.

The vertices of a triangle are given. Graph both the figure and its image after a reflection over the specified line.

C(–4, 2), D(–5, –2), E(–2, 1); x = 0
[Image]

Measure the angle. Is it acute, right, straight,or obtuse?
[Image]

[Image]
The graph above shows the percent of market share for various brands of orange juice.
a. Why is this graph misleading?
b. Explain how to redraw the graph so it is not misleading.

Graph [Image], using the set of integers as the replacement set.

The vertices of a triangle are given. Graph both the figure and its image after a reflection over the specified line.

L(4, –2), M(3, –5), N(0, –3); y = 1
[Image]

Graph the point M(2, 3) and its image after a reflection over y = 4.
[Image]

The vertices of a parallelogram are A(0.75, 2), B(3, 2), C(2.25, –2), and D(0,–2). Graph the parallelogram and its image after a translation of 2 units left, 1 units down.

[Image]

Graph the point R(–4, –5). Then rotate it 180° degrees counterclockwise about the origin and graph the new point.
[Image]

Robin, Ned, Annette, and Carlos are in a band. They play guitar, drums, piano, and saxophone. Carlos plays the only wind instrument in the band. Ned’s instrument has black and white keys. Annette is the sister of the guitar player. Which instrument does each person play?

State whether the plan describes a good sampling method. Explain your reasoning.

You want to know the average number of books people in your town read in a month. You plan to survey every third person leaving the library.

Determine whether the number is divisible by 2, 3, 4, 5, 6, 8, 9, or 10.

3202

The function [Image] gives the volume V of a hemisphere with radius r.
a. Graph the function for values from r = 0 to r = 3.
b. Use the graph to estimate the radius of a hemisphere with volume 10 in.^3.

Estimate by rounding.

$14.49 + $68.64 + $128.05

For [Image], find D – E.

[Image]

The graph above shows the expenditures of a company over several years.
a. Why is this graph misleading?
b. Explain how to redraw the graph so it is not misleading.

What is the total number of squares in the figure below?
[Image]

The vertices of a triangle are E(1, 0), F(5, –1), and G(4, –4). Graph the triangle and its image after a rotation of 90° about the origin.
[Image]

You take a survey of your classmates to find out how many books each of them read during the summer vacation. Graph the data in a histogram.

Number of books read: 1, 0, 5, 3, 1, 2, 7, 4, 2, 1, 1, 0, 11, 3, 10, 2

Draw a 130° angle.

Use front-end estimation.

$4.79 + $3.51 + $2.26

How many combinations of nickels, dimes, and quarters add up to $0.75 if you have at least one of each coin, and the number of nickels is greater than the number of quarters?

Determine whether the number is divisible by 2, 3, 4, 5, 6, 8, 9, or 10.

295

Create a box-and-whisker plot for the data set.

97, 75, 90, 100, 98, 91, 97, 75

State whether the plan describes a good sampling method. Explain your reasoning.

You want to know how many of the students in your grade have pets. You plan to survey students as they leave the cafeteria.

Draw a bar graph for the data in the table below.

High School Graduation Rates
State | Percent Graduating
Alabama | 80.0%
Delaware | 81.6%
Iowa | 89.2%
Nevada | 73.5%
Pennsylvania | 84.0%
Wisconsin | 90.9%

List all the factors of 5.

An investor would like to purchase a major league baseball team and wants to find out if people in his city will support higher taxes to build a new stadium. The investor’s consultants survey every tenth person leaving a local basketball game. Of those surveyed, 78% supported higher taxes to build a new stadium. Should the consultants report that there is overwhelming support for higher taxes to build a new stadium? Explain.

Write the prime factorization of 14.

Estimate by rounding.

535 – 342

Draw a circle graph for the data in the table below.

Cost of Owning a Car
Category | Percent
Purchase price | 52%
Interest | 12%
Insurance | 13%
Gas, oil, and maintenance | 20%
License and registration | 3%

How many black squares would there be if you extended the pattern below to a size of 7 by 7 squares?
[Image]