Unit Test — Cumulative exam Answers

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1
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Segment MP is a diameter of circle O.

Question illustration
A
m + 150 = 180
Option A
B
m + 150 = 360
Option B
C
m – 150 = 180
Option C
D
m – 150 = 360
Option D
2
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A survey was taken of children between the ages of 3 and 7. Let A be the event that the person has 2 siblings, and let B be the event that the person does not have a pet.

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A
A and B are independent events because P(A∣B) = P(A) = 0.18.
B
A and B are independent events because P(A∣B) = P(A) = 0.4.
C
A and B are not independent events because P(A∣B) = 0.4 and P(A) = 0.18.
D
A and B are not independent events because P(A∣B) = 0.18 and P(A) = 0.4.
3

Which statements about the design are true? Select three options.

A
Each sprinkler head is placed more than 3 feet from the walkway.
B
If two additional sprinkler heads are placed on the lawn, every square foot of the yard would be watered.
C
The total area watered by each sprinkler is approximately 63.6 square feet.
D
The total area watered by all the sprinklers is approximately 254 square feet.
E
If the sprinklers were placed in two straight lines on the yard, they would water a greater amount of the lawn.
4

Mei and Anju are sitting next to each other on different horses on a carousel. Mei’s horse is 3 meters from the center of the carousel. Anju’s horse is 2 meters from the center. After one rotation of the carousel, how many more meters has Mei traveled than Anju?

A
π more meters
B
2π more meters
C
4π more meters
D
5π more meters
5

On a coordinate plane, rhombus W X Y Z is shown. Point W is at (7, 2), point X is at (5, negative 1), point Y is at (3, 2), and point Z is at (5, 5).

Question illustration
A
units
Option A
B
12 units
C
units
Option C
D
20 units
6

A guidance counselor reports that in a given semester, the probability that a student chooses art as an elective is 15 percent, the probability that a student chooses art or drama is 20 percent, and the probability that a student chooses both art and drama is 2 percent.What is the probability that a student chooses drama as an elective?

A
5 percent
B
7 percent
C
33 percent
D
37 percent
7

Triangle X Y Z is shown. Angle X Z Y is a right angle. Angle Z X Y is 60 degrees and angle X Y Z is 30 degrees. The length of hypotenuse X Y is 42 and the length of X Z is 21.

Question illustration
A
One-half
Option A
B
StartFraction StartRoot 3 EndRoot Over 2 EndFraction
Option B
C
StartRoot 3 EndRoot
Option C
D
StartFraction 2 Over 1 EndFraction
Option D
8

Including Jose, there are eight people in his family.If order matters, how many ways can he arrange his family members into a row of five seats if Jose must sit in the first seat?

A
35
B
840
C
1,680
D
2,620
9

There are 2,100 bacteria in a circular petri dish. The dish has a radius of 40 millimeters. What is the approximate population density? (Use 3.14 for π)Area of a circle = πr2

A
0.02 bacteria per square millimeter
B
0.42 bacteria per square millimeter
C
2.39 bacteria per square millimeter
D
52.5 bacteria per square millimeter
10

The area of the regular octagon is 10.15 cm2.

Question illustration
A
1.27 cm
B
1.75 cm
C
2.33 cm
D
2.54 cm
11

Triangle ABC is a right triangle and sin(53o) = . Solve for x and round to the nearest whole number.

Question illustration
A
cos(53o) =
Option A
B
cos(53o) =
Option B
C
cos(53o) =
Option C
D
cos(53o) =
Option D
12

Iliana is painting a picture. She has green, red, yellow, purple, orange, and blue paint. She wants her painting to have four different colors.If order does not matter, in how many ways can she pick four colors if green must be one of them?

A
4
B
6
C
10
D
15
13

On a coordinate plane, a circle has a center at (negative 2, 1).

Question illustration
A
x2 + y2 + 4x – 2y – 4 = 0
B
x2 + y2 + 4x – 2y + 2 = 0
C
x2 + y² – 4x + 2y – 4 = 0
D
x2 + y² – 4x + 2y + 2 = 0
14

The two-way table shows the number of sport utility vehicles with certain features for sale at the car lot.What is the probability that a randomly selected car with no 4-wheel drive has third-row seats?

Question illustration
A
0.3
B
0.4
C
0.7
D
0.8
15

Which three-dimensional figure has half the number of vertices as the rectangular prism?

A
hexagonal prism
B
rectangular pyramid
C
triangular prism
D
triangular pyramid
16

Fifty-five percent of the members of the junior varsity swim team wear glasses. Of the team members who do not wear glasses, 30 percent of them are in the 10th grade.To the nearest whole percent, what is the probability that a randomly chosen member of the JV swim team does not wear glasses and is in the 10th grade?

A
14%
B
17%
C
55%
D
67%
17

In circle E, and are diameters. Angle BCA measures 53°.

Question illustration
A
53°
B
74°
C
106°
D
180°
18

A quilt is designed using a square pattern. Each square contains two rectangles. Each rectangle contains a shaded rhombus.

Question illustration
A
50
B
55
C
125
D
145
19

Consider the sets below.U = {x | x is a real number}A = {x | x is an odd integer}R = {x | x = 3, 7, 11, 27}Is R ⊂ A?

A
yes, because all the elements of set A are in set R
B
yes, because all the elements of set R are in set A
C
no, because each element in set A is not represented in set R
D
no, because each element in set R is not represented in set A
20

The Venn diagram shows the number of employers who ranked skills important for careers in their field.C represents communication, T represents technical skills, and M represents the ability to handle money.

Question illustration
A
47
B
50
C
67
D
86

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