AnswersAISD 26-27 Geometry CR BSolving for Angle Measures of Right Triangles

Solving for Angle Measures of Right Triangles — Unit test Answers

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Information about the recycling drive at school is shown in the table. Let A be the event that the item pulled out of the recycling bin is a plastic bottle, and let B be the event that a tenth grader recycled that item.

Question illustration
A
A and B are independent events because P(A∣B) = P(A).
B
A and B are independent events because P(A∣B) = P(B).
C
A and B are not independent events because P(A∣B) ≠ P(A).
D
A and B are not independent events because P(A∣B) ≠ P(B).
43

The two-way table shows the estimated number of students who will enroll in three area high schools next year.

Question illustration
A
0.2
B
0.3
C
0.4
D
0.5
44

A bag contains one red pen, four black pens, and three blue pens. Two pens are randomly chosen from the bag and are not replaced.To the nearest hundredth, what is the probability that a black pen is chosen first and then another black pen is chosen?

A
0.02
B
0.19
C
0.21
D
0.25
45

Lori downloaded all the pictures she took at Rita’s wedding into a single computer folder. She took 86 of the 134 pictures with her camera and the remainder of them with her cell phone. Of the pictures Lori took with her cell phone, one out of every five was blurry.

A
7%
B
13%
C
31%
D
56%
46

If events A and B are independent, and the probability that event A occurs is 83%, what must be true?

A
The probability that event B occurs is 17%.
B
The probability that event B occurs is 83%.
C
The probability that event A occurs, given that event B occurs, is 83%.
D
The probability that event B occurs, given that event A occurs, is 83%.
47

The two-way table shows the number of houses on the market in the Castillos’ price range.What is the probability that a randomly selected house with 2 bathrooms has 3 bedrooms?

Question illustration
A
0.2
B
0.4
C
0.6
D
0.8
48

The track team gives awards for first, second, and third place runners. There are 10 students from school A and 12 students from school B competing.Which expression represents the probability that all three awards will go to a student from school B?

A
StartFraction 12 P 3 Over 22 P 3 EndFraction
Option A
B
StartFraction 12 C 3 Over 22 C 3 EndFraction
Option B
C
StartFraction 22 P 3 Over 22 P 12 EndFraction
Option C
D
StartFraction 22 C 3 Over 22 C 12 EndFraction
Option D
49

Lola pulls two marbles from a bag containing four red marbles, four blue marbles, and 12 yellow marbles without replacing them.What is the probability that she pulled out a red marble first and a yellow marble second? Express your answer in decimal form, rounded to the nearest hundredth.

A
0.09
B
0.13
C
0.25
D
0.32
51

If events A and B are independent, and the probability that event A occurs is 83%, what must be true?

A
The probability that event B occurs is 17%.
B
The probability that event B occurs is 83%.
C
The probability that event A occurs, given that event B occurs, is 83%.
D
The probability that event B occurs, given that event A occurs, is 83%.
53

In the drawing, six out of every 10 tickets are winning tickets. Of the winning tickets, one out of every three awards is a larger prize.What is the probability that a ticket that is randomly chosen will award a larger prize?

A
Two-fifteenths
Option A
B
One-fifth
Option B
C
Five-ninths
Option C
D
Five-sixths
Option D
54

The two-way table shows the ages of the players on different soccer teams.Which statement is true?

Question illustration
A
The probability that a randomly selected player on Team A is 8 years old is .
Option A
B
The probability that a randomly selected 8-year-old player is on Team C is .
Option B
C
The probability that a randomly selected player on Team C is 10 years old is .
Option C
D
The probability that a randomly selected 10-year-old player is on Team B is .
Option D
55

Twenty-two percent of the large pieces of mail that Rachel received this week were magazines and the rest were catalogs. Of the catalogs, 36 percent were for clothing.To the nearest whole percent, what is the probability that a randomly chosen large piece of Rachel’s mail was a clothing catalog?

A
8%
B
28%
C
46%
D
61%

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