Weighted Averages — Unit test Answers

0 verified answers
1
Free Preview

Each of the teams in a mixed volleyball league consists of 5 men and 5 women. There are 9 men and 10 women, including Julia, who are trying out for a team. How many possible teams would include Julia?

A
15,876
B
31,752
C
45,722,880
D
457,228,800
2
Free Preview

Which situations can be simulated using this spinner? Select three options.

Question illustration
A
Predicting the gender of a randomly chosen art teacher if 1 of 3 art teachers is female
B
Predicting the gender of a randomly chosen history teacher if 12 of 15 history teachers are female
C
Predicting the gender of a randomly chosen biology teacher if 8 of 12 biology teachers are female
D
Predicting the gender of a randomly chosen chemistry teacher if 4 of 9 chemistry teachers are female
E
Predicting the gender of a randomly chosen health teacher if 2 of 4 health teachers are female
3

Vince makes 75% of his free throw attempts. He wants to create a tool that will simulate his free throw shooting and allow him to predict the probability that he will make 6 of his next 7 free throw attempts.Which spinner simulation uses an appropriate device and has the correct number of trials?

A
a spinner divided into 2 congruent sectors, spun 6 times
B
a spinner divided into 2 congruent sectors, spun 7 times
C
a spinner divided into 4 congruent sectors, spun 6 times
D
a spinner divided into 4 congruent sectors, spun 7 times
4

Which events are mutually exclusive? Select two options.

A
landing on a shaded portion and landing on an even number
B
landing on a shaded portion and landing on a number greater than 3
C
landing on a shaded portion and landing on a 3
D
landing on an unshaded portion and landing on an odd number
E
landing on an unshaded portion and landing on a number less than 2
5

The table below shows all of the possible outcomes for rolling two six-sided number cubes.What is the probability of rolling a sum of 8?

Question illustration
A
StartFraction 1 over 12 EndFraction
Option A
B
StartFraction 5 over 36 EndFraction
Option B
C
StartFraction 1 over 6 EndFraction
Option C
D
StartFraction 7 over 36 EndFraction
Option D
6

Selena is buying an audio system for her car. She can choose among 3 types of stereos, 4 kinds of speakers, and 2 kinds of amplifiers. Which describes how Selena can show her options?

A
List the 3 types of stereos. Draw branches from each type and list the 4 speakers at the ends. Then, draw branches from each speaker type and list the 2 amplifiers at the ends.
B
List the 3 types of stereos. Draw branches from each type and list the 4 speakers at the ends.
C
List 1 stereo. Draw a branch from the stereo and list 1 speaker at the end. Then, draw a branch from the speaker and list 1 amplifier at the end.
D
List the 3 types of stereos. Draw branches from each type and list the 4 speakers at the ends. Then, draw a branch from the speaker and list 1 amplifier at the end.
7

A restaurant is offering a dinner special that includes one starter and one entree. The choices are listed below.Starter: breadsticks, soup, saladEntree: beef, fish, chicken, shrimp, porkHow many possible dinner special combinations are there?

A
5
B
8
C
10
D
15
8

There are 12 teams, each representing a different country, in a women’s Olympic basketball tournament. In how many ways is it possible for the gold, silver, and bronze medals to be awarded? Use the formula for permutations to find your answer.

A
220
B
440
C
1,320
D
1,728
9

Pedro has determined that the probability his shot will score in a lacrosse game is 0.30.What is the probability that he will score on two consecutive shots?

A
0.09
B
0.15
C
0.30
D
0.60
10

A package contains 4 red, 2 green, 8 purple, and 6 blue jelly beans. What is the probability of choosing a purple jelly bean, eating it, and then choosing a blue jelly bean?

A
StartFraction 1 over 400 EndFraction
Option A
B
StartFraction 1 over 380 EndFraction
Option B
C
StartFraction 3 over 25 EndFraction
Option C
D
StartFraction 12 over 95 EndFraction
Option D
11

Bart found 20 quadrilaterals in his classroom. He made a Venn diagram using the properties of the quadrilaterals, comparing those with four equal side lengths (E) and those with four right angles (R).

Question illustration
A
25%
B
33%
C
40%
D
67%
12

James surveyed people at school and asked whether they bring their lunch to school or buy their lunch at school more often. The results are shown below.Bring lunch: 46 males, 254 femalesBuy lunch: 176 males, 264 females

A
P(buys lunch | male) = P(male) = 0.4.
B
P(male | buys lunch) = P(male) = 0.3.
C
P(buys lunch | male) = 0.3 and P(male) = 0.4.
D
P(male | buys lunch) = 0.4 and P(male) = 0.3.
13

In a standard deck of cards there are 13 spades, 13 clubs, 13 hearts, and 13 diamonds. The spades and the clubs are black and the hearts and the diamonds are red.If two cards are chosen at random from a deck, one at a time, and replaced after each pick, what is the probability that a black card is chosen first and a heart is chosen second?

A
One-eighth
Option A
B
One-half
Option B
C
Two-thirds
Option C
D
Three-fourths
Option D
14

The cable company is analyzing the data from two satellite television providers to determine whether their users spend more time watching live television or shows that have been recorded.Satellite Company X: 89 live, 430 recordedSatellite Company Y: 65 live, 94 recorded

A
41%
B
59%
C
77%
D
83%
15

A standard deck of 52 cards contains 13 cards with hearts, 13 with diamonds, 13 with clubs, and 13 with spades. How many 7-card hands are possible with 2 hearts, 2 diamonds, 2 clubs, and 1 spade? Assume that the order of the cards does not matter, and use the formula for combinations to find your answer.

A
474,552
B
6,169,176
C
49,353,408
D
133,784,560
16

A local middle school adopted a policy for school uniforms. Students can wear black pants or tan pants. They can wear a yellow shirt, a red shirt, a green shirt, or a white shirt. The tree diagram shows the possible outfit choices.How many different choices does a student have when choosing a pair of pants and a shirt?

Question illustration
A
2
B
4
C
8
D
10
17

Five out of six residents of Mayville have library cards. Which tool will best allow Darren to simulate this scenario and predict whether a randomly chosen resident has a library card?

A
a coin
B
a 5-sector spinner
C
a number cube
D
a bag of 11 marbles
18

The 7 a.m. flight from Dallas to Chicago is on time 75% of the time. Fran created this spinner to simulate the scenario.Fran spun the spinner three times to predict whether the flight will be on time or late next Monday, Tuesday, and Wednesday. How should she interpret this outcome of the three spins: shaded-shaded-unshaded?

Question illustration
A
The flight will be late all three days.
B
The flight will be on time all three days.
C
The flight will be late on one of the three days.
D
The flight will be on time on one of the three days.
19

Which probabilities are correct? Select two options.

A
P(A|C) =
Option A
B
P(C|B) =
Option B
C
P(A) =
Option C
D
P(C) =
Option D
E
P(B|A) =
Option E
20

There are 4 seats available at a table in the lunch room of an elementary school, and 12 students are looking for seats. In how many ways can the seats at the table be filled with 4 of these 12 students?

A
495
B
2,970
C
11,880
D
20,736

Did you find these answers helpful?