AnswersPre-Algebra BInferences and Predictions

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Jamaal knows that it is certain that he will win the election because he is the only person who is running for class treasurer. Which value represents the probability that he will win the election?

A
0
B
One-fourth
Option B
C
Three-fourths
Option C
D
1
2
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Vickie conducts a survey of home builders to determine the average cost of building a new home. She samples 10 home builders who are building in the town in which she lives. Under which conditions will her sample be a representative sample? Select two options.

A
The builders were chosen at random.
B
The population included only builders who build in Vicki’s town.
C
The population included builders who build homes in any town.
D
The population included builders who do not build homes in Vicki’s town.
E
The builders were referred to Vicki by the realtor who will be selling the houses.
3

At Lawson Middle School, Mr. Hernandez asked 90 randomly selected students from each grade level for their favorite subject, and 28 chose social studies as their favorite. He used this data to draw the inference that out of the 250 middle school students, about 20% prefer social studies. Did he make a reasonable inference?

A
Yes, Mr. Hernandez’s sample is random, not biased, large enough compared to the population, and 28 is 20% of 250.
B
Yes, Mr. Hernandez’s sample is random, not biased, large enough compared to the population, and 28 is 20% of 90.
C
No, Mr. Hernandez’s sample is random, not biased, large enough compared to the population, but 28 is not 20% of 90.
D
No, Mr. Hernandez’s sample is not large enough compared to the population.
4

Which describes dependent events?

A
drawing a blue marble and then a yellow marble without replacement from a bag of marbles.
B
drawing the ace of spades from a deck of cards, putting it back into the deck, and drawing the king of spades.
C
rolling a six-sided number cube and getting an even number, then rolling the same six-sided number cube and getting an even number again
D
flipping two coins at the same time and getting heads on one and tails on the other
5

A town’s athletic league contains 18 baseball teams. The board members of the league want to survey adults attending games to determine if they believe the athletes are showing good sportsmanship. The board members attended one game and surveyed an equal number of adults supporting each of the two teams. Which best explains the validity of the results?

A
invalid because of biased sampling
B
invalid because the sampled adults are not part of the population
C
valid because an equal number of adults supporting both teams were surveyed
D
valid because adults are the target population
6

Kai, a seventh grader, wants to determine the average number of times the families in his neighborhood visit the pool during the summer. He samples the families of four of his classmates. Which improvements could Kai make to his sample to increase the validity of the results? Select three choices.

A
sample more families
B
sample families that have children who are not in seventh grade
C
sample families that regularly use the pool
D
sample families whose answer to the survey question is predetermined
E
sample families living in every third house in the neighborhood
7

Viktoria knows that it is impossible to remove a red marble from her bag that has no red marbles in it. If she reaches into the bag and pulls out a marble without looking, what is the probability that the marble will be red?

A
0
B
StartFraction 1 over 11 EndFraction
Option B
C
Three-fourths
Option C
D
1
8

The cooler at a picnic contained 4 apple juice boxes, 8 orange juice boxes, and 6 fruit punch juice boxes. A juice box is selected at random. What is the probability of the complement of choosing an orange juice box?

A
StartFraction 1 over 18 EndFraction
Option A
B
StartFraction 4 over 9 EndFraction
Option B
C
StartFraction 5 over 9 EndFraction
Option C
D
StartFraction 17 over 18 EndFraction
Option D

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