Inferences and Predictions — Unit test Answers

Geraldo wants to start a group bike ride on Sunday mornings for students at his school. He asked 30 students in the lunchroom how many miles they ride their bikes each month. He obtained the following results.8, 3, 0, 1, 2, 3, 6, 3, 0, 4, 13, 1, 3, 12, 15, 2, 1, 3, 2, 2, 0, 3, 4, 2, 6, 7, 12, 8, 4, 0The fraction shows the ratio of the number of students who ride their bikes more than 10 miles each month to the number of students surveyed. What is the value of x?

Out of a population of 1,000 students, 80 were asked by a random sampling what color they would prefer for their first car. Their responses are shown in the table below.Car ColorFavorite ColorNumber of StudentsBlue5Red18Gray27Silver14White16Using proportional reasoning, how many students out of the 1,000 would you expect to prefer a silver car?

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?

Which describes dependent events?

Use the information in the table to answer the question. Eitan and Asher are playing a game using two six-sided number cubes. To win the game, Eitan has to roll a sum of 11 or more. Which outcome would allow Asher to have a higher probability of winning the game? Select three options.

Out of a population of 700 students, 120 were asked by a random sampling to choose the green vegetable they would like to have served in the cafeteria. Their responses are shown in the table below.Cafeteria ChoicesGreen VegetableNumber of Studentspeas34green beans27broccoli23zucchini18brussels sprouts18Using proportional reasoning, about how many students out of the 700 would you expect to request broccoli to be served?

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?

Maggie’s bank has assigned her a temporary 3-digit PIN to use with her ATM card. Each digit is a number from 1 to 5, inclusive, and no digit can be used more than once in the PIN. Which multiplication problem can be used to determine the probability that the PIN she was assigned was 123?

The table below shows the possible outcomes of rolling a six-sided number cube and flipping a coin.What is the probability of getting a number less than 3 and a tails?

Walter is conducting an experiment using a spinner with 4 equal sections. Which number of trials will lead to experimental outcomes that are most similar to his predicted outcomes?

Amber must make up a vocabulary quiz. She can take it during her lunch or after school on Wednesday, Thursday, or Friday. The tree diagram shows the possible combinations of times she can make up the quiz. How many different times can she make up the quiz?

Josiah conducts an experiment that has 4 possible outcomes. Sally conducts an experiment that has 10 possible outcomes. The students conduct 50 trials each. Which statement best compares the two experiments?

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 store sells notebooks with each of the combinations of color, binding, and dividers shown in the table.Notebook FeaturesColorBindingDividerRedSpiralPocketsBlue3-ringNo PocketsGreen Yellow Black Which statements are true about the variety of notebooks that the store sells? Check all that apply.

A standard deck of 52 cards contains four suits: clubs, spades, hearts, and diamonds. Each deck contains an equal number of cards in each suit. Rochelle chooses a card from the deck, records the suit, and replaces the card. Her results are shown in the table.CardsSuitObserved FrequencyClubs29Spades13Hearts15Diamonds23How does the experimental probability of choosing a heart compare with the theoretical probability of choosing a heart?