Unit Test Answers

The spinner is equally likely to land on any of the five sections.

Nine wolves, eight female and one male, are to be released into the wild three at a time.If the male wolf is to be in the first released group and order does not matter, in how many ways can the first group of three wolves be formed?

A survey asked about the number of people who eat breakfast almost every day (B) and the number of people who buy cereal at least once a month (C). The results of the survey are shown in the Venn diagram.

A high school is hosting a blood drive. The sign-up sheet has 5 slots available for Mr. Bentley’s class and 6 slots available for Ms. Curren’s class. If there are 21 students in Mr. Bentley’s class and 23 students in Ms. Curren’s class, which expression represents the number of possible groups of students that can fill the 11 available slots?

Twelve education students, in groups of four, are taking part in a student-teacher program. Mark cannot be in the first group because he will be arriving late.How many ways can the instructor choose the first group of four education students?

Nico owns 11 instructional piano books. Two are beginner books, six are intermediate books, and three are advanced books.If two books are randomly chosen from the collection, one at a time, and replaced after each pick, what is the probability that he first chooses an advanced book and then chooses a beginner book?

Miriam is visiting five friends in her neighborhood, Louise, Mike, Nicole, Oscar, and Pascal. In each arrangement below, the first initial of each person’s name represents that person’s position as he or she is visited by Miriam.Which shows all the outcomes for this event if she visits with Nicole first and Louise last?

three

There are 22 participants in a spelling bee. In how many ways can the top 5 participants finish? Use the formula for permutations to find your answer.

There are 5 customers currently present in a coffee shop. Three of the customers are waiting in line at the front register. How many different lines of customers are possible?

Information about how the students at Vista View High School got to school this morning is shown in the table.

A coach chooses six out of eight players to go to a skills workshop.If order does not matter, in how many ways can he choose the players for the workshop?

Miguel Cabrera has had 369 at bats, and he has 127 hits and 21 home runs. (Note: The home runs are included in the hits data.) If he is challenged to a batting battle, what is the expected score of each at bat if he earns 1 point for each hit that is not a home run and 5 points for each home run?

Events X and Y are independent. The probability of X occurring is . The probability of Y occurring is . What is P(X and Y)?

A company makes a product and has no way to determine which ones are faulty until an unhappy customer returns it. Three percent of the products are faulty and will cost the company $200 each in customer service and repairs. If the company does not refund the customer when repairing the item, how much should the company charge to make a profit of $2.00 per item?