Unit Test — Cumulative exam Answers

A solid piece of wood shaped as a cylinder with an 8-centimeter diameter is cut as shown.

A standard deck of 52 playing cards contains 13 cards in each of four suits: hearts, diamonds, clubs, and spades. Four cards are drawn from the deck at random.What is the approximate probability that exactly three of the cards are diamonds?

Parallelogram L M N O is shown. Angle N is (5 x) degrees and angle L is (3 x + 40) degrees.

A guidance counselor reports that in a given semester, the probability that a student chooses art as an elective is 15 percent, the probability that a student chooses art or drama is 20 percent, and the probability that a student chooses both art and drama is 2 percent.What is the probability that a student chooses drama as an elective?

Triangle A B C is shown. Angle B C A is a right angle. The length of C B is 5 inches and the length of C A is 7 inches.

The probability for event A is 0.3, the probability for event B is 0.6, and the probability of events A or B is 0.8.Why are the events not mutually exclusive?

Fifty-five percent of the members of the junior varsity swim team wear glasses. Of the team members who do not wear glasses, 30 percent of them are in the 10th grade.To the nearest whole percent, what is the probability that a randomly chosen member of the JV swim team does not wear glasses and is in the 10th grade?

People at the state fair were surveyed about which type of lemonade they preferred. The results are shown below.Pink lemonade: 156 males, 72 femalesYellow lemonade: 104 males, 48 females

A regular pentagon has side lengths of 14.1 centimeters and an apothem with length 12 centimeters.

Quadrilateral W X Y Z is shown. The length of W X is (x + 8) millimeters, the length of X Y is (2 x minus 5) millimeters, the length of Z Y is 15 millimeters, and the length of W Z is (x + 2) millimeters.