Cumulative Exam — Cumulative exam Answers

A triangular prism is shown. A cylinder is cut out of the center of the prism. The triangular base has side lengths of 14 and 10 units. The heights of both the cylinder and prism are 8 units. The cylinder has a diameter of 5 units.

The graph below shows the amount of time Misha spent outside over a 30-day period. How might the graph be considered misleading?

A gymnastics coach records the scores of a gymnast and develops the probability distribution below. What is the probability the gymnast scores a 9 or 9.5?Probability DistributionGymnastics Score: XProbability: P(X)50.025.50.0260.066.50.170.167.50.1480.188.50.189?9.50.02

A solid right pyramid has a square base. The length of the base edge is 4 cm and the height of the pyramid is 3 cm.

Ariana, Boris, Cecile, and Diego are students in the service club. Three of the four students will be chosen to attend a conference.Which choice represents the sample space, S, for this event?

Mrs. Gomes found that 40% of students at her high school take chemistry. She randomly surveys 12 students. What is the probability that at most 4 students have taken chemistry? Round the answer to the nearest thousandth.

The distribution of the values of a population is shown below, and a simple random sample is drawn from the population. Based on this information alone, can the sample be used to make inferences about the population?

A steel hex nut has two regular hexagonal bases and a cylindrical hole with a diameter of 1.6 centimeters through the middle. The apothem of the hexagon is 2 centimeters.

Which set of numbers can represent the side lengths, in millimeters, of an obtuse triangle?

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?

A farmer grows vegetables on seven acres, fruit on six acres, and flowers on two acres. Out in his fields, he finds a ladybug.To the nearest tenth of a percent, what is the theoretical probability that the ladybug was not found within the acres of flowers?

Vladimir rolls a six-sided number cube 36 times. If getting a 3 is a success, what is the probability of a success?

For which value of is cot () undefined?

The longest side of an isosceles obtuse triangle measures 20 centimeters. The other two side lengths are congruent but unknown.What is the greatest possible whole-number value of the congruent side lengths?

A theater production group is making frames to support wall-like props. Three-foot beams form right triangles with 10-foot beams to allow them to stand, as shown in the image.

On a unit circle, the vertical distance from the x-axis to a point on the perimeter of the circle is twice the horizontal distance from the y-axis to the same point. What is sin?

The law of cosines is used to find the value of m.

What are the exact values of the six trigonometric functions for radians?

A burrito restaurant recorded 200 customer orders. Each order was categorized by whether it was takeout or dine-in and whether it was placed on a weekday or a weekend.The results are shown below: Using this table, decide which statement about independence is true. Which statement is correct?

Which function is the same as ?