Practice Exam Answers

Liliana is making a vase with a circular base. She wants the area of the base to be between 135 cm squared and 155 cm squared Which circle could represent the base of the vase? Use 3 point 1 4 for pi

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?

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?

A regular polygon is drawn in a circle so that each vertex is on the circle and is connected to the center by a radius. Each of the central angles has a measure of 40 degrees How many sides does the polygon have?

Jacob is cutting a tile in the shape of a parallelogram. Two opposite angles have measures of open paren 6 n minus 70 close paren degrees and open paren 2 n plus 10 close paren degrees What are the two different angle measures of the parallelogram-shaped tile?

Two chords intersect at a point inside a circle that is not the center of the circle. Which statement must be true?

What is the center of a circle represented by the equation open paren x minus 5 close paren squared plus open paren y plus 6 close paren squared is equal to 4 squared ?

Juanita has a storage closet at her shop with extra bottles of lotion and shower gel. Some are scented and some are unscented. If she reaches into the closet and grabs a bottle without looking, she has a 42 percent chance of grabbing a bottle of shower gel. For the events "shower gel” and "scented” to be independent, what must be shown to be true?

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?

A county in North Carolina spans 532 square miles. The population density of deer in the county is 11 deer per square mile. How many deer live in the county? Round to the nearest whole number, if necessary.

How do the areas of the parallelograms compare?

What is the approximate volume of the oblique cone? Use pi almost equal to 3 point 1 4 and round to the nearest tenth.

For triangle ABC , which one is equivalent to sine of cap A ?