1. The formula for the volume, V, of a sphere with radius r is . If the radius of a baseball is inches, what is the volume to the nearest cubic inch?
2. If a gumball is randomly chosen from a bag that contains exactly 6 yellow gumballs, 5 green gumballs, and 4 red gumballs, what is the probability that the gumball chosen is NOT green?
3. The number of students participating in fall sports at a certain high school can be shown with the following matrix:
The athletic director estimates the ratio of the number of sports awards that will be earned to the number of students participating with the following matrix:
Given these matrices, what is the athletic director's estimate for the number of sports awards that will be earned for these fall sports?
4. The following chart shows the current enrollment in all social studies classes-Geography, U.S. History, World Cultures, and Government-at Iron Mountain High School.
What is the average number of students enrolled per section in U.S. History?
5. The following chart shows the current enrollment in all social studies classes-Geography, U.S. History, World Cultures, and Government-at Iron Mountain High School.
The school wants to have all of the students enrolled in social studies classes read the same book at the same time so that the author of the book can speak to the students at an assembly. The school originally purchased two classroom sets of 30 books each, but now one set is missing 3 books and the other is missing 5. For which of the following class periods, if any, are there NOT enough books available for each student to have one book?
6. The following chart shows the current enrollment in all social studies classes-Geography, U.S. History, World Cultures, and Government-at Iron Mountain High School.
What fraction of students is enrolled in Section B?
7. What expression must the center cell of the table below contain so that the sums of each row and each column are equivalent?
8. Reggie knows how to make 5 different entrees, 4 different side dishes, and 6 different desserts. How many distinct complete meals, each consisting of an entrée, a side dish, and a dessert, can Reggie make?
9. At a bottling plant, 10,000 liters of carbonated water are needed to produce 3,000 bottles of soda. How many liters of carbonated water are needed to produce 750 bottles of soda?
10. Two functions are defined as f(a) = 2a - 1 and g(a) = a2 + 1. Which of the following expressions represents f(g(a))?