The 35-member Science Club is meeting to choose a student government representative. The members decide that the representative, who will be chosen at random, cannot be any of the 3 officers of the club. What is the probability that James, who is a member of the club but not an officer, will be chosen?
The fluctuation of water depth at a pier is shown in the figure below. One of the following values gives the positive difference, in feet, between the greatest water depth and the least water depth shown in the graph. Which value is it?
If g(x) = x² , which expression is equal to g(x + 1) ?
B.) x² + 1
C.) x² + 2x + 1
D.) x² - x
E.) x² + x + 1
What is the complete solution of the equation
|8 - 4x| = 40 ?
A.) x = 8 or x = 12
B.) x = 8 or x = -12
C.) x = -8 or x = -12
D.) x = -8 or x = 12
E.) x = -8
Excluding sales tax, how much will you save if you purchase a $12.00 item that is on sale for 25% off?
The ratio of side lengths for a triangle is exactly 7:11:13. In a second triangle, similar to the first, the shortest side is 9 inches long. To the nearest tenth of an inch, what is the length of the longest side of the triangle?
E.) Cannot be determined from the given information
A system of linear equations is shown below.
4y = 3x + 12
-4y = -3x - 8
Which of the following describes the graph of the
system of linear equations in the standard (x,y) coordinate plane?
A.) Two parallel lines with negative slope
B.) Two parallel lines with positive slope
C.) A single line with a negative slope
D.) A single line with a positive slope
E.) Two perpendicular lines
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?
The lengths of the sides of right triangle ABC are shown in the figure below.
What is the cotangent of ∠B?
In the triangle shown below, what is the average of angles a,b,c,d, and e?
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