suppose we spin the wheel, observe the color that the pointer stops on, and repeat the process until the pointer stops on blue. what is the probability that we will spin the wheel exactly three times?

8

step-by-step explanation:

just put √(2) * √(32) into a calculator. that will make the answer be 8.

x is the total time in minutes for the free response

you are given number of questions as 15 - m and time per item as 8 minutes

to find x multiply the two givens together:

x = 8 * (15-m) = 8(15-m)

step-by-step explanation:

assume that you have 3 different side lengths.   apply the pythagorean theorem here:   square each of the two shortest sides; call them a and b, so that their squares are a² and b².   also square the longest side, calling the result c².

now, if a² + b² = c² is true, the triangle is a right triangle; otherwise it is not a right triangle.