Larijah is creating a circular board game with a spinner with four regions that players use to determine what happens on their turns. She wants to meet these requirements: - Exactly a quarter of the circle should contain the "Lose a Turn" region. - "Move One Space" should be three times the angle as "Move Two Spaces". - "Move Two Spaces" should be twice the angle as "Trade Places With Any Opponent". What is the measure of the "Trade Places With Any Opponent" region?

step-by-step explanation:

its 512 because parenthesis and to the 2nd power is 512 so it will be 512

irst, find the z score of a score of 80. this is given by the formula z = (x-u)/o, where x is the score, u is the mean, and o is the standard deviation. this gives

z = (80-78)/12 = 1/6 = .1667

now, find what percentile a z score of 1/6 correlates to in the normal distribution.

a z score of 1/6 = .1667 is equivalent to the 56.36th percentile of the distribution. so the probability a score is over this is 1-.5636 = .4364

the mean of a sample mean is equal to the original mean. however, the standard deviation of a sample mean is equal to the original standard deviation divided by the square root of n (sample size). so the new standard deviation is 12/sqrt(16) = 3.

the new z score is 80-78/3 = 2/3 = .667. this is equivalent to the 74.86th percentile. so the probability that the mean will be greater than this score is 1-.7486 = .2514.