Which of the following represents a function that passes through the point x = a and "bounces off" the point x = b, and has a a degree of 5? A. y = (x - a)(x - b)^4

B. y = (x - a)^2(x - b)^2(x - c)

C. y = (x - a)^2(x - b)^3

D. y = (x - a)(x - b)^2

E. None of These

the answer is a

step-by-step explanation:

answer: '

the distance between points l and m

step-by-step explanation:

b, i believe, but not sure.

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.