A(x) = x2. What is g(x)? g(x)
5-
f(x)
X
5
-5
O A. g(x) = (4x)
O B. g(x) = 4x2
O c. g(x) = 16x2
O D. g(x)= 4x2

B

Step-by-step explanation:

5x² - 3 - (x² - 4x - 8)

5x² - 3 - x² + 4x + 8

4x² + 4x + 5

2,600 divided by 80 = 32.5

step-by-step explanation:

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.