Ineed select the correct answer from each drop-down menu. sam and sully are electricians. the graph represents the amount in dollars that sam charges in terms of the number of hours he works. the amount in dollars that sully charges in terms of the number of hours he works is represented by the function y = 22x + 36.

the initial amount sam charges is blank the initial amount sully charges. sam’s hourly rate is blank sully’s hourly rate.

blank 1 options: more than less than
blank 2 options: more than less than

step-by-step explanation:

.95

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.