Kelly is selling mini-cakes and cinnamon rolls for a fundraising event. She sells her mini-cakes for $8.95 each and the cinnamon rolls for $2.65 each. She has to make at least 6 cakes and more than a dozen rolls. If she wants to make at least $180, choose the inequality showing how many of each she can make to meet her goal. A.8.95x + 2.65y ≥ 180
B.8.95x + 2.65y ≤ 180
C.8.95x - 2.65y ≥ 180
D.8.95x - 2.65y ≤ 180

is means division by fractions

step-by-step explanation:

answer: y=4000x+14000

step-by-step explanation:

x = 23.78

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.