Liza wants to have more than $750 in her savings account before she will leave for college. Right now she has $300, and she is going to babysit to earn $12.00 an hour. How many hours will Liza need to babysit before she leaves for college?

37 and 1/2 hours

Step-by-step explanation:

750-300= $450 needed to be earned

450 divided by 12= 37.5 or 37 and 1/2 hours

one peck is 9.309 quarts

9.309x 2

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.