Mikayla is a waitress who makes a guaranteed 50$ sign, 50 per day in addition to tips of 20 percent of all her weekly customer receipts. she works 6 days per week. which of the following functions best represents the amount of money that mikayla makes in one week? a. f(t) = 50 + 20tb. f(t) = 300 + 20tc. f(t) = 50 + 0.2td. f(t) = 300 + 0.2t

  d.  f(t) = 300 + 0.2t

Step-by-step explanation:

Variables are not defined, so we have to assume that "t" represents Mikayla's weekly customer receipts. The contribution to her pay will be 0.2t, and her weekly salary will be ($50/day × 6 days) = $300. The total of these is ...

  f(t) = 300 + 0.2t

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.