The formula for the volume of a cube is s3, where s is the length of one side. Glendale Gourmet sells cheese cubes with a side length of 2 centimeters. The volume of each cheese cube is
cubic centimeters.

The manager is considering selling cheese cubes with a side length of 4 centimeters. The volume of each cheese cube would be
cubic centimeters.

The volume of the larger cheese cube is
times larger than the smaller cheese cube.

mujhko hui na

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.