Which statements describe or apply the principal of conservation of energy? Select all that apply. A. Energy cannot be created or destroyed; it can only be transferred from one location to another. B. Home insulation can reduce energy bills by conserving energy that would otherwise be lost. C. If the temperature in one location decreases, then the temperature in another location increases. D. The total energy in a closed system such as Earth stays the same. E. Nonrenewable energy resources can be conserved, but they will eventually run out

eve and marks ratios are equivalent

step-by-step explanation:

to find the total number of combinations, multiply the quantity of each item by each other:

2 pairs of shoes x 3 pairs of shorts = 6 different combinations.

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.