Alex is fishing from a small boat. His fishing hook is in the water 13 feet directly below him. His fish finder indicates there is a group of fish at about that same depth, but about 17 feet from his boat
How far is the group of fish from the hook? Select the two answers that apply:
-21ft
-square root of 458 ft
-30 ft
-11ft
-120ft
-square root of 120 ft

x

step-by-step explanation:

10000

step-by-step explanation: divide by 2,

the answer will be b x² +x-1

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.