A bird cage hangs 5 feet off the floor in Mr. Gruber's kitchen with Judy the canary chirping away inside it. Paddington the cat is crouched on the floor, ready to pounce and attack with his declawed paws! He's been eye balling Judy from an angle of elevation of 38 degrees. How far will Paddington need to jump to reach Judy? (Answers to three decimal places please.)

u bout ugly as   a mf

step-by-step explanation: lol

irrational, cannot

use distributive property on all like terms and change your signs if you have a double negative or if you have positive/negative

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.