Louisa, Kristen, and Javier live in the same neighborhood. They created a map showing the locations of their houses on the coordinate plane below. Louisa's house is located at (8,2), Kristen's house is located at (−3,2), and Javier's house is located at (8,−8). On Saturday morning, they all went for walks to their friends' houses. Louisa left her house and walked 3 blocks north, 5 blocks west, and then 1 block south. Kristen left her house and walked 4 blocks south, 7 blocks east, and 3 blocks north. Javier left his house and walked 9 blocks west, 3 blocks north, and then 4 blocks east. If each unit of the coordinate plane represents 1 block, how many blocks away from each other were Louisa and Javier when they each finished their walks?

1

step-by-step explanation:

it's the only multiple of both and the least

answer

step-by-step explanation:

mathpapa

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.