Match the following graphs with its' corresponding inequality: 1. 5>x
a)
. 10 - 5 0 5
2.5 b)
3. x > 10
- 10 - 5 0 5
c)
4. 52x
- 10 - 5 0 5
5.5 d)
- 10 - 5 0 5
6. x<10
e)
10 - 5 0
OHH.
10
10
10

b

step-by-step explanation:

your answer would be 12

sorry i just need to anwers this to get points

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.