Find FIVE solutions for the equation. 2x + y = 10

a (4,2), (8,6), (7,5), (5,3), (10,8)

b (6,3), (9,6), (5,2), (4, 1), (7,4)

c (10,6), (8,5),(4,3), (2, 2), (12,7)

d(4,2), (3, 4), (5,0), (6, -2), (7,-4)

I think the answer is d (4,2), (3,4), (5,0), (6,-2), (7,-4)

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.