Solve the system of inequalities: y + 2x > 3 and y 3.5x − 5. The first inequality, y + 2x > 3, is A. Y -2x+3
C. Y -2x-3
in slope-intercept form.
The first inequality, y + 2x > 3, has a
A. Solid
B. Dashed
boundary line.
The second inequality, y 3.5x − 5, has a
A. Solid
B. Dashed
boundary line.
Both inequalities have a solution set that is shaded
A. Above
B. Below
their boundary lines.

A. (-2, 2)
B. (0, 0)
C. (1, 5)
D. (3, 1)
is a point in the solution set of the system of inequalities.
(Please explain how to get the answers!)

answer: it is 1: 47 pm

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.

the correct answer would be c