Find the measure of angle x in the figure below: two triangles are shown such that one triangle is inverted and share a common vertex. the lower triangle has two angles at the base marked as 75 degrees each. the angle at the vertex of the inverted triangle at the top is marked as x degrees. 15° 25° 30° 60°

answer: what in the world is this

step-by-step explanation:

y=-2x+1500

step-by-step explanation:

+1500

2 over one

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.