U IIL Use the diagram to the right for questions 8-17. In the
diagram, oT bisects S0U, maoy = 30°, and mZYOW = 110.
Find the measure of each angle.
mΖΟΥ
140
9. m. zow
308.
ss
O
W
Z
10. mduOW
11. m _SOU
2 llo
Y
12. m. TOU
364
13. m 220T
To
lio
14. Name the sides of ZOT.
15. ZZOW and ?W form a linear pair.
16. SOU and 2 _?_are vertical angles.
17. mLOs+ m2UOS = m2 _?_

2 over 5 and 4 over 15

don’t know last one sorry

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.