The proportion of adults living in a small town who are college graduates is estimated to bep= 0.6. To test this hypothesis, a random sample of 15 adults is selected. If the number ofcollege graduates in the sample is anywhere from 6 to 12, we shall not reject the null hypothesisthatp= 0.6; otherwise, we shall conclude thatp6= 0.6.(a) Evaluateαassuming thatp= 0.6. Use the binomial distribution.(b) Evaluateβfor the alternative hypothesesp= 0.5 andp= 0.7.

As part of an annual fundraiser to raise money for diabetes research, diane joined a bikeathon. the track she biked on was 1,920 yards long. diane biked 38.5 laps. her sponsors agreed to donate an amount of money for each mile she biked. how many miles did she bike? first fill in the blanks on the left side using the ratios shown. then write your answer. given ratios: 5280ft / 1 mi , 1 mi /5280 ft , 1,920 yards / 1 lap , 1 lap / 1,920 yards , 3 ft / 1 yard , 1 yard / 3 ft. blanks: 38.5 laps / 1 yard x (blank) x (blank) x (blank) = (blank) miles i'm really confused on how to do this, and the explanations aren't exactly . if you could walk me through how to do this, it would be greatly appreciated.

Select the sequences that are geometric.

D(5, 7). e(4,3), and f(8, 2) form the vertices of a triangle. what is mzdef? oa. 30° ob. 45° oc. 60° od 90°