On a test that has a normal distribution, a score of 35 falls three standard deviations below the mean, and a score of 47 falls one standard deviation above the mean.
Determine the mean of this test.

For f(x)=2x+1 and g(x)= x^2 -7, find (f•g)(x)

The trigonometric ratios sine and secant are reciprocals of each other

Atextile fiber manufacturer is investigating a new drapery yarn, which the company claims has a mean thread elongation of 12 kilograms with a standard deviation of 0.5 kilograms. the company wishes to test the hypothesis upper h subscript 0 baseline colon mu equals 12 against upper h subscript 1 baseline colon mu less-than 12 using a random sample of n equals 4 specimens. calculate the p-value if the observed statistic is x overbar equals 11.8. round your final answer to five decimal places (e.g. 98.76543).