Find the length of the midsegment. 44 22 13 15

F(x) = (x^2 + 3x − 4) and g (x) = (x+4) find f/g and state the domain.

Solve 2^x=32 and rewrite this equation in a logarithmic form

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).