Given a set of weights {1,3,9,27}, write a function to construct any number between 1 and 40. in other words, using the set above and the addition and subtraction operations, construct any integer between 1 and 40 without re-using elements.

Solve for x by completing the square. 2x^2-4x+7=0

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).

Asinusoidal function whose frequency is 1/6pi