Use a Venn diagram to find the least common multiple of 3 and 7

Solve this system of equations. 12x − 18y = 27 4x − 6y = 10

For the following geometric sequence, find the recursive formula. {-80, 20, -5, } i need : ')

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).