Cheri has a box of cookies to share with her friends. If she gives each friend 6 cookies, she will have 1 cookie left over. If she gives each friend 4 cookies, she will have 29 cookies left over. How many friends does Cheri have?

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).