The school that Scott goes to is selling tickets to the annual dance competition. On the first day of ticket sales the school sold 2 adult
tickets and 14 child tickets for a total of $164. The school took in
$130 on the second day by selling 5 adult tickets and 7 child tickets. What is the price of one adult ticket?

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).