Josh has a piggy bank filled with coins. The number of dimes is three times the number of nickels. The number of nickels is five more than the number of pennies. There are the same amount of pennies and quarters. The total value of all of the coins is $7.85. Find the number of each type of coin Josh has.

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).