A competition is held in which a maximum of 50 points is awarded to a car on the basis of its general attractiveness. The function defined by the rational expression C(x)= approximates the cost, in thousands of dollars, of restoring a car so that it will win x points.
(a) Simplify the expression for C(x) by performing the indicated subtraction.
(b) Use the simplified expression to determine, to two decimal places, how much it would cost to win points.

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).