A piling for a high-rise building is pushed by two bulldozers at exactly the same time. One bulldozer exerts a force of 1850 pounds in a westerly direction. The other bulldozer pushes the piling with a force of 3250 pounds in a northerly
direction. What is the direction of the resulting force upon the piling, to the nearest degree?

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).