3. An eagle flying in the air over water drops an oyster from a height of 39 meters. The distance the oyster is from the ground as it falls can be represented by the function h(t) = -4.9t^2+ 39, where t is time measured in seconds. To catch the oyster as it falls, the
eagle flies along a path represented by the function g(t) = -4t + 27.
Part A: If the eagle catches the oyster, then at what height does the eagle catch the
oyster
Part B: After how many seconds does it take the eagle to catch the oyster

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).