Applications of quadratic equations
a ball is thrown vertically upward. after t seconds, its height h (in feet) is given by the function
h = -16t^2+ 96t+6.
a. what is the height from which the ball is thrown (the initial height)?
b. how long does it take for the ball to reach its highest point?
c. what is the maximum height that the ball will go?
d. when will the ball hit the ground?
e. at what times will the ball reach 86 feet?

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).