Jackie has 50 feet of fencing that he can use to make a small rectangular pen for his llamas in his backyard. He is trying to decide how long to make the pen. The quadratic function f(x)=-x squared +50x gives the area of the pen, in square feet, when he makes it feet long. What are the values of in the table below?

If angle 2=3x +1 and angle 3=2x +4what is angle 2

Identify the type of observational study described. a statistical analyst obtains data about ankle injuries by examining a hospital's records from the past 3 years. cross-sectional retrospective prospective

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).