9. In right AABC shown below, the midpoint of hypotenuse AC is located at D and segment BD is drawn. If AB = 12 and BC = 16, then explain why BD = 10. Hint: consider what you know about the diagonals of a
rectangle.
A
D

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).