A solid lies between planes perpendicular to the x-axis at xequalsminus4 and xequals4. The cross-sections perpendicular to the x-axis between these planes are squares whose bases run from the semicircle y equals negative StartRoot 16 minus x squared EndRoot to the semicircle y equals StartRoot 16 minus x squared EndRoot. Find the volume of the solid.

Lena reflected this figure across the x-axis. she writes the vertices of the image as a'(−2, 8), b'(−5, 6), c'(−8, 8), d'(−4, 2).

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).

Lines b and c are parallel. what is the measure of 2? m2 = 31° m2 = 50° m2 = 120° m2 = 130°