Apyramid with a square base with dimensions 12 by 7 is shown. a cone is cut out of the center of the pyramid. the cone has a height of 10 and a diameter of 6.
which expressions represent the volume of the composite figure (the shaded figure)? check all that apply.

(7)(12)(10) – π(32)(10)
one-third(7)(12)(10) – one-thirdπ(32)(10)
one-third(7)(12)(10) + one-thirdπ(32)(10)
280 – 30π
280 + 30π
840 – 90π

Graph the equation. select integers for x

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).

Consider the following equation. 1/2x^3+x-7=-3sqrtx-1 approximate the solution to the equation using three iterations of successive approximation. use the graph below as a starting point. a. b. c. d.