A piece of gravel is kicked from the roof of a building, 240 feet above the ground. After t seconds, the piece of gravel has fallen 16t^2 feet. How far from the ground is it after 3 seconds?

Given the statements, "a square root of 16 is 4," and "a square root of 9 is -3," complete the following blanks with the correct truth-values. p is and q is , so the statement, "a square root of 16 is 4 or a square root of 9 is -3" is .

Find the value of p for which the polynomial 3x^3 -x^2 + px +1 is exactly divisible by x-1, hence factorise the polynomial

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).