The sum of two consecutive integers is at most 3. what is the greatest possible value for the greater integer?

What is the exact volume of the cylinder (radius 13 in., height 30 in.)

Which is the completely factored from of xy^3-x^3y

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).