Consider and encode the following problem. The salt has been stolen! Well, it was found that the culprit was either the Caterpillar, Bill the Lizard or the Cheshire Cat. The three were tried and made the following statements in court: CATERPILLAR: Bill the Lizard ate the salt. BILL THE LIZARD: That is true! CHESHIRE CAT: I never ate the salt. As it happened, at least one of them lied and at least one told the truth. Who ate the salt?

If f(x)= sqrt4x+9+2, which inequality can be used to find the domain of f(x)?

What is x3+3x2−16x−48 divided by x−1?

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).