Latrell is packing boxes that can contain two types of items. board games weigh 3 pounds and remote controlled cars weigh 1.5 pounds. the box can hold no more than 25 pounds. let x represent the number of board games. let y represent the number of remote controlled cars.

Find the exact value of each of the following. in each case, show your work and explain the steps you take to find the value. (a) sin 17π/6 (b) tan 13π/4 (c) sec 11π/3

Show your workcan a right triangle have this sides? *how to prove it without using the pythagorean theorema*

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).