Kinda need a hand Given: sin(theta)=3/5 and cos x = -12/3 ; evaluate the following expression.
(theta: Quadrant I, x : Quadrant II.)
sin( theta+ x )

-16/65
-33/65
-56/65

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).