What is the horizontal displacement of the basic graph to produce a graph of
y = pi - 3 cos(x-2)?

2x+3y=12 x-y=6 solve the following system equations

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).

If the perimeter of the garden is 37 ft. the width is x and the length is 15 ft. what is the width of the garden in feet?