What is the function g(x) created from f(x) = x? by moving the graph right 4 units, adding vertical compression by a factor of 1/3 and shifting the graph up 6 units?

What is the equation of a line passing through the point (6,1) and parallel to the line whose equation 3x=2y+4

Solve 2^x=32 and rewrite this equation in a logarithmic form

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).