The standard IQ test has a mean of 96 and a standard deviation of 12. We want to be 90% certain that we are within 2 IQ points of the true mean. Determine the required sample size.

Evaluate 8j -k+148j−k+14 when j=0.25j=0.25 and k=1k=1.

Given that y varies directly to the square root of (x + 1), and that y = 1 when x = 8,(a)express y in terms of .x,(b)find the value of y when x = 3,(c)find the value of x when y = 5.

Factor the polynomial by its greatest common monomial factor.