Let X denote a student's number of physically active days in a week. In the 2019 Minnesota Student Survey, a random sample of n = 303 eleventh-grade students from Carver County had a sample mean of x = 3.69 days and a standard deviation of s = 2.25 days. The histogram of X for this random sample is given on the top of the next page. Let µ denote the population mean number of physically active days in a week for the 11th-grade students from Carver County.

Which represents the inverse of the function f(x) = 4x? h(x) = x + 4 h(x) = x – 4 h(x) = x h(x) = x

Find the x-intercepts of the parabola withvertex (1,1) and y-intercept (0,-3).write your answer in this form: (x1,if necessary, round to the nearest hundredth.

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).