Trinity collects rainwater in a cylinder rain barrel. The area of the base of the cylinder is 2x2 – 7x + 3 square feet and the height of the cylinder is x + 5 feet. The
volume of the rain barrel can be found using the equation shown below. Which of the
following represents the volume of the cylinder?
V = (2x2 – 7x + 3 )(x + 5)

A. 2x3 + 17x2 + 38x + 15 ft3 C. 2x3 + 3x2 – 32x + 15 ft3
B. 2x3 – 7x2 + 15 ft3 D. 2x3 + 4x2 – 25x + 8 ft3

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).

The frequency table shows the results of a survey comparing the number of beach towels sold for full price and at a discount during each of the three summer months. the store owner converts the frequency table to a conditional relative frequency table by row. which value should he use for x? round to the nearest hundredth. 0.89 0.90 0.92 0.96

John has 1/2 pound of oranges to share with julie. if they share the oranges equally, how much will each of them have?