A deck company wants to build uniquely shaped decks. How many square feet of wood would the company need to cover the deck designed below shaped like a regular pentagon and a trapezoid? The height of the trapezoid is 4.5 ft. Round your answer to one decimal place. Hint: To find the area of the pentagon, divide it into 5 similar triangles. Use the fact that the radius of the pentagon (the distance from each vertex to the center) is 4.25 ft. 5 5 ft 8 ft

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).