A ladder leans against the side of a house. The angle of elevation of the ladder is 63°, and the top of the ladder is 15 feet above the ground. Find the distance from the bottom of the ladder to the side of the house. Round your answer to the nearest tenth. (one decimal)

Which of the following represents the range of the graph of f(x) below

How many real-number solutions does the equation have? -4x^2 + 10x + 6 = 0 a. no solutions b. two solutions c. infinitely many solutions d. one solution

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).