The water level in a harbor is described by the function y = 7 cosine (pix/6) + 25, where y represents the water level measured in feet, and x represents the number of hours since high tide. The period of time between high tides is 12 hours. After approximately how many hours is the water expected to reach a depth of 28 feet the second time? Round to the nearest hour. DO NOT JUST WRITE THE ANSWER, PLEASE PROVIDE EXPLANATION

Astudent survey asked: "how tall are you (in inches)? " here's the data: 67, 72, 73, 60, 65, 86, 72, 69, 74 give the five number summary. a. median: 73, mean: 70.89, iqr: 5, min: 60, max: 74 b. 60, 66, 72, 73.5, 86 c. 60, 67, 72, 73, 74 d. 0, 60, 70, 89, 74, 100

For what values of x is x2 + 2x = 24 true?

Suppose that 3% of all athletes are using the endurance-enhancing hormone epo (you should be able to simply compute the percentage of all athletes that are not using epo). for our purposes, a “positive” test result is one that indicates presence of epo in an athlete’s bloodstream. the probability of a positive result, given the presence of epo is .99. the probability of a negative result, when epo is not present, is .90. what is the probability that a randomly selected athlete tests positive for epo? 0.0297