According to a study, the probability that a randomly selected teenager shopped at a mall at least once during a week was 0.65. let x be the number of students in a randomly selected group of 60 that will shop at a mall during the next week. (a) compute the expected value and standard deviation of x. (round your answer to two decimal places.) hint [see example 5.]

What is the distance between (–2 1/2,-3) and (1, –3)?

In one day there are too high tides into low tides and equally spaced intervals the high tide is observed to be 6 feet above the average sea level after six hours passed a low tide occurs at 6 feet below the average sea level in this task you will model this occurrence using a trigonometric function by using x as a measurement of time assume the first high tide occurs at x=0. a. what are the independent and dependent variables? b. determine these key features of the function that models the tide: 1.amplitude 2.period 3.frequency 4.midline 5.vertical shift 6.phase shift c. create a trigonometric function that models the ocean tide for a period of 12 hours. d.what is the height of the tide after 93 hours?

Awater tank holds 18000 gallons. how long will it take for the water level to reach 6000 gallons if the water is used at anaverage rate of 450 gallons per day