Lottery Prizes A lottery offers one $900 prize, two S700 prizes, two $300 prizes, and four. S200 prizes. One thousand tickets are sold at $6 each. Find the expectation if a person buys five tickets. Assume that the player's ticket is replaced after each draw and
that the same ticket can win more than one prize. Round to two decimal places for currency problems.

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?