Two marbles are drawn at random and without replacement from a box containing 2 red, 3 green, and 4 blue marbles.

Let's define the following events:

A = {two red marbles are drawn}
B = {two green marbles are drawn}
C = {two blue marbles are drawn}
D = two marbles of the same color are drawn}

Find the probabilities of the following events:

(a) P(A), P(B), P(C), and P(D).

(b) P(A|D).

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?