A coin that comes up heads with probability p is continually

flipped until the pattern H, H, T appears. (That is, you stop flipping

when the most recent flip lands tails and the two immediately preceding it lands heads.) Let X denote the number of flips made. Find

E[X]. You may leave your answer in terms of an equation in E[X]

and p. solution: Note that this problem is a modified version of one

of your homework problems. Proceed using one-step arguments.

the slope of the first function is -3. (3/1)

the slope of the second function is 1. (13-10/6-3).

since |-3| is greater than |1|, the function with the steepest slope is the first.

figure c

step-by-step explanation:

hope this .

so firstly, we need to isolate the y variables to be able to solve these inequalities. firstly, add 0.5x on both sides of the first inequality and subtract 1.5x on both sides of the second inequality:

now since the slope is positive for the first inequality, this means that the line going upwards belongs to the first inequality, and the line going downwards belongs to the second inequality.

next, since y ≥ in the first inequality, this means that the shaded region will be above the first inequality's line, thus shading regions a and b.

next, since y ≤ in the second inequality, this means that the shaded region is going to be below this line, thus shading regions a and c.

since both lines shade region a, this means that region a is the solution.

step-by-step explanation:

mark brainliest!

y -5 = (-1/4)(x + 8)

step-by-step explanation: