Mariah is playing a simple game of dice. For every 1, 4, or 6 rolled, Mariah will
win $4. For any other number, she must pay $2. How much money can Mariah
expect to win or lose?
A. Lose $3
B. Win $1
C. Win $3
D. Lose $1

Correct option: B -> win $1

Step-by-step explanation:

Mariah will win for the values of 1, 4 or 6.

These are 3 out of 6 possible values of the die, so the probability of winning is 3/6 = 50%, and the probability of losing is 100% - 50% = 50%

The expected value for winning cases is the value times the probability, so:

E(win) = 4 * 0.5 = 2

The expected value for losing cases is:

E(lose) = -2 * 0.5 = -1

So the final expected money is:

E(total) = E(win) + E(lose) = 2 - 1 = 1

So she can expect to win $1

Correct option: B

we have three similar triangles, because each has a right angle and shares an angle.   let's write the angles in order: opposite to short leg, long leg, hypotenuse.

cab similar to bad similar to cbd

or as ratios,

ca: ab: cb = ba: ad: bd = cb: bd: cd

we also know

ac = ad + cd

(ad+cd): ab: cb = ba: ad: bd = cb: bd: cd

(ad+cd)/cb=cb/cd

we have cb=6, ad=5 and seek x=cd.

we reject the negative root and conclude x=4

answer: 4

the multiples of 15 are 15, 30,45, 60, 75, 90, 105, 120, 135, 150, 165, 180, 195,   210, 225, 240, 255, 270, 285, 300, 315, 330, 345, 360, 375,   390, 405, 420, 435, 450, 465, 480, 495, 510, 525, 540, 555, 570, 585, 600, 615, 630, 645, 660, 675, 690, 705, 720, and 735.

the factors of 15 are 1, 3, 5, and 15.

hope that , fam!

-une, your fren : )