Deandre is playing a game of chance in which he tosses a dart into a rotating dartboard with 8 equal-sized slices numbered 1 through 8 . The dart lands on a numbered slice at random. This game is this: Deandre tosses the dart once. He wins $1 if the dart lands in slice 1 , $2 if the dart lands in slice 2 , $5 if the dart lands in slice 3, and $8 if the dart lands in slice 4. He loses $2.50 if the dart lands in slices 5 ,6 , 7, or 8. Find the expected value of playing the game.
$ amount
B) What can Deandre expect in the long run, after playing the game many times?
a) Deandre can expect to gain money / He can expect to win ___dollars per toss
b) Deandre can expect to lose money/He can expect to lose___dollars per toss
c) Deandre can expect to break even(neither gain or lose money)

option a is correct.

step-by-step explanation:

scale factor: it is used to find proportional measurements.

proportions means having the same ratio.

scale factor is the ratio of the model measurement to the actual measurement in a simplest form.

or we can say that the ratio of any two corresponding lengths in two similar geometric figures

if the scale factor is more than 1, then it is an enlargement,

if the scale factor less than 1, then it is a reduction.

given the two geometric figure:

by definition of proportions, we have

b

step-by-step explanation:

the equation of a line in point- slope form is

y - b = m(x - a)

where m is the slope and (a, b) a point on the line

calculate m using the slope formula

m = (y₂ - y₁ ) / (x₂ - x₁ )

with (x₁, y₁ ) = (0, 4) and (x₂, y₂ ) = (3, - 5) ← 2 points on the line

m = = = - 3

with m = - 3 and (a, b) = (3, - 5), then

y - (- 5) = - 3(x - 3), that is

y + 5 = - 3(x - 3) → b

multiplication is multiplication.   it might feel harder depending on what level of math you are in, but generally it will be the same old stuff, while implementing some new concepts and methods of solving work.