Agame has 3 possible outcomes: the first outcome has the probability of 1/6. the result is winning $12. the second outcome has the probability of 1/3. the result is winning $3. the third outcome has the probability of 1/2. the result is losing $8. in the long run, you will $ per game.

In the long run, you will lose $1 per game.

To find the expected value of this game, we have to multiply the chances by each prize. Then, add up all the possibilities.

(1/6) x $12 + (1/3) x $3 + (1/2) x $8 

2 + 1 - 4 = -1

On average, you will lose $1 per game.

set the angles equal to each other

4x+65=5y-20

2y+25=4x+35

the values of x and y might even be the same number

Step-by-step explanation: