Answer:
$20
Step-by-step explanation:
Bin A: Bin B: Bin W:
white ball: 20% $1: 75% $8: 5/6
black ball: 80% $7: 25% $500: 1/6
first we can calculate the expected return of bins B and W:
expected return if the ball is black = ($1 x 75%) + ($7 x 25%) = $2.50
expected return if the ball is white = ($8 x 5/6) + ($500 x 1/6) = $90
expected return of the game = (expected return of a black ball x probability of choosing a black ball) + (expected return of a white ball x probability of choosing a white ball) =($2.50 x 80%) + ($90 x 20%) = $2 + $18 = $20
Rewrite the percentage as a decimal:
8% = 8/100 = 0.08
Multiply the previous result by 24000:
24000*0.08 = $1920
Answer: Y= -5 and X= 1
Step-by-step explanation:
Linear equations, huh? Okay, well we'll subtract for this problem. 7x minus 7x is nothing, so x is all cancelled out. Negative y minus 3y is -4y. And 12 minus -8 is 20, since the two negatives become a positive. So we have -4y = 20, so y equals -5. Great, so now we plug in y in one of the equations. I'll chose the top one. Our new equation is: 7x+5=12. Subtract both sides by 5, and we have 7x=7. Well, this means that x equals 1, therefore giving y equals -5, and x equals 1.
Aight, let's check. Plug in both variables for both equations. We get 7+5=12, and 7-15= -8
Answer:
24 miles per gallon
Step-by-step explanation:
Take the numbers of miles and divide by the number of gallons
96 miles / 4 gallons
24 miles per gallon