Answer:
(x, y) = (-2, -6)
Step-by-step explanation:
Equate the two expressions for y to get an equation in x alone.
x -4 = 4x +2
-6 = 3x . . . . . . . subtract 2+x
-2 = x . . . . . . . . divide by 3
y = -2-4 = -6 . . . use the first equation to find y
The solution is (x, y) = (-2, -6).
The shape has sixty sides
working out:
180 - 174 = 6
360 / 6 = 60
If 2 boxes remain empty, it means that we put all three balls in one single box.
Suppose the full box is box number 1. For each ball, we have three choices - we may put it in box number 1, 2 or 3. This means that each box has a 1/3 chance of receiving each ball.
So:
- we choose box 1 for ball 1 - that's a 1/3 chance
- we choose box 1 for ball 2 - that's a 1/3 chance
- we choose box 1 for ball 3 - that's a 1/3 chance
So, the probability of putting all balls in box 1 is
But this is the probability of putting all ballx in box 1, and you can repeat this logic for box 2 and 3.
So, the probability of putting all balls in one single box is 1/27 for each box, for a total of
X= 9.5 B/c you do 7.5+2 which equals 9.5