Answer:
y = 20/3
Step-by-step explanation:
4y + 2y + 10 = 50
Combine like terms on the left side.
6y + 10 = 50
Subtract 10 from both sides.
6y = 40
Divide both sides by 6.
y = 40/6
Reduce the fraction by dividing the numerator and denominator by 2.
y = 20/3
<span>Expected value is the sum of the probability of each even times the outcome of the event.
So she wins $10 with probability 2/8, $3 with probability 1/8, $0 with probability 3/8, and loses $3 with probability 2/8.
So,
E = 10(2/8) + 3(1/8) + 0(3/8) - 3(2/8)
=5/4 + 3/8 - 3/4
=7/4
<span>= $1.75
</span>
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</span>
Answer:
(x, y) = (-2, 7), (0, -1), (3, -13), (-1, 3)
Step-by-step explanation:
To fill in the y-values, you need to put the x-value in the equation and evaluate.
<u>for x=0</u>
y = -4(0) -1 = -1
<u>for x=-1</u>
y = -4(-1) -1 = 4 -1 = 3
__
To fill in the x-values, we can solve for x and then do as we did above.
y = -4x -1
y +1 = -4x . . . . add 1
-(y +1)/4 = x . . . divide by -4
<u>for y=7</u>
x = -(7 +1)/4 = -2
<u>for y=-13</u>
x = -(-13+1)/4 = -(-12/4) = 3
__
Then the table is ...