Simplifying
5x + -9 = 38
Reorder the terms:
-9 + 5x = 38
Solving
-9 + 5x = 38
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '9' to each side of the equation.
-9 + 9 + 5x = 38 + 9
Combine like terms: -9 + 9 = 0
0 + 5x = 38 + 9
5x = 38 + 9
Combine like terms: 38 + 9 = 47
5x = 47
Divide each side by '5'.
x = 9.4
Simplifying
x = 9.4
Answer:
See explanation.
Step-by-step explanation:
The possible values of fx are 2, 0, -1, you either win $2, win $0, or lose $1.
The probability of winning $2 is the probability of selecting a black ball, so it is 4/14 or 2/7.
The probability of not earning any money is the probability of an orange ball being selected, so its 2/14 or 1/7.
The probability of losing $1 is the probability of a white ball being selected, so it is 8/14 or 4/7.
