Answer: Expected value of playing the game is $0.
Step-by-step explanation:
Since we have given that
Total number of colored chips = 20
Number of blue chips = 2
Number of purple chips = 4
Number of green chips = 7
Number of red chips = 7
Amount of prize he gets for blue chip = $10
Amount of prize he gets for a purple chip = $5
No amount is given for red or green
Amount he had to pay = $2
So, Expected value of playing the game is given by

Hence, Expected value of playing the game is $0.
Answer:
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Answer:
Quadratic formula is in the 2nd picture.
Step-by-step explanation:
Answers in the photo.
Solve the equation for r by finding a,b, and c of the quadratic then applying the quadratic formula.
Solution
f(x) = -20
+14x + 12 and g(x) = 5x - 6.
(f/g)(x) = 
(f/g)(x) = 
<u>Step 1: </u>Now we have to factorize the numerator.
f(x) = -20x^2 + 14x + 12
Factor out -2, we get
= -2 (10x^2 - 7x - 6)
Now we can factorize 10x^2 - 7x - 6
f(x) = -2(2x + 1) (5x - 6)
<u>Step 2: </u>Plug in the factors
(f/g)(x) = 
<u>Step 3:</u> Cancel out the common factor (5x - 6) from the numerator and the denominator, we get
(f/g)(x) = -2(2x +1) = -4x -2
Since -4x -2 is linear expression, the domain is all the real numbers.
Therefore, the answer is –4x – 2; all real numbers
Thank you :)