Let x be the probability of winning and let y be the probability of losing. Then we can write the following equation:
2x - y = -0.65 ..............(1)
the sum of the probabilities of winning and losing must equal 1.
x + y = 1............(2)
Rearranging (2), gives:
y = 1 - x ............(3)
Plugging the expression for y from (3) into (1), we get:
2x - 1 + x = -0.65
which simplifies to:
3x = 0.35
Therefore x = 0.117 and y = 0.883.
The expected value of the game will be a loss of 65 cents if the probability of winning is 0.117 and the probability of losing is 0.883.
Answer:
27 people
Step-by-step explanation:
Out of 10 people, 7 people ordered a hot dog.
Multiply both sides by 9:
Out of 90 people,
people ordered a hot dog.
Thus, 63 people ordered a hot dog.
Number of people who did not order a hot dog: 
Answer:
5.5x + 1.5
Step-by-step explanation:
P = 2(l + w)
P = 2(1.25x + 3 + 3x - 1.5)
To find f(x) - g(x), simply subtract g(x) from f(x).

If you need to simplify, we can find a common denominator:
Answer:

Step-by-step explanation:
Given
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← factor denominator
=
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We require the fractions to have a common denominator.
Multiply numerator/denominator of first fraction by x
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Subtract terms on numerator leaving the common denominator
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= 