Answer:
a) - $0.169
b) - $0.04242
Step-by-step explanation:
Data provided in the question:
Bet amount = $4
Probability of losing $4 = 
Probability of gaining $4 = 
a) The expected value
= Winning amount × winning probability - Losing amount × Losing probability
= $4 ×
- $4 × 
= $4 × 
= - $0.169 (Negative sign means loss)
b) The amount lost for each dollar =
=
= - $0.04242
Simplifying
p + -4 = (-9) + p
Reorder the terms:
-4 + p = (-9) + p
-4 + p = -9 + p
Add '-1p' to each side of the equation.
-4 + p + -1p = -9 + p + -1p
Combine like terms: p + -1p = 0
-4 + 0 = -9 + p + -1p
-4 = -9 + p + -1p
Combine like terms: p + -1p = 0
-4 = -9 + 0
-4 = -9
Solving
-4 = -9
Let n be the larger integer and n-2 be the smaller integer.
n² - (n - 2)²
= n² - (n - 2)(n - 2)
= n² - (n² - 4n - 4)
= n² - n² + 4n + 4
= 4n + 4
= 4(n + 1)
No matter what value n is, it will always be a multiple of 4.
Answer:
1138050
Step-by-step explanation:
Multiply 843,000 by 0.35 and then add the numbers together.
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