Answer:
See Explanation
Step-by-step explanation:
The question is incomplete; So, I will solve making assumptions
Required
Number of times to land on U
First, calculate the theoretical probability of U
The expected number (E) of time to land on U is then calculated as:
Approximate
<em>8 times</em>
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<em>Follow the above steps, and you will arrive at your answer</em>
The customer will pay $24.00 for a dress normally priced at $30.00
Answer:
183/8 or 22.875
Step-by-step explanation:
Take 22.5 and put it over 1 so 22.5/1
And then multiply by 8 to get a common denominator (180/8) then add the 3/8 and you get 183/8 or 22.875
Answer:
Carlos is 35 years old now
Step-by-step explanation:
Assume that Carlos is x years old now
∵ Carlos is x years old now
∵ Carlos is 33 years younger than Kristen
- Kirsten's age is the sum of x and 33
∴ Kirsten is x + 33 years old now
2 years ago
∵ Carlos's age = x - 2
∵ Kristen's age = x + 33 - 2 = x + 31
∵ Kristen's age was 2 times Carlos's age
- Equate Kristen's age by 2 times Carlos's age
∴ x + 31 = 2(x - 2)
- Simplify the right hand side
∴ x + 31 = 2x - 4
- Subtract x from both sides
∴ 31 = x - 4
- Add 4 to both sides
∴ 35 = x
∵ x represents Carlos's age now
∴ Carlos is 35 years old now
When
, you're left with
When
or
, you're left with
Adding the two equations together gives
, or
. Subtracting them gives
,
.
Now, you have
By just examining the leading and lagging (first and last) terms that would be obtained by expanding the right side, and matching these with the terms on the left side, you would see that
and
. These alone tell you that you must have
and
.
So the partial fraction decomposition is
