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Morgarella [4.7K]
3 years ago
14

Joe is considering pursuing an MBA degree. He has applied to two different universities. The acceptance rate for applicants with

similar qualifications is 25% for University A and 40% for University B. What is the probability that Joe will be accepted at one and only one university?
Mathematics
1 answer:
ANEK [815]3 years ago
7 0

Answer:

The probability that Joe will be accepted at one and only one university

P(A n B ) = 0.1

Step-by-step explanation:

Given data the acceptance rate for applicants with similar qualifications is 25% for University A

P(A) = 25% =0.25

The acceptance rate for applicants with similar qualifications is 40% for University B

P(B) = 40% =0.40

<u>Independent events:</u>

let E and F are said to be independent events  then

P(E n F ) = P(E ) P(F)

both universities are independent

The probability that Joe will be accepted at one and only one university

P(A n B ) = P(A) P(B) = 0.25 X 0.40 = 0.1

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Si elevas un numero negativo a potencia impar el resultado es negativo?
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6 0
3 years ago
The length of a rectangular garden is 8 feet longer than it’s width. The garden is surrounded by a sidewalk that is 4 feet wide
Westkost [7]
Answer:

The length = 20
The width = 12 

Explanation:

Let the Length of the garden be L and the Width W 
Therefore the area of the garden = L*W 
But we know that L = W + 8 
Therefore the area of the garden can be expressed as W*(W + 8) 
When the brackets are expanded this equals W^2 + 8W

The area of the recctangle which includes the path and garden will have a length of L + 8 (ie the length of the garden + 4 feet at the top and 4 feet at the bottom) 
The width will be W + 8 (width of garden + 4 feet at the left and 4 feet at the right) 
Therefore the area will be (W + 8)*(L +8) 
Once again we know that L = W + 8 
Therefore the area of the path/garden = (W +8)(W +8 +8) 
=(W +8)(W +16) 
=W^2 +24W + 128 

We know that the path alone has an area of 320 square feet. Therefore if we subtract the area of the garden (W^2 + 8W) from the area of the path/garden the area left is the area of the path only 

Therefore W^2 + 24W + 128 - (W^2 + 8W) = 320 
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Simplify 
16W + 128 = 320 
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divide both sides of the equation by 16 
W = 12 
As L = W + 8 
L = 12 + 8 = 20 
7 0
3 years ago
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Step-by-step explanation:

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3 years ago
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Answer:

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guapka [62]
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