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Fynjy0 [20]
2 years ago
7

The number of pits in a corroded steel coupon follows a Poisson distribution with a mean of 6 pits per cm2. Let X represent the

number of pits in a 1 cm2 area. NOTE: This is a multi-part question. Once an answer is submitted, you will be unable to return to this part.
Find P(X = 2).
Mathematics
1 answer:
Bas_tet [7]2 years ago
4 0

Answer:

P(X=2)=0.0446

Step-by-step explanation:

If X follows a Poisson distribution, the probability p to have x pits in 1 cm2 is calculated as:

p(x)=\frac{e^{-m}*m^x}{x!}

Where m is the mean of pits per cm2, so, replacing m by 6 pits per cm2, we get that the probability is equal to:

p(x)=\frac{e^{-6}*6^x}{x!}

Now, the probability P(x=2) that there are 2 pits in a 1 cm2 is calculated as:

p(x=2)=\frac{e^{-6}*6^2}{2!}\\p(x=2)=0.0446

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Which situation is best represented by the following equation? 11h+40=458
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Answer:

D

Step-by-step explanation:

11 would equal how much he gets 11 per hour, and then a forty dollar bonus and the total equals 458.

7 0
2 years ago
The perimeter of a pool table is about 7.8m. four times the length equals nine times the width. What are the dimensions of the t
Nana76 [90]

The pool's dimension are  l = 2.7 m and w = 1.2 m

Step-by-step explanation:

Step 1 :

Given

The pool's perimeter = 7.8 m

Four times the pool's length = nine times the pool's width.

=> 4l = 9w  => l = (\frac{9}{4}) w

Where l is the pool's length and w is the pool's width

Step 2:

The rectangle's formula for perimeter is 2 (l+w)

Substituting l = (\frac{9}{4}) w ,

2[ (\frac{9}{4}) w + w]  = 7.8 (given)

(\frac{13}{2}) w  = 7.8 = > w = 1.2 m

Step 3 :

l = (\frac{9}{4}) w = (\frac{9}{4}) 1.2 = 2.7

l = 2.7 m

Step 4 :

Answer :

The pool's dimension are  l = 2.7 m and w = 1.2 m

6 0
2 years ago
Sarah and her friends are going blueberry picking. Sarah picks $b$ blueberries. Michael picks $3$ more than half as many as Sara
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The correct answer is b=3+1/2 divided by 5+3 after that +10-3*5*3 . add the answers up and thats the solution
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2 years ago
The perimeter of a rectangle is represented by 4x2 + 5x − 2. The perimeter of a smaller rectangle is represented by x2 + 3x + 5.
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<span>4x2 +5x - 2 -x2 +3x +5 Simplified: 3x2 + 8x +3 In order to determine the difference in size, you must subtract the perimeter of the smaller rectangle from the perimeter of the larger rectangle.</span>
6 0
2 years ago
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Mr Hughes is competing in the Mr. Legs campaign to raise money for the coral shores high school scholarship fund. On the first d
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4 0
2 years ago
Read 2 more answers
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