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marshall27 [118]
4 years ago
12

The perimeter of a square is 4 times as great as the lenth of any of its sides determine if the perimeter of a square is proport

ional to its side lenth
Mathematics
1 answer:
Leokris [45]4 years ago
5 0
Let; x = side length
perimeter = 4x

since it's a square, with equal sides, the perimeter will always be proportional to it's side length. increase the side, increases the perimeter.

proportional: two quantities having the same constant ratio or relation. The quantities x and y are proportional if:
y/x = k
where k is the constant of proportionality.

4x/x = 4
k = 4
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Answer:

a) The mean number of cases is 0.14608 cases.

b) The probability that the number of cases is exactly 0 or 1 is 0.990.

c) The probability of more than one case is 0.010

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Step-by-step explanation:

We can model this problem with a Poisson distribution, with parameter:

\lambda=r*t=0.000011*13,280=0.14608

a) The mean amount of cases is equal to the parameter λ=0.14608.

b) The probability of having 0 or 1 cases is:

P(k=0)=\frac{\lambda^0 e^{-\lambda}}{0!}=\frac{1*0.864}{1} =0.864\\\\ P(k=1)=\frac{\lambda^1 e^{-\lambda}}{0!}=\frac{0.14608*0.864}{1} =0.126\\\\P(k\leq1)=0.864+0.126=0.990

c) The probability of more than one case is:

P(k>1)=1-P(k\leq 1)=1-0.990=0.010

d) The cluster of 4 cases can not be due to pure chance, as it is a very high proportion of cases according to the average rate. Just having more than one case has a probability of 1%.

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