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snow_lady [41]
4 years ago
8

What would the radius be as well as the coordinates for P?

Mathematics
1 answer:
BaLLatris [955]4 years ago
3 0

Answer:

Center: (0,0)

Radius: 5

Step-by-step explanation:

Let O(xo,yo) be the center (of the circle) with the coordinates xo, yo.

If R is the radius, then we have:

(x-xo)²+(y-yo)²=R².

In our case: x²+y²=25, the center is at (0,0), and R²=25, so R=5

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3 years ago
A book has 200 pages. The number of mistakes on each page is a Poisson random variable with mean 0.01, and is independent of the
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Answer:

198 pages have no mistakes.                                      

Step-by-step explanation:

We are given the following in the question:

The number of mistakes on a page follows a poison distribution with

\mu = \lambda = 0.01

Formula:

P(X =k) = \displaystyle\frac{\lambda^k e^{-\lambda}}{k!}\\\\ \lambda \text{ is the mean of the distribution}

We have to find the probability that there are no mistakes on a page.

P(X =0) = \displaystyle\frac{(0.01)a^0 e^{-0.01}}{0!} = 0.9901

Thus, approximately 99.01% of the pages have no mistakes.

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Thus, 198 pages have no mistakes.

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4 years ago
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