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Contact [7]
2 years ago
6

What are the center and the radius of a circle with the equation (x + 5)² + (y - 4)² = 81

Mathematics
1 answer:
Alexeev081 [22]2 years ago
6 0

Step-by-step explanation:

We know that if the equation of the circle is (x-h)^2 + (y-k)^2 = r^2, it has a center of (h,k) and a radius of r.

Matching this up with the given equation, we get the center is (-5, 4) and the radius is 9.

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Answer: 1 right angle is the maximum


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If electricity power failures occur according to a Poisson distribution with an average of 3 failures every twenty weeks, calcul
Wittaler [7]

Answer:

0.9898 = 98.98% probability that there will not be more than one failure during a particular week.

Step-by-step explanation:

In a Poisson distribution, the probability that X represents the number of successes of a random variable is given by the following formula:

P(X = x) = \frac{e^{-\mu}*\mu^{x}}{(x)!}

In which

x is the number of sucesses

e = 2.71828 is the Euler number

\mu is the mean in the given interval.

3 failures every twenty weeks

This means that for 1 week, \mu = \frac{3}{20} = 0.15

Calculate the probability that there will not be more than one failure during a particular week.

Probability of at most one failure, so:

P(X \leq 1) = P(X = 0) + P(X = 1)

Then

P(X = x) = \frac{e^{-\mu}*\mu^{x}}{(x)!}

P(X = 0) = \frac{e^{-0.15}*0.15^{0}}{(0)!} = 0.8607

P(X = 1) = \frac{e^{-0.15}*0.15^{1}}{(1)!} = 0.1291

Then

P(X \leq 1) = P(X = 0) + P(X = 1) = 0.8607 + 0.1291 = 0.9898

0.9898 = 98.98% probability that there will not be more than one failure during a particular week.

6 0
3 years ago
Solve the equation for x. the square root of the quantity x plus 4 end quantity minus 7 equals 1
HACTEHA [7]

Answer:

<h2>x = 60</h2>

Step-by-step explanation:

I hope it helps :)

\sqrt{x+4} -7=1\\\mathrm{Add\:}7\mathrm{\:to\:both\:sides}\\\sqrt{x+4}-7+7=1+7\\\sqrt{x+4}=8\\\mathrm{Square\:both\:sides}\\\left(\sqrt{x+4}\right)^2=8^2\\x+4=64\\x = 64-4\\x = 60

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3 years ago
Question:
Scorpion4ik [409]

Answer:

substituting  & graphing

Step-by-step explanation:

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3 years ago
Choose the phrase that best describes the matrix
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Answer:

coefficent matrix

Step-by-step explanation:

P. 366

"If the column of constant terms is not included, the matrix reduces to that of the coefficent matrix of the system"

-1 -3 -1

9 -9 -1

-1 -3 4

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3 years ago
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