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antoniya [11.8K]
3 years ago
10

The equation shown below represents a circle. Which statement describes the key features of the circle that can be determined fr

om the equation?
x2+10x + y2 - 2y +22=0
The circle has a center at (-5, 1) and radius of 2 units.
The circle has a center at (5.-1) and radius of 2 units.
The circle has a center at (-5,1) and radius of 4 units.
The circle has a center at (5, -1) and radius of 4 units.
Mathematics
1 answer:
bija089 [108]3 years ago
3 0

Answer:

The circle has a center at (5.-1) and radius of 2 units.

Step-by-step explanation:

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Assume that BK Call Center receives 2 phone calls in one hour on average. If the department works 10 hours a day receiving the c
MrMuchimi

Using the Poisson distribution, the probabilities are given as follows:

A. 0.0888 = 8.88%.

B. 0.1354 = 13.54%.

C. 0.8646 = 86.46%.

<h3>What is the Poisson distribution?</h3>

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

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

The parameters are:

  • x is the number of successes
  • e = 2.71828 is the Euler number
  • \mu is the mean in the given interval.

Item a:

10 hours, 2 calls per hour, hence the mean is given by:

\mu = 2 \times 10 = 20.

The probability is P(X = 20), hence:

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

P(X = 20) = \frac{e^{-20}20^{20}}{(20)!} = 0.0888

Item b:

1 hour, hence the mean is given by:

\mu = 2

The probability is P(X = 0), hence:

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

P(X = 0) = \frac{e^{-2}2^{0}}{(0)!} = 0.1354

Item c:

The probability is:

P(X \geq 1) = 1 - P(X = 0) = 1 - 0.1354 = 0.8646

More can be learned about the Poisson distribution at brainly.com/question/13971530

#SPJ1

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2 years ago
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