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saveliy_v [14]
3 years ago
7

Solve the proportion:

Mathematics
1 answer:
Sav [38]3 years ago
4 0

Answer:

Cross multiply

6k+18=150

6k= 132

k=132/6

k=23.66

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Ranking in order from best to worst : Point, line, plane.

Step-by-step explanation:

12.A point in geometry is a location with no size and is shown by a dot. A point is the most fundamental object in geometry that represents a position.

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Point, line and plane : brainly.com/question/13148935

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The number of messages arriving at a multiplexer is a Poisson random variable with mean 15 messages/second. Use the central limi
Mila [183]

Answer:

0.048 is the probability that more than 950 message arrive in one minute.

Step-by-step explanation:

We are given the following information in the question:

The number of messages arriving at a multiplexer is a Poisson random variable with mean 15 messages/second.

Let X be the number of messages arriving at a multiplexer.

Mean = 15

For poison distribution,

Mean = Variance = 15

\text{Standard Deviation} = \sqrt{\text{Variance}} = \sqrt{15} = 3.872

From central limit theorem, we have:

z = \displaystyle\frac{x-n\mu}{\sigma\sqrt{n}}

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P(x > 950)

P( x > 950) = P( z > \displaystyle\frac{950 - (60)(15)}{\sqrt{(15)(60)}}) = P(z > 1.667)

= 1 - P(z \leq 1.667)

Calculation the value from standard normal z table, we have,  

P(x > 950) = 1 - 0.952 = 0.048

0.048 is the probability that more than 950 message arrive in one minute.

3 0
3 years ago
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