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3 years ago

77/99 as a fraction or mixed number in simplest form

Mathematics

1 answer:

11111nata11111 [884]3 years ago

8 0

If you divide both by 11, you get 7/9. 7/9 is the fraction in simplest form.

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The arrivals of clients at a service firm in Santa Clara is a random variable from Poisson distribution with rate 2 arrivals per

ICE Princess25 [194]

Answer:

1.76% probability that in one hour more than 5 clients arrive

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 time interval.

The arrivals of clients at a service firm in Santa Clara is a random variable from Poisson distribution with rate 2 arrivals per hour.

This means that $\mu = 2$

What is the probability that in one hour more than 5 clients arrive

Either 5 or less clients arrive, or more than 5 do. The sum of the probabilities of these events is decimal 1. So

$P(X \leq 5) + P(X > 5) = 1$

We want P(X > 5). So

$P(X > 5) = 1 - P(X \leq 5)$

In which

$P(X \leq 5) = P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3) + P(X = 4) + P(X = 5)$

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

$P(X = 0) = \frac{e^{-2}*2^{0}}{(0)!} = 0.1353$

$P(X = 1) = \frac{e^{-2}*2^{1}}{(1)!} = 0.2707$

$P(X = 2) = \frac{e^{-2}*2^{2}}{(2)!} = 0.2707$

$P(X = 3) = \frac{e^{-2}*2^{3}}{(3)!} = 0.1804$

$P(X = 4) = \frac{e^{-2}*2^{4}}{(4)!} = 0.0902$

$P(X = 5) = \frac{e^{-2}*2^{5}}{(5)!} = 0.0361$

$P(X \leq 5) = P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3) + P(X = 4) + P(X = 5) = 0.1353 + 0.2702 + 0.2702 + 0.1804 + 0.0902 + 0.0361 = 0.9824$

$P(X > 5) = 1 - P(X \leq 5) = 1 - 0.9824 = 0.0176$

1.76% probability that in one hour more than 5 clients arrive

8 0

3 years ago

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What is the value of x? *

EleoNora [17]

In a circle, the parts of the diagonals multiply to equal each other, so 6·4=2x.

2x = 24, x = 12.

6 0

2 years ago

Consider the equation 4x=8.<br> Which value could be substituted x to make the equation TRUE?

const2013 [10]

X=2 (4 x 2 = 8) so 2 is the answer

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3 years ago

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What is the prime factorization of 2,800

11111nata11111 [884]

$2800|2\\1400|2\\.\ 700|2\\.\ 350|2\\.\ 175|5\\.\ \ 35|5\\.\ \ \ 7|7\\.\ \ \ 1|\\\\\boxed{2800=2\times2\times2\times2\times5\times5\times7=2^4\times5^2\times7}$

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3 years ago

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Can someone solve this

castortr0y [4]

Answer:

Step-by-step explanation:

1/2 ^(-1)=2

8×2=16

Hope that helped.

8 0

3 years ago