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Over [174]
2 years ago
7

Number of data values: 2105

Mathematics
1 answer:
Nataly_w [17]2 years ago
8 0

Answer:

0.5

Step-by-step explanation:

We are given that

Number of data value=2105

Sum of data values=1008.08

We have to find the average .

We know that

Average=\frac{sum\;of\;data}{total\;number\;of\;data\;values}

Using the formula

Average=\frac{1008.08}{2105}

Average=0.47\approx 0.5

Hence, the average=0.5

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3 years ago
A local animal rescue organization receives an average of 0.55 rescue calls per hour. Use the Poisson distribution to find the p
andreyandreev [35.5K]

Answer:

B) 0.894

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.

A local animal rescue organization receives an average of 0.55 rescue calls per hour.

This means that \mu = 0.55

Probability that during a randomly selected hour, the organization will receive fewer than two calls.

P(X < 2) = P(X = 0) + P(X = 1)

In which

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

P(X = 0) = \frac{e^{-0.55}*(0.55)^{0}}{(0)!} = 0.577

P(X = 1) = \frac{e^{-0.55}*(0.55)^{1}}{(1)!} = 0.317

P(X < 2) = P(X = 0) + P(X = 1) = 0.577 + 0.317 = 0.894

5 0
3 years ago
Para encher 2/5 de uma piscina são necessários 60.000 litros de água. Qual é a capacidade dessa piscina?
natali 33 [55]

Answer:

A capacidade dessa piscina é de 150.000 litros de água.

Step-by-step explanation:

A capacidade da piscina é de x.

Para encher 2/5 de uma piscina são necessários 60.000 litros de água.

Isto implica que:

\frac{2x}{5} = 60000

2x = 60000*5

x = \frac{60000*5}{2}

x = 150000

A capacidade dessa piscina é de 150.000 litros de água.

8 0
2 years ago
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Answer: FIRST OPTION

Step-by-step explanation:

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(Tangent\ line)^2=(Secant\ line)(External\ Secant\ line)

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18+Diameter

If the radius is 7, then the diameter is:

D=7*2=14

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Secant\ line=18+14=32

You also know that:

External\ Secant\ line=18\\Tangent\ line=x

Keeping the above on mind, you can substitute values and solve  for x:

x^{2}=32*18

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