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3 years ago

Can someone help me with this question

Mathematics

1 answer:

Gemiola [76]3 years ago

8 0

Answer:

$3$

Step-by-step explanation:

Write in the exponential form with a base of 3

$9^{\frac{1}{2} }$ → $(3^{2})^{\frac{1}{2} }$

Simplify the expression by multiplying the exponents.

$2 * \frac{1}{2} = 1$

$3^{1} = 3$

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What point is located on the x-axis Pls help

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Answer:

Point C is located on the x-axis.

Step-by-step explanation:

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3 years ago

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The united states mint released five state quarters every year. there are 50 states. How many years did it take for all 50

Gekata [30.6K]

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3 years ago

Help please is for now

zmey [24]

Answer: 5

Steps:
5x - 2y = 30
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3 years ago

Which value of x makes the equation 3x = 36 true? A. 10 B. 12 C. 14 D.16

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Assume that the Poisson distribution applies and that the mean number of hurricanes in a certain area is 6.9 per year. a. Find t

VLD [36.1K]

Answer:

a) 9.52% probability that, in a year, there will be 4 hurricanes.

b) 4.284 years are expected to have 4 hurricanes.

c) The value of 4 is very close to the expected value of 4.284, so the Poisson distribution works well here.

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.

6.9 per year.

This means that $\mu = 6.9$

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This is P(X = 4).

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

$P(X = 4) = \frac{e^{-6.9}*(6.9)^{4}}{(4)!}$

$P(X = 4) = 0.0952$

9.52% probability that, in a year, there will be 4 hurricanes.

b. In a 45-year period, how many years are expected to have 4 hurricanes?

For each year, the probability is 0.0952.

Multiplying by 45

45*0.0952 = 4.284.

4.284 years are expected to have 4 hurricanes.

c. How does the result from part (b) compare to a recent period of 45 years in which 4 years had 4 hurricanes? Does the Poisson distribution work well here?

The value of 4 is very close to the expected value of 4.284, so the Poisson distribution works well here.

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3 years ago