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4 years ago

12

Can you help me out with the answer

1 answer:

Y_Kistochka [10]4 years ago

6 0

Answer:

B) 13.3

Step-by-step explanation:

10×8÷6=13.3

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Since 1851, exactly 119 hurricanes have hit Florida (this includes the years 1851 and 2019),—only direct hits by hurricanes are

alukav5142 [94]

Answer:

There is a 0.58% probability of Florida being struck by four or more hurricanes in the same year.

Step-by-step explanation:

Since we have only the mean during the interval, we can solve this problem using the Poisson probability distribution.

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

Poisson probability distribution

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

In which

x is the number of sucesses

$e = 2.71828$ is the Euler number

$\mu$ is the mean in the given time interval.

In this problem, we have that:

Since 1851, exactly 119 hurricanes have hit Florida (this includes the years 1851 and 2019). Counting 1851 and 2019, there are 169 years in this interval. This means that $\mu = \frac{119}{169} = 0.704$

If the probability of hurricane strikes has remained the same since 1851, what is the probability of Florida being struck by four or more hurricanes in the same year?

This is $P(X \geq 4)$ .

Either Florida is struck by less than four hurricanes in a given year, or it is struck by 4 or more. The sum of these probabilities is decimal 1.

$P(X < 4) + P(X \geq 4) = 1$

$P(X \geq 4) = 1 - P(X < 4)$

In which

$P(X < 4) = P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3)$

So

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

$P(X = 0) = \frac{e^{-0.704}*(0.704)^{0}}{(0)!} = 0.4946$

$P(X = 1) = \frac{e^{-0.704}*(0.704)^{1}}{(1)!} = 0.3482$

$P(X = 2) = \frac{e^{-0.704}*(0.704)^{2}}{(2)!} = 0.1226$

$P(X = 3) = \frac{e^{-0.704}*(0.704)^{3}}{(3)!} = 0.0288$

$P(X < 4) = P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3) = 0.4946 + 0.3482 + 0.1226 + 0.0288 = 0.9942$

Finally

$P(X \geq 4) = 1 - P(X < 4) = 1 - 0.9942 = 0.0058$

There is a 0.58% probability of Florida being struck by four or more hurricanes in the same year.

7 0

3 years ago

How should read the number 0.32

MariettaO [177]

Answer:

zero point thirty two

Step-by-step explanation:

and if you wanna converted into a percent you would just put a % sigh

6 0

3 years ago

The volume of gas in a container at a constant temperature varies inversely as the pressure. If the volume is 32 cubic centimete

finlep [7]

Answer:

The new pressure is 4.27 pounds

Step-by-step explanation:

In this question, we have the volume varying inversely as the pressure;

Firstly, let's say the volume is V and the pressure is P

Mathematically;

V ∝ 1/P

Let us insert a constant of proportionality K

⇒ VP = K

Let's calculate the value of K

K = 32 $cm^{3}$ × 8 = 256 $cm^{3} pounds$

Now in the second scenario, pressure is unknown but we know the volume to be 60 $cm^{3}$

Recalling; VP = K

P = K/V = 256 $cm^{3} pounds$ /60 $cm^{3}$ = 4.27 pounds

7 0

3 years ago

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The robot poured too many ingredients in, and had 1/2 cup of apple pie filling left. He decided to split it up and put an equal

Gala2k [10]

I think he put in 1/6

8 0

3 years ago

Read 2 more answers

More free points just say thanks!

balu736 [363]

Answer:

Thank you

Step-by-step explanation:

8 0

3 years ago

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