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3 years ago

Isolate the variable for x/5=7.5 1 x=35 2 x=1.5 3 x= 37.5 4 x= 2.5

Mathematics

1 answer:

monitta3 years ago

6 0

Answer:

3, x=37.5

Step-by-step explanation:

Since you need to get x alone, you need to get rid of the ÷5. to do this, you need to do the opposite. ×5.

multiply both sides by 5 and you get

x= 7.5(5)

x= 37.5

so the answer would be

3, x=37.5

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3 years ago

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 $P(X \geq 4)$ .