What is the product? One-eighth times three-elevenths

Mathematics

1 answer:

Nastasia [14]3 years ago

7 0

Answer:

3/88

Step-by-step explanation:

when multiplying fractions, you can just multiply across. make sure to simplify!

You might be interested in

a spherical balloon is being inflated so that the radius is increasing at a rate of 3 cm/sec. find the rate at which the volume

neonofarm [45]

Answer: 1200pi cubic cm per sec

========================================

Work Shown:

dr/dt = 3 is the rate of change of the radius

V = (4/3)pi*r^3 ..... volume of a sphere

dV/dt = (4/3)*3*pi*r^2*dr/dt ... chain rule

dV/dt = 4*pi*r^2*dr/dt

dV/dt = 4*pi*r^2*3

dV/dt = 12*pi*r^2

dV/dt = 12*pi*10^2 ... plug in r = 10

dV/dt = 1200pi

3 0

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 $P(X \geq 4)$ .