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Aleonysh [2.5K]
2 years ago
15

Plz help ill give you brainlist

Mathematics
1 answer:
GaryK [48]2 years ago
3 0
In terms of diameter (d), the area (A) of a circle is given by
  A = (π/4)d²
For your larger circle ...
  A = (π/4)*(24 km)²
  A = 144π km² . . . . . . . . area of larger circle

For your smaller circle ...
  A = (π/4)*(8 km)²
  A = 16π km² . . . . . . . . . area of smaller circle


The ratio of the two areas is
  (larger area)/(smaller area) = ((π/4)*(24 km)²) / ((π/4)*(8 km)²)
  = (24/8)² . . . . . . . . . . . . π/4, km cancel, so it simplifies to this
  = 3²
  = 9 . . . . . . this many small circles have the same area as the larger circle

Changing km to ft does not change the ratio of areas.
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Step-by-step explanation:

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Divide both sides by x

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<h3>What are some of the properties of Poisson distribution?</h3>

The Poisson distribution is a discrete probability distribution that describes the likelihood of a specific number of events occurring in a specified span of time or space, if these events occur at a constant mean rate and regardless of the time since the last occurrence.

Let X ~ Pois(λ)

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Since standard deviation is the square root (positive) of variance,

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Its probability function is given by

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We have to find the probability that on any day, the number of special orders sent out will be exactly 3. Therefore, the value of x will be 5.

Using the Poisson distribution,

P(x) = \dfrac{e^{-\lambda}\lambda ^x}{x!}\\\\P(5) =\dfrac{e^{-4.2}(4.2)^5}{5!}\\\\P(5) = 0.1633

Hence, the probability that, for any day, the number of special orders sent out will be exactly 3 is 0.1633.

Learn more about Poisson distribution here:

brainly.com/question/7879375

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