Put common terms in evidence and simplify:
what is the volume of a cone with a diameter of 30 feet and height of 60 feet? use 3.14 for pi. enter your answer in the box
2 answers:
The volume of a cone with a diameter of 30 feet and a height of 60 feet is 14130.
<h3>What is the volume of a cone?</h3>The volume of the cone is given by;
The volume of a cone with a diameter of 30 feet and a height of 60 feet.
The radius of the cone is;
Substitute all the values in the formula
Hence, the volume of a cone with a diameter of 30 feet and height of 60 feet is 14130.
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The probability that, for any day, the number of special orders sent out will be exactly 3 is 0.1633.
<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)
Then we have:
E(X) = λ = Var(X)
Since standard deviation is the square root (positive) of variance,
Thus,
The standard deviation of X =
Its probability function is given by
Given the mean is 4.2.
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,
Hence, the probability that, for any day, the number of special orders sent out will be exactly 3 is 0.1633.
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