Explain the difference between the slant height of a pyramid and the height of the pyramid.
1 answer:
See the diagram below.
is the height, and 
is the slant height.
The height is the distance from the base of the pyramid to the vertex (the top of the pyramid). It runs perpendicular to the base.
The slant height is the distance from the base of the triangles which make up its sides to the vertex. It runs perpendicular to this base as well.
The height is the distance from the base of the pyramid to the vertex (the top of the pyramid). It runs perpendicular to the base.
The slant height is the distance from the base of the triangles which make up its sides to the vertex. It runs perpendicular to this base as well.
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Answer:
The probability table is shown below.
A Poisson distribution can be used to approximate the model of the number of hurricanes each season.
Step-by-step explanation:
(a)
The formula to compute the probability of an event <em>E</em> is:
Use this formula to compute the probabilities of 0 - 8 hurricanes each season.
The table for the probabilities is shown below.
(b)
Compute the mean number of hurricanes per season as follows:
If the variable <em>X</em> follows a Poisson distribution with parameter <em>λ</em> = 7.56 then the probability function is:
Compute the probability of <em>X</em> = 0 as follows:
Compute the probability of <em>X</em> = 1 as follows:
Compute the probabilities for the rest of the values of <em>X</em> in the similar way.
The probabilities are shown in the table.
On comparing the two probability tables, it can be seen that the Poisson distribution can be used to approximate the distribution of the number of hurricanes each season. This is because for every value of <em>X</em> the Poisson probability is approximately equal to the empirical probability.
