Estimate the original volume of the pyramid in Fig. 15.28, given that its frustum has a 4 m by 4 m square top which is 12 m vert
1 answer:
The volume of the pyramid is 2496 cu.m.
<h3>What is a Pyramid ?</h3>A pyramid is a three dimensional structure which has a polygon base and in general triangular faces which join at the top .
It is given that
A pyramid has a 4 m by 4 m square top
Height = 12 m
Base = 20 m
The volume of a square pyramid with a is given by
V = (1/2) * ( Area of base + Area of ) * height of the
from the base
V = 0.5 * ( 20 *20 + 4*4 ) * 12
V = 2496 cu.m
The volume of the pyramid is 2496 cu.m.
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Answer:
46.67% probability that they flew with airline B.
Step-by-step explanation:
We have these following probabilities:
A 40% probability that a traveler chooses airline A.
A 35% probability that a traveled chooses airline B.
A 25% probability that a traveler chooses airline C.
If a passenger chooses airline A, a 10% probability that he arrives late.
If a passenger chooses airline B, a 15% probability that he arrives late.
If a passenger chooses airline C, a 8% probability that he arrives late.
If a randomly selected traveler is on a flight from Seattle which arrives late to Sydney, what is the probability that they flew with airline B?
This can be formulated as the following problem:
What is the probability of B happening, knowing that A has happened.
It can be calculated by the following formula
Where P(B) is the probability of B happening, P(A/B) is the probability of A happening knowing that B happened and P(A) is the probability of A happening.
So
What is the probability that the traveler flew with airline B, given that he was late?
P(B) is the probability that he flew with airline B.
So
P(A/B) is the probability of being late when traveling with airline B. So P(A/B) = 0.15.
P(A) is the probability of being late. This is the sum of 10% of 40%(airline A), 15% of 35%(airline B) and 8% of 25%(airline C).
So
Probability
46.67% probability that they flew with airline B.