Three oblique pyramids have the same regular square base. Which one has a volume of 15 cubic units if the area
2 answers:
Answer:
<h2>The second pyramid, placed in the middle, has a volume of 15 square units.</h2>Step-by-step explanation:
Givens
- The area of the bases is 15 square units.
- All of them have the same base.
The volum of a pyramid is defined as
Where is the are of the base and
is the height.
So, all of them have
The first pyramid has a height of 4, replacing this in the formula we have
The second pyramid has a height of 3
The third pyramid has a height of 12
Therefore, the second pyramid, placed in the middle, has a volume of 15 square units.
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The probability that exactly 800 chips are acceptable is less than 0.000001
<h3>How to determine the probability?</h3>The given parameters are:
- Sample, n = 3000
- Percentage acceptable, p = 72%
- Acceptable chips, x = 800
The binomial probability is represented as:
So, we have:
The data values are large.
So, we use a statistical calculator to evaluate the expression
Using the calculator, we have:
P(300) < 0.000001
Hence, the probability that exactly 800 chips are acceptable is very small i.e. less than 0.000001
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