A square pyramid has a height of 6 units and a volume of 70 units3. If a square prism has the same base area and volume as the s
2 answers:
Answer:
The height is 2 units
Step-by-step explanation:
Find the area of the base of the square pyramid
we know that
The volume of the square pyramid is equal to
where
B is the area of the base and H is the height of the pyramid
we have
substitute in the formula and solve for B
step 2
Find the height of the square prism
we know that
The volume of the square prism is equal to
where
B is the area of the base and h is the height of the prism
we have
substitute in the formula and solve for h
You might be interested in
Answer:
3 6/25
Step-by-step explanation:
Make the mixed fractions improper fractions and multiply them together. After that make the multiplied improper fraction a mixed fraction (answer in drawings)
Answer:
And we can solve this using the following z score formula:
And if we use this formula we got:
So we can find this probability equivalently like this:
Step-by-step explanation:
Previous concepts
Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".
The Z-score is "a numerical measurement used in statistics of a value's relationship to the mean (average) of a group of values, measured in terms of standard deviations from the mean".
Solution to the problem
Let X the random variable that represent the heights of a population, and for this case we know the distribution for X is given by:
Where and
We select n =100. Since the distribution for X is normal then we know that the distribution for the sample mean is given by:
We want this probability:
And we can solve this using the following z score formula:
And if we use this formula we got:
So we can find this probability equivalently like this: