I just need a little help figuring this outfind the value of X
1 answer:
You might be interested in
Answer:
Manuel's argument is correct. Paul used the incirrect base area to find the volume of square pyramid X
Step-by-step explanation:
step 1
Find the volume of the cone W
we know that
The volume of the cone if given by the formula
we have
substitute the given values
assume
substitute
step 2
Find the volume of the square pyramid
we know that
The volume of the pyramid is given by the formula
where
B is the area of the base
h is the height of pyramid
In this problem we have that
----> is the same that the area of the base of cone
so
----> is the same that the height of the cone
so
substitute
therefore
Manuel's argument is correct. Paul used the incirrect base area to find the volume of square pyramid X
Using the z-distribution, the sample sizes are given as follows:
a) 822.
b) 1068.
<h3>What is a confidence interval of proportions?</h3>A confidence interval of proportions is given by:
In which:
is the sample proportion.
- z is the critical value.
- n is the sample size.
The margin of error is given by:
In this problem, we have a 95% confidence level, hence, z is the value of Z that has a p-value of
, so the critical value is z = 1.96.
Item a:
The estimate is of , hence we solve for n when M = 0.03.
n = 821.2
Rounding up, a sample of 822 is needed.
Item b:
No prior estimate, hence .
n = 1067.11
Rounding up, a sample of 1068 is needed.
More can be learned about the z-distribution at brainly.com/question/25890103
#SPJ1