Step-by-step explanation:
Volume of a sphere is given by
Where r is the radius of the sphere
From the question
radius = 41 in
Substitute the value into the above formula
We have
= 288695.6097
We have the final answer as
<h3>Volume = 288695.6 in³ to the nearest tenth</h3>Hope this helps you
Answer:
Distance between the points=5
Step-by-step explanation:
The distance between two points in coordinate geometry is measured by using the distance formula:
If we have given two points
Distance formula=
For (0,0) and (4,3)
Distance:
Or
Distance between the points=5
Answer:
The formula for finding exponents is multiply the number following the exponent by itself that number of times.
Answer:
For samples of size n=200, the standard error is of 0.033.
For samples of size n=300, the standard error is of 0.027.
For samples of size n=400, the standard error is of 0.024.
Step-by-step explanation:
Central Limit Theorem
The Central Limit Theorem estabilishes that, for a normally distributed random variable X, with mean and standard deviation
, the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean
and standard deviation
.
For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.
For a proportion p in a sample of size n, the sampling distribution of the sample proportion will be approximately normal with mean and standard deviation
The percentage of married couples who own a single family home is 33% for a given population.
This means that
Samples of 200:
For samples of size n=200, the standard error is of 0.033.
Samples of 300:
For samples of size n=300, the standard error is of 0.027.
Samples of 400:
For samples of size n=400, the standard error is of 0.024.