An igloo can be modeled as a hemisphere. Its radius measures 6.3 m. Find its volume in cubic meters. Round your answer to the ne
1 answer:
The volume of the igloo is 523.43 m^3
<h3></h3><h3>How to get the volume of the igloo?</h3>We know that the volume of a sphere of radius R is:
Where pi = 3.14
Then the volume of a hemisphere is half of that.
In this case, we have a hemisphere with a radius of 6.3m, then the volume will be:
If you want to learn more about volume:
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Answer:
Step-by-step explanation:
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 central limit theorem states that "if we have a population with mean μ and standard deviation σ and take sufficiently large random samples from the population with replacement, then the distribution of the sample means will be approximately normally distributed. This will hold true regardless of whether the source population is normal or skewed, provided the sample size is sufficiently large".
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".
Data given
n = 25000 represent the automobile policy holders
represent the population mean
represent the population standard deviation
Let T the variable that represent the total of interest on this case. We can assume that the random variable for an individual policy holder is given by:
From the central limit theorem we know that the distribution for the sample mean is given by:
Solution to the problem
First we need to find the distribution for the random variable T like this:
And the total T is given by:
We can find the expected value, variance and deviation for this random variable like this:
And we are interested on this probability:
And we can use the Z score formula given by:
