What is the volume of the cone with diameter 4 ft and height 4 ft? Round to the nearest cubic foot.
2 answers:
Answer:
Step-by-step explanation:
The volume of a cone can be calculated with the following formula:
Where "r" is the radius and "h" is the height.
The radius is half the diameter, then "r" is:
Since we know that radius and the height, we can substitute them into the formula.
The volume of the cone to the nearest cubic foot is:
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Answer:
The confidence interval will be given by:
, in which z is related to the confidence level.
For a confidence level of x%, z is the value in the z-table that has a pvalue of
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.
In the context of this problems:
It means that the sampling distributions of the sample mean of 500 components will be approximated normal, with mean 200,000 and standard deviation
To build the confidence interval:
The confidence interval for the average length of life of the electronic components they produced will be given by:
, in which z is related to the confidence level.
For a confidence level of x%, z is the value in the z-table that has a pvalue of