Is 8/9 greater than 5/10
2 answers:
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Answer:
The approximated value of the standard deviation is 0.35.
Step-by-step explanation:
According to the Central Limit Theorem if we have an unknown population with mean <em>μ</em> and standard deviation <em>σ</em> and appropriately huge random samples (<em>n</em> > 30) are selected from the population with replacement, then the distribution of the sample mean will be approximately normally distributed.
Then, the mean of the distribution of sample means is given by,
And the standard deviation of the distribution of sample means is given by,
The information provided is:
<em>n</em> = 100
<em>σ</em> = 3.5
<em>μ</em> = 66
As the sample size is quite large, i.e. <em>n</em> = 100 > 30, the central limit theorem can be applied to approximate the sampling distribution of sample mean by the Normal distribution.
Then the approximated value of the standard deviation of sampling distribution of sample mean is:
Thus, the approximated value of the standard deviation is 0.35.
The required radius of the cylinder that can be covered by the paint exists at 3.8 feet.
Franco has enough paint to protect an area of about 226 square feet. He must paint a cylinder that exists 5 feet, and the maximum possible radius of the cylinder that can be covered by the paint exists to be determined.
<h3>What is a cylinder?</h3>The cylinder exists described as a 3D solid that holds two identical bases joined by a curved surface, at a particular distance.
Here, Franco keeps sufficiently paint to cover an area of about 226 square feet.
Area of the cylinder = 226
Area of the cylinder = πr²h = 226
h = 5 feet and π = 3.14
3.14 5
r² = 226
r² = 226/15.70
r = 3.80
Therefore, the required radius of the cylinder that can be covered by the paint exists at 3.8 feet.
To learn more about cylinders refer to:
https://brainly.in/question/11560872
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