WILL GIVE BRAINLIEST
2 answers:
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Answer:
Point E on the number line represents the approximate volume of a cylinder with a radius of 4 units and height of 4 units.
Step-by-step explanation:
It is given that the radius of the cylinder is 4 units and the height of the cylinder is 4 units.
The volume of the cylinder is
Where, r is radius and h is height of the cylinder.
Substitute r=4, h=4, π=3.14 in the above formula.
The volume of the cylinder is 200.96. Therefore, point E on the number line represents the approximate volume of a cylinder with a radius of 4 units and height of 4 units.
Answer:
(a) 0.40
(b) 0.049
(c)
(d) Explained below
Step-by-step explanation:
According to the Central limit theorem, if from an unknown population large samples of sizes n > 30, are selected and the sample proportion for each sample is computed then the sampling distribution of sample proportion follows a Normal distribution.
The mean of this sampling distribution of sample proportion is:
The standard deviation of this sampling distribution of sample proportion is:
Given:
n = 100
p = 0.40
As <em>n</em> = 100 > 30 the Central limit theorem is applicable.
(a)
Compute the expected value of as follows:
The expected value of is 0.40.
(b)
Compute the standard error of as follows:
The standard error of is 0.049.
(c)
The sampling distribution of is:
(d)
The sampling distribution of p show that as the sample size is increasing the distribution is approximated by the normal distribution.