The complete formula for circumference is:
Since we know the circumference of the circle is 314 inches, we can then solve for d, the diameter:
Using 3.14 for pi, we get:
Then solve for d:
And now we know the diameter of the circle is 100 inches.
An Expression is shown below. - 5 12 + 7 34 What is the value of the Expression?
1 answer:
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Answer:
The mean of the sampling distribution of the sample proportions is 0.82 and the standard deviation is 0.0256.
Step-by-step explanation:
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 proportions, the mean is and the standard deviation is
In this problem, we have that:
.
So
The mean of the sampling distribution of the sample proportions is 0.82 and the standard deviation is 0.0256.