Using the Empirical Rule and the Central Limit Theorem, we have that:
- About 68% of the sample mean fall with in the intervals $1.64 and $1.82.
- About 99.7% of the sample mean fall with in the intervals $1.46 and $2.
<h3>What does the Empirical Rule state?</h3>
It states that, for a normally distributed random variable:
- Approximately 68% of the measures are within 1 standard deviation of the mean.
- Approximately 95% of the measures are within 2 standard deviations of the mean.
- Approximately 99.7% of the measures are within 3 standard deviations of the mean.
<h3>What does the Central Limit Theorem state?</h3>
By the Central Limit Theorem, the sampling distribution of sample means of size n has standard deviation .
In this problem, the standard deviation of the distribution of sample means is:
68% of the means are within 1 standard deviation of the mean, hence the bounds are:
99.7% of the means are within 3 standard deviations of the mean, hence the bounds are:
More can be learned about the Empirical Rule at brainly.com/question/24537145
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ANSWER
EXPLANATION
The given expression is
We can see that (x+2) is the greatest common factor.
We factor to obtain;
The correct choice is C.
Answer:
Step-by-step explanation:
hypotenuse
8.40$ divided by 5 = 1.68$ each pound which makes 1.68$ the unit price per pound.
Now to check the answer 1.68$ times 5 gives us a total of 8.40$
Volume =
1 πr2h
3
=
1 ×π×42×7
3
= 117.28612573402 centimeters^3