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Ugo [173]
3 years ago
6

A study involved measuring the average IQ of Americans. What does the Central Limit Theorem say about the study? As long as the

sample size n is large enough: The average IQ of Americans in the sample will be normally distributed. The IQ scores of Americans in the sample will be normally distributed. The IQ scores of all Americans will be normally distributed. The average IQ of all Americans will be normally distributed. The number of Americans in the study will be normally distributed.
Mathematics
1 answer:
Alexxx [7]3 years ago
5 0

Answer:

As long as the sample size n is large enough: The average IQ of Americans in the sample will be normally distributed.

Step-by-step explanation:

The Central Limit Theorem estabilishes that, for a random variable X, with mean \mu and standard deviation \sigma, the sample means with size n of at least 30 can be approximated to a normal distribution with mean \mu and standard deviation s = \frac{\sigma}{\sqrt{n}}

So the correct answer is:

As long as the sample size n is large enough: The average IQ of Americans in the sample will be normally distributed.

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Which one is bigger 30% or 4 /15<br>???
Nikolay [14]
I believe 30% is bigger than \frac{4}{15}.

To find the answer, you'd have to convert both the fraction and the percent into decimal form to see which one is truly bigger. Converting the percent is fairly easy. 30% would become 0.30 is decimal form. To find the fraction in decimal form, you'd have to divide the numerator by the denominator, which would be 4 ÷ 15, which makes : 2.6666666666666666666666667. 

Now you compare easily. Which one is bigger? 2.666666666666666666666667 or 0.30? 

0.30 is bigger. So 30% is bigger out of both of them.
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3 years ago
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Solve the equation -4 + 4a = 12 for a.
WARRIOR [948]

Hello there! The answer to your question is a = 4.

To solve for a in the equation -4 + 4a = 12 you want to isolate, or separate, a from all of the equation's other values.

Our first step is to add 4 to both sides so the 4 cancels out on the left side.

-4+4 + 4a = 12+4

4a = 16

Next, we divide both sides by 4 to finish isolating a.

4/4a = 16/4

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Want to verify that this is correct? Place the value we found for a (4) into the equation in place of a and if it comes out as a true statement, the answer is correct.

-4 + 4(4) = 12

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12 = 12

Since 12 is in fact equal to 12, i can guarantee you that i have provided you with the correct answer. I hope this helps & have a great rest of your day! :)

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Answer: 293

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Hope this helps!

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Answer:

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Step-by-step explanation:


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