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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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5 0
2 years ago
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Which statement shows how the product of (x + 7)2 demonstrates the closure property of multiplication?
Illusion [34]

<h3>(x + 7)² = x² + 14x + 49</h3>

The true statement that show the closure property of multiplication :

<h3>a.  x² + 14x + 49 is a polynomial</h3>

\texttt{ }

<h3>Further explanation</h3>

<em>If equation ax³ + bx² + cx + d = 0 has roots x₁ , x₂ , and x₃ then</em>

x_1 + x_2 + x_3 = - \frac{b}{a}

x_1 x_2 + x_1 x_3 + x_2 x_3 = \frac{c}{a}

x_1 x_2 x_3 = - \frac{d}{a}

Let us now tackle the problem!

\texttt{ }

This problem is about Polynomial.

(x + 7)^2 = (x + 7)(x + 7)

(x + 7)^2 = x^2 + 7x + 7x + 7(7)

(x + 7)^2 = x^2 + 14x + 49

x^2 + 14x + 49 is a polynomial.

x + 7 is polynomial.

It demonstrates the closure property of multiplication.

\texttt{ }

<h3>Conclusion:</h3>

<em>The true statement that show how the product of (x + 7)² demonstrates the closure property of multiplication:</em>

<h3>a.  x² + 14x + 49 is a polynomial</h3>

\texttt{ }

<h3>Learn more</h3>
  • Solving Quadratic Equations by Factoring : brainly.com/question/12182022
  • Determine the Discriminant : brainly.com/question/4600943
  • Formula of Quadratic Equations : brainly.com/question/3776858

\texttt{ }

<h3>Answer details</h3>

Grade: High School

Subject: Mathematics

Chapter: Polynomial

\texttt{ }

Keywords: Quadratic , Equation , Discriminant , Real , Number

#LearnWithBrainly

7 0
3 years ago
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