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Artemon [7]
3 years ago
8

30 POINTS

Mathematics
1 answer:
MaRussiya [10]3 years ago
8 0

Using the Central Limit Theorem, it is found that the correct option is:

  • B) The random sample of 15 meerkats should be close to 5.2 years-old.

The <em>Central Limit Theorem</em> states that taking a sample of size n for a population of mean \mu, the sample means are going to be close to \mu.

  • The larger the value of n, the closer the sample mean should be to \mu

In the context of this problem, the sample mean should be close to 5.2 years old, and the correct option is B.

For more on the Central Limit Theorem, you can check brainly.com/question/25581475

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icang [17]

Given: an n-gon

Prove: The sum of the measures of the interior angles is 180(n – 2)°.

Complete the missing parts of the paragraph proof.

We are given an n-gon, which has n sides and n vertices.

Answers:

1. If we choose one of the vertices, we can draw <u>n-3</u> diagonals.

2. These diagonals form <u>n-2</u> triangles.

3. The sum of the interior angle measures of a triangle is <u>180</u> degrees.

4. <u>n – 2</u> triangles would have an interior angle measure sum of <u>180</u> degrees.

5. Therefore, the sum of the measures of the interior angles of an n-gon is 180(n – 2)°.

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cricket20 [7]
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Using the common denominator fraction for 3, we subtract 4/3 from both sides
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The final answer is 8 4/5~
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