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alexira [117]
3 years ago
5

Solve for x. Round your answer to two decimal places. Show your work for full credit.

Mathematics
1 answer:
omeli [17]3 years ago
5 0

Answer:

x ≈ 14.30

General Formulas and Concepts:

<u>Pre-Algebra</u>

  • Order of Operations: BPEMDAS
  • Equality Properties

<u>Trigonometry</u>

  • sin∅ = opposite over hypotenuse

Step-by-step explanation:

<u>Step 1: Define variables</u>

∅ = 39°

opposite leg = 9

hypotenuse = x

<u>Step 2: Solve for </u><em><u>x</u></em>

  1. Substitute:                              sin39° = 9/x
  2. Multiply <em>x</em> on both sides:       xsin39° = 9
  3. Isolate <em>x</em>:                                 x = 9/sin39°
  4. Evaluate:                                 x = 14.3011
  5. Round:                                    x ≈ 14.30
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Answer:

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We also know that we select a sample size of n =100 and on this case since the sample size is higher than 30 we can apply the central limit theorem and the distribution for the sample mean would be given by:

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And the standard deviation for the sampling distribution would be:

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Step-by-step explanation:

Let X the random variable of interest and we know that the true mean and deviation for this case are given by:

\mu = 114, \sigma = 40

We also know that we select a sample size of n =100 and on this case since the sample size is higher than 30 we can apply the central limit theorem and the distribution for the sample mean would be given by:

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