Set 9: Linear Equations

Explanation

Answer: C

Solve for $x$ : $z = \frac{x - \mu}{\sigma}$

x = z\sigma - \mu

x = (z + \mu) / \sigma

x = z\sigma + \mu

✓ Correct

x = z / \sigma + \mu

Detailed Explanation

Choice C is correct. Choice Ahoice B is the correct answer. 1. Start: $z = \frac{x - \mu}{\sigma}$ 2. Multiply by $\sigma$ : $z\sigma = x - \mu$ 3. Add $\mu$ : $x = z\sigma + \mu$ Choice Ahoice C is incorrect because sign error. Choice Ahoice D is incorrect because division instead of multiplication. Choice Ahoice C is incorrect because algebra error.

Key Steps:

•

The correct answer is x = z\sigma + \mu

Why others are wrong:

A: Choice A is incorrect and may result from a calculation error.

B: Choice B is incorrect and may result from a calculation error.

D: Choice D is incorrect and may result from a calculation error.

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