4
algebra

Solve for xx: z=x−μσz = \frac{x - \mu}{\sigma}

A

x = z\sigma - \mu

B

x = (z + \mu) / \sigma

C

x = z\sigma + \mu

D

x = z / \sigma + \mu

Correct Answer: C

Choice Ahoice B is the correct answer.

  1. Start: z=x−μσz = \frac{x - \mu}{\sigma}
  2. Multiply by σ\sigma: zσ=x−μz\sigma = x - \mu
  3. Add μ\mu: x=zσ+μx = 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.

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Linear Functions Set 37