By using the z-score formula, the value of x is equal to 91.1.
A z-score is also known as a standard score and it's a measure of the distance between a raw score and the mean, when standard deviation units are used.
In Statistics, the standardized z-score is giving by this formula:
[tex]Z=\frac{\bar{x}\;-\;\mu}{ \sigma }[/tex]
Making x the subject of formula, we have:
[tex]\bar{x} = Z\sigma + \mu[/tex]
Substituting the given parameters into the formula, we have;
x = 1.25(1.2) + 89.6
x = 1.5 + 89.6
x = 91.1.
Read more on z-scores here: https://brainly.com/question/4302527
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Complete Question:
Use the z-score formula and the information below to find the value of x. Round your answer to one decimal place, if necessary.
z = 1.25, μ = 89.6, and σ = 1.2.
