For a population with = 100 and = 20, what is the x value corresponding to z = 1.50?
1 answer:
For a population with mean (μ) = 100 and standard deviation (σ) = 20, the X value corresponding to z = 1.50 is 130.
<h3>What is a z-score?</h3>A z-score is also referred to 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.
<h3>How to determine the value of x?</h3>In Statistics, the standardized z-score is giving by this formula:
Making x the subject of formula, we have:
x = Zσ + μ
Substituting the given parameters into the formula, we have;
x = 1.50(20) + 100
x = 30 + 100
x = 130.
Read more on z-scores here: brainly.com/question/4302527
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Complete Question:
For a population with μ= 100 and σ = 20, what is the X value corresponding to z = 1.50?
30
101.5
115
130
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<u>Volume of the hemisphere:</u>
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By applying the concept of the inverse of a function and <em>algebraic</em> handling, we conclude that the inverse of f(x) = (- 2 · x + 2)/(x + 7) is g(x) = (- 7 · x + 2)/(x + 2).
<h3>How to find the inverse of a function</h3>
In this question we have a <em>rational</em> function f(x) and finding its inverse consists in clearing x in terms of f(x). Prior any algebraic handling, we need to apply the following substitutions:
x · (y + 7) = - 2 · y + 2
x · y + 7 · x = - 2 · y + 2
2 · y + x · y = - 7 · x + 2
y · (2 + x) = - 7 · x + 2
By applying the concept of the inverse of a function and <em>algebraic</em> handling, we conclude that the inverse of f(x) = (- 2 · x + 2)/(x + 7) is g(x) = (- 7 · x + 2)/(x + 2).
To learn more on inverses: brainly.com/question/7181576
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