STEP - BY - STEP EXPLANATION
What to find?
The value that gives a z- score of 1.80.
Given:
Mean(μ) = 56
Standard deviation (σ) = 6
x = ?
z = 1.80
Step 1
Recall the formula.
[tex]Z=\frac{x-\mu}{\sigma}[/tex]Step 2
Substitute the values into the formula.
[tex]1.80=\frac{x-56}{6}[/tex]Step 3
Cross - multiply.
[tex]10.8=x-56[/tex]Step 3
Add 56 to both-side of the equation.
[tex]x=10.8+56[/tex][tex]x=66.80[/tex]ANSWER
66.80
