What is the value this is -3 standard deviations from the mean?

Answer:
x = 44.9
Step-by-step explanation:
This equation shown falls in the formula for z score:
[tex]z=\frac{x-\mu}{\sigma}[/tex]
Where [tex]\mu[/tex] = 62
[tex]\sigma[/tex] = 5.7
ans z = -3
So, which value corresponds to a z-score of -3???
we cross multiply and do algebra to solve for x:
[tex]-3=\frac{x-62}{5.7}\\-3*5.7=x-62\\-17.1=x-62\\-17.1+62=x\\44.9=x[/tex]