Question

solve for x when ( z = \frac { x - mu } { sigma } ) and ( z = - 0.06 ), ( mu = 10.6 ), and ( sigma = 0.3 ).
( x = square ) (type an integer or decimal. do not round.)

Explanation:

Step1: Substitute the given values into the formula

Given \( z=\frac{x - \mu}{\sigma}\), substitute \(z=- 0.06\), \(\mu = 10.6\), and \(\sigma=0.3\) into the formula:
\(-0.06=\frac{x - 10.6}{0.3}\)

Step2: Solve for \(x\)

Multiply both sides of the equation by \(0.3\):
\(-0.06\times0.3=x - 10.6\)
\(-0.018=x - 10.6\)
Then add \(10.6\) to both sides:
\(x=10.6-0.018\)

Answer:

\(10.582\)