Answer
x = 21.164
Step-by-step explanation
Given the formula:
[tex]z=\frac{x-\mu}{\sigma}[/tex]
Substituting z = 2.12, μ = 11.2, and σ = 4.7, we get:
[tex]2.12=\frac{x-11.2}{4.7}[/tex]
Multiplying by 4.7 at both sides of the equation:
[tex]\begin{gathered} 2.12\cdot4.7=\frac{x-11.2}{4.7}\cdot4.7 \\ 9.964=x-11.2 \end{gathered}[/tex]
Adding 11.2 at both sides of the equation:
[tex]\begin{gathered} 9.964+11.2=x-11.2+11.2 \\ 21.164=x \end{gathered}[/tex]
