Solution:
The formula for the z-score is given below as
[tex]\begin{gathered} z=\frac{x-\mu}{\sigma} \\ where, \\ \mu=51 \\ \sigma=3 \\ z=-2.44 \end{gathered}[/tex]By substituting the values, we will have
[tex]\begin{gathered} z=\frac{x-\mu}{\sigma} \\ -2.44=\frac{x-51}{3} \\ cross\text{ multiply, we will have} \\ x-51=3(-2.44) \\ x-51=-7.32 \\ collect\text{ similar terms, we will have} \\ x=-7.32+51 \\ x=43.68 \end{gathered}[/tex]Hence,
The final answer is
[tex]\Rightarrow43.68[/tex]