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Given the z-score formula,
[tex]\begin{gathered} z=\frac{x-\mu}{\sigma} \\ \text{Where x =7} \\ \mu=6.4\text{ and} \\ \sigma=1.5 \\ z=\frac{7-6.4}{1.5}=\frac{0.6}{1.5}=0.4 \end{gathered}[/tex]Given the z-score of 0.4