Starting with
[tex]z=\frac{2005-2005}{\frac{6.41}{\sqrt{30}}}[/tex]
Notice that
[tex]\sqrt{30}=5.48[/tex]
Therefore,
[tex]\Rightarrow z=\frac{2005-2005}{\frac{6.41}{5.48}}[/tex]
The answer should be
[tex]\Rightarrow z=\frac{0}{\frac{6.41}{5.48}}=0[/tex]
However, the followed steps imply that
[tex]\begin{gathered} 2005-2005=\frac{2005}{2005} \\ \Rightarrow0=1!!!! \end{gathered}[/tex]
Furthermore,
[tex]\frac{\frac{2005}{2005}}{\frac{6.41}{5.48}}=\frac{1}{\frac{6.41}{5.48}}=\frac{5.48}{6.41}=0.854...[/tex]
Therefore, the calculations shown in the picture are wrong two times. It is not possible to reach a result of 1.17 given the first or second step.
The way to obtain 1.17 is
[tex]1.17=\frac{6.41}{5.48}=\frac{1}{\frac{5.48}{6.41}}=\frac{\frac{2005}{2005}}{\frac{5.48}{6.41}}[/tex]
