The z score that corresponds to a right tail area of 0.45 is given by
[tex]P(z\ \textgreater \ x)=0.45 \\ \\ 1-P(z\ \textless \ x)=0.45 \\ \\ P(z\ \textless \ x)=1-0.45=0.55 \\ \\ P(z\ \textless \ x)=P(z\ \textless \ 0.126) \\ \\ x=0.126[/tex]
Therefore, the approximate z-score that corresponds to a right tail area of 0.45 is 0.126