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The distribution of durations for which apartments remain empty after the resident moves out for one property management company over the past 10 years was approximately normal with mean μ =85 days and standard deviation σ =29days. The property management company tags the files of the apartments that were empty for the shortest 5% of durations to have priority cleaning the next time their residents move out. What is the maximum duration for which an apartment remained empty for the company to tag its file?

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