Reina scored in the 80th percentile in the singing competition by outperforming 40 out of 50 contestants, indicating her performance was better than 80% of participants.
If Reina's score ranked higher than 40 out of 50 contestants, you can calculate her percentile by dividing the number of contestants she outperformed by the total number of contestants and then multiplying by 100.
![\[ \text{Percentile} = \left( \frac{\text{Number of contestants Reina outperformed}}{\text{Total number of contestants}} \right) * 100 \]](https://img.qammunity.org/2024/formulas/mathematics/high-school/dcquioo5hwm40622zhziga4uoo7vaws8wa.png)
In this case:
![\[ \text{Percentile} = \left( (40)/(50) \right) * 100 = 0.8 * 100 = 80\% \]](https://img.qammunity.org/2024/formulas/mathematics/high-school/nf2fy75xykpl67mq8r1o7ro2xfl5muwbw8.png)
Therefore, Reina scored in the 80th percentile.