Final answer:
If a student fails their third attempt at a topic exam, they may need to retake the course or seek additional help. The final exam score for a student could be predicted from their third exam score, with higher third exam scores suggesting higher final exam scores.
Step-by-step explanation:
When we consider what happens if a student fails their third attempt at a topic exam in mathematics, the consequences can vary depending on the specific policies of the educational institution. However, generally speaking, if a student fails the third attempt, they may be required to retake the course or get additional tutoring before attempting the exam again. Moreover, the student's failure on the third attempt can have implications for their final grade and overall academic progress.
Regarding the prediction of a final exam score based on the third exam results, if a student scored a 90 on the third exam, the expected final exam score would likely be high as well, assuming a positive correlation between the two exams. For a student who scored a 66 on the third exam, the expected final exam score would likely be lower, but the exact score would depend on how the third exam correlates with the final exam. Educators often use a line of best fit or statistical analysis to make these predictions.