To calculate your final score in the class, we need to take into account both your previous score and your final exam score, with the weighting for each.
Your previous score counts for 80% of your grade (100% - 20% for the final), and your final exam counts for 20% of your grade.
To calculate your final grade, we can use the following formula:
Final grade = (Previous score x 0.8) + (Final exam score x 0.2)
Substituting in your values, we get:
Final grade = (77.59 x 0.8) + (77.33 x 0.2)
Final grade = 62.072 + 15.466
Final grade = 77.538
Therefore, your final grade in the class will be 77.538%, which is higher than the passing grade of 74.50%. Congratulations, you have passed the class!