If Rachel is at 52% in her class and she gets 50% on her final exam (her final exam is worth 40% of her grade) then what is her final grade?
.6 (52%) + .4 (50%)
To calculate Rachel's final grade, you need to consider the weightage of her class performance and her final exam. In this case, Rachel's class performance is weighted at 60% (100% - 40%), and her final exam is weighted at 40%.
To calculate the overall grade, you need to find the weighted average of her class performance and her final exam score. Here's how you can do that:
1. Convert Rachel's class performance percentage into a decimal. Her class performance is 52%, so you divide it by 100: 52 ÷ 100 = 0.52.
2. Convert the final exam score percentage into a decimal. Rachel scored 50% on her final exam, so you divide it by 100: 50 ÷ 100 = 0.50.
3. Multiply Rachel's class performance decimal by the weightage: 0.52 × 0.60 = 0.312.
4. Multiply Rachel's final exam decimal by the weightage: 0.50 × 0.40 = 0.200.
5. Sum the results from steps 3 and 4: 0.312 + 0.200 = 0.512.
6. Convert the sum back into a percentage by multiplying it by 100: 0.512 × 100 = 51.2%.
Therefore, Rachel's final grade is 51.2%.