Question

I currently have a 95.52 % in my math class and my final exam is today.I took a practice final as reference and got a 70%.what percentage do I have to get on the final, to have a passing grade (passing grade is at least 70%, I currentlyhave 95.52%)

Answer 1

To maintain at least a 70% overall grade, you will need to score approximately 10.45% on your final exam assuming it counts for 30% of your total grade, given your current grade of 95.52%. This indicates that with any modest score on your final exam, you will pass the course.

Step-by-step explanation:

To determine what grade you need on your final exam to maintain a passing grade of at least 70%, we will work with the information provided and perform a weighted average calculation. Although you didn't specify how much the final exam contributes to the overall grade, this is a crucial piece of information. In many classes, the final exam is a significant portion of the final grade, often ranging from 20% to 50%. For our purposes, let's assume your final exam counts for 30% of your overall grade.

The formula to calculate your final grade when the final exam has a specific weight is:

Final Grade = (Current Grade × (1 - Final Exam Weight)) + (Final Exam Score × Final Exam Weight)

We can rearrange this formula to solve for the Final Exam Score:

Final Exam Score = (Desired Final Grade - (Current Grade × (1 - Final Exam Weight))) / Final Exam Weight

If your current grade is 95.52%, you want to keep at least a 70% overall, and the final accounts for 30% (0.30) of your grade, the calculation would be:

Final Exam Score = (70 - (95.52 × (1 - 0.30))) / 0.30

Final Exam Score = (70 - (95.52 × 0.70)) / 0.30

Final Exam Score = (70 - 66.864) / 0.30

Final Exam Score = 3.136 / 0.30

Final Exam Score = 10.4533...

So, you would need to score approximately 10.45% on the final exam to pass the class with a 70%, assuming the final is 30% of your overall grade. This is an impossibly low requirement, given your high current grade, suggesting that with any reasonable score on your final exam, you will pass the course.

Answer 2

The current score is given as 95.52%.

The passing grade is required to be a 70%.

This means the score on the final that is needed to achieve a 70% passing grade would be calculated as follows;

`\begin{gathered} (95.52+x)/(2)=70 \\ x=\text{the required score in the final exam} \\ \text{Cross multiply;} \\ 95.25+x=140 \\ x=140-95.52 \\ x=44.48 \end{gathered}`

The answer means that, on the final exam you must score at least (nothing less than) 44.48% in order to have a passing grade of 70%