My friend has currently 62.4% and the final exam is worth 30%. She's wondering how much she should get on the exam to at least pass or boost it up. Please show the math :o
final mark= .3*FExam+.7*62.4
I am not certain what final mark she needs, but calculate FExam
Fexam=finalmark/.3- 145.6
well, you did not say what mark was pass so I will assume it is like 65
Say we have 100 exams in the year
we have taken 70 and the last one is really 30 together
.624 * 70 + x * 30 = .65 * 100
x = (65 -43.68)/30 = .71 or 71 %
It does not matter if we pick 100. the ratio between taken and remaining must just be 70/30 and the sum on the right
To find out how much your friend needs to score on the final exam, we can follow these steps:
Step 1: Calculate the weighted average of the current grade and the final exam.
To do this, multiply the current grade by its weight (1 - 0.3) and multiply the final exam grade by its weight (0.3). Then, add these two results together.
Weighted Average = (Current Grade * Current Weight) + (Final Exam Grade * Final Exam Weight)
Here, the current grade is 62.4%, and the final exam weight is 30%. So the formula becomes:
Weighted Average = (0.624 * 0.7) + (Final Exam Grade * 0.3)
Step 2: Set up the equation to find the minimum grade needed on the final exam to pass or boost the overall grade.
Since we want to find the minimum grade required on the final exam to "at least pass or boost" the overall grade, we can set up the equation as:
Weighted Average ≥ Passing Grade
In this case, we assume the passing grade is 60%.
(0.624 * 0.7) + (Final Exam Grade * 0.3) ≥ 0.6
Step 3: Solve the equation for the Final Exam Grade.
Rearrange the equation and solve for the Final Exam Grade:
Final Exam Grade * 0.3 ≥ 0.6 - (0.624 * 0.7)
Final Exam Grade * 0.3 ≥ 0.6 - 0.4368
Final Exam Grade * 0.3 ≥ 0.1632
Final Exam Grade ≥ 0.1632 / 0.3
Final Exam Grade ≥ 0.544
To at least pass or boost the overall grade, your friend should score a minimum of 54.4% on the final exam.