Maria wants to achieve an overall average of 85% in her university course. The final exam for the course is worth 40% of her overall grade, while her assignments (60% of her grade) have an average of 82%. What grade does Maria need on her final exam to reach her desired average?(A:1)

Question

BlackTom AI · Accepted Answer

We’re told Maria wants an overall average of 85% and the grading weights are: final exam = 40%, assignments = 60% with an average of 82%. 
First, compute the contribution from assignments: 0.60 * 82 = 49.2 points toward the overall grade. 
Next, let x be the final exam score (as a percentage). The final exam contributes 0.40 * x to the overall grade. The total must equal 85, so:
0.40 * x + 49.2 = 85.
Subtract 49.2 from both sides: 0.40 * x = 35.8.
Divide both sides by 0.40: x = 35.8 / 0.40 = 89.5.
Now, examine each option:
- Option a: 88% would give total = 0.40*88 + 49.2 = 35.2 + 49.2 = 84.4. This is below the target 85, so this option does not meet the goal and is incorrect.
- Option b: 35.7% is far too low for a final exam score in this context; its contribution would be 0.40*35.7 = 14.28, and total would be 14.28 + 49.2 = 63.48, which is far from 85. This is incorrect.
- Option c: 89.5% yields total = 0.40*89.5 + 49.2 = 35.8 + 49.2 = 85.0, exactly meeting the desired average. This aligns with the calculation and is the correct mathematical target.
- Option d: 80% gives 0.40*80 = 32, so total = 32 + 49.2 = 81.2, which is below 85, making this incorrect.

In summary, the required final exam grade to achieve an 85% overall is 89.5%. The option resembling this value (if present) would be the correct one, while the other choices fail to reach the target because they under- or mis-estimate the final exam’s impact on the overall average.

Maria wants to achieve an overall average of 85% in her university course. The final exam for the course is worth 40% of her overall grade, while her assignments (60% of her grade) have an average of 82%. What grade does Maria need on her final exam to reach her desired average?(A:1)

查看解析

登录即可查看完整答案

类似问题

If you received an "A" in a 5-hour class, a "B" in a 3-hour class, a "B+" in a 5-hour class, and a "C-" in a 3-hour class, what is your grade point hour ratio (GPA), assuming that these are the only classes you have taken?

Question textKayla recorded the grades she received on her four tests and the weighting assigned to each test. Determine her grade in the course so far, to 2 decimal places. [table] Grade | Weighting 85 | 10% 72 | 20% 65 | 20% 90 | 40% [/table] Final Grade = Answer 1 Question 25[input] % (I:2)

更多留学生实用工具

考试浏览器助手

风格化写作助手

论文查重助手

文献引用助手

课堂转译助手

课堂笔记助手

Quiz搜索助手

学校历年真题

智能刷题助手

智能匹配练习

希望你的学习变得更简单