Question at position 4 The total grade in this course is calculated by75% lecture, 25% lab20% lecture, 80% lab70% lecture, 30% lab50% lecture, 50% labClear my selection

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Question at position 4 The total grade in this course is calculated by75% lecture, 25% lab20% lecture, 80% lab70% lecture, 30% lab50% lecture, 50% labClear my selection

BlackTom AI · Accepted Answer

Weighted average uses the relative weights of components to compute the overall course grade, so the lecture portion contributes 70% and the lab portion 30%.

1) Relevant knowledge points and concepts
- A final grade made from multiple components is computed as a weighted average: Final = (weight_lecture × lecture_score) + (weight_lab × lab_score).
- Percent weights must be converted to decimals (70% = 0.70, 30% = 0.30).
- The weights should sum to 100% (or 1.00 in decimal form).

2) Step-by-step reasoning process
- The correct weight pair given by the authoritative answer is 70% lecture and 30% lab, which satisfies the requirement that weights sum to 100% (70% + 30% = 100%).
- To demonstrate how these weights influence the final grade, apply the weighted-average formula.

3) Calculations with intermediate steps (example)
Assume a student has a lecture average of 85 and a lab average of 92.
- Convert percentages: lecture weight = 0.70, lab weight = 0.30.
- Multiply: 0.70 × 85 = 59.5 (lecture contribution).
- Multiply: 0.30 × 92 = 27.6 (lab contribution).
- Add contributions: 59.5 + 27.6 = 87.1 → final course grade = 87.1%.

4) Why the correct answer is correct
- The answer “70% lecture, 30% lab” is correct because it provides the specific weights used in the course’s weighted-average calculation and yields the final grade via the formula shown. The weights convert cleanly to decimals and sum to 1.00, enabling straightforward computation of the final percentage.

5) Why the other options are incorrect
- 75% lecture, 25% lab: produces a different final result (0.75×85 + 0.25×92 = 86.75 in the example) and does not match the course’s stated weights.
- 20% lecture, 80% lab: heavily favors lab and yields a substantially different final grade (90.6 in the example).
- 50% lecture, 50% lab: equal weighting yields yet another different final grade (88.5 in the example).
None of these match the authoritative course weighting.

6) Conclusion
The correct weighting is 70% lecture and 30% lab, which matches the provided answer.

Question at position 4 The total grade in this course is calculated by75% lecture, 25% lab20% lecture, 80% lab70% lecture, 30% lab50% lecture, 50% labClear my selection单项选择题

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