MTH100 Quiz 2 Solved Spring 2023 by Muhammad Zaman
- Type
- Quiz
- Course
- MTH100 General Mathematics
- Size
- PDF 2.9 MB
- Updated
- 23 Oct 2026
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The correct option for the given MCQ question is 1140. Explanation: The number of ways to choose 3 students out of 20 is given by the combination formula: nCr = n! / (r! * (n-r)!), where n is the total number of students and r is the number of students to be chosen. In this case, n = 20 and r = 3. Substituting these values into the formula, we get:nCr = 20! / (3! * (20-3)!) = 20! / (3! * 17!) = (20 * 19 * 18) / (3 * 2 * 1) = 1140 Explanation: To find the midpoint of a line segment with endpoints (x1, y1) and (x2, y2), we can use the midpoint formula:Midpoint = ((x1 + x2)/2, (y1 + y2)/2)In this case, the endpoints are (-4, 4) and (-2, 2), so we can substitute these values into the formula:
Midpoint = ((-4 + (-2))/2, (4 + 2)/2) = (-3, 3)
Therefore, the midpoint of the line segment with the endpoints (-4, 4), (-2, 2) is (-3, 3).
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