Eureka math lesson 5 5.3
2 answers:
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Answer:
(x -6)^2 +(y -3)^2 = 2
Step-by-step explanation:
The midpoint (C) is the center of the circle:
C = ((5, 4) +(7, 2))/2 = ((5+7)/2, (4+2)/2) = (6, 3)
A circle with center (h, k) that goes through point (a, b) can be written as ...
(x -h)^2 +(y -k) ^2 = (a -h)^2 +(b -k)^2
Using the values for this problem, we get ...
(x -6)^2 +(y -3)^2 = (5 -6)^2 +(4 -3)^2
(x -6)^2 +(y -3)^2 = 2
Using weighed averages, it is found that:
- The final grade is 91.
- The final grade is 66.8.
- The higher grade would be 79.55, with the second grading scheme.
- On average, she sold $48,280 per day.
- On average, she makes $12.5 per hour.
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To find the weighed average, we multiply each value by it's weight.
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Question 1:
- Grade of 91, with a weight of 67%.
- Grade of 91, with a weight of 33%.
Thus:
The final grade is 91.
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Question 2:
- Grade of 83, with a weight of 40%(highest grade).
- Grade of 60, with a weight of 30%.
- Grade of 52, with a weight of 30%.
Thus:
The final grade is 66.8.
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Question 3:
With teacher 1:
- 75 with a weight of 25%.
- 80 with a weight of 10%.
- 85 with a weight of 40%.
- 62 with a grade of 25%.
Thus:
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With teacher 2:
- 75 with a weight of 15%.
- 80 with a weight of 10%.
- 85 with a weight of 60%.
- 62 with a weight of 15%.
Thus:
The higher grade would be 79.55, with the second grading scheme.
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Question 4:
- Average of $36,432, with a weight of
- Average of $51,834, with a weight of
Thus:
On average, she sold $48,280 per day.
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Question 5:
- Average of $14.84, with a weight of
- Average of $10.76, with a weight of
Thus:
On average, she makes $12.5 per hour.
A similar problem is given at brainly.com/question/24398353