128.34 = 12817/50 :)
hope it helps
Answer:
B
Step-by-step explanation:
This is how I am confirming the answer:
14/125 = 0.112
125(0.112) = 14
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:
![F = 91\times0.67 + 91\times0.33 = 91](https://tex.z-dn.net/?f=F%20%3D%2091%5Ctimes0.67%20%2B%2091%5Ctimes0.33%20%3D%2091)
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:
![F = 83\times0.4 + 60\times0.3 + 52\times0.3 = 66.8](https://tex.z-dn.net/?f=F%20%3D%2083%5Ctimes0.4%20%2B%2060%5Ctimes0.3%20%2B%2052%5Ctimes0.3%20%3D%2066.8)
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:
![F_1 = 75\times0.25 + 80\times0.1 + 85\times0.4 + 62\times0.25 = 76.25](https://tex.z-dn.net/?f=F_1%20%3D%2075%5Ctimes0.25%20%2B%2080%5Ctimes0.1%20%2B%2085%5Ctimes0.4%20%2B%2062%5Ctimes0.25%20%3D%2076.25)
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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:
![F_2 = 75\times0.15 + 80\times0.1 + 85\times0.6 + 62\times0.15 = 79.55](https://tex.z-dn.net/?f=F_2%20%3D%2075%5Ctimes0.15%20%2B%2080%5Ctimes0.1%20%2B%2085%5Ctimes0.6%20%2B%2062%5Ctimes0.15%20%3D%2079.55)
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
![\frac{3}{3+10} = \frac{3}{13}](https://tex.z-dn.net/?f=%5Cfrac%7B3%7D%7B3%2B10%7D%20%3D%20%5Cfrac%7B3%7D%7B13%7D)
- Average of $51,834, with a weight of
![\frac{10}{13}](https://tex.z-dn.net/?f=%5Cfrac%7B10%7D%7B13%7D)
Thus:
![A = 36432\frac{3}{13} + 51834\frac{10}{13} = \frac{36432\times3 + 51834\times10}{13} = 48280](https://tex.z-dn.net/?f=A%20%3D%2036432%5Cfrac%7B3%7D%7B13%7D%20%2B%2051834%5Cfrac%7B10%7D%7B13%7D%20%3D%20%5Cfrac%7B36432%5Ctimes3%20%2B%2051834%5Ctimes10%7D%7B13%7D%20%3D%2048280)
On average, she sold $48,280 per day.
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Question 5:
- Average of $14.84, with a weight of
![\frac{6}{6+8} = \frac{6}{14} = \frac{3}{7}](https://tex.z-dn.net/?f=%5Cfrac%7B6%7D%7B6%2B8%7D%20%3D%20%5Cfrac%7B6%7D%7B14%7D%20%3D%20%5Cfrac%7B3%7D%7B7%7D)
- Average of $10.76, with a weight of
![\frac{4}{7}](https://tex.z-dn.net/?f=%5Cfrac%7B4%7D%7B7%7D)
Thus:
![A = 14.84\frac{3}{7} + 10.76\frac{4}{7} = \frac{14.84\times3 + 10.76\times4}{7} = 12.5](https://tex.z-dn.net/?f=A%20%3D%2014.84%5Cfrac%7B3%7D%7B7%7D%20%2B%2010.76%5Cfrac%7B4%7D%7B7%7D%20%3D%20%5Cfrac%7B14.84%5Ctimes3%20%2B%2010.76%5Ctimes4%7D%7B7%7D%20%3D%2012.5)
On average, she makes $12.5 per hour.
A similar problem is given at brainly.com/question/24398353
Answer:
n = 0.38 rotation per second
Step-by-step explanation:
The device rotates according to the mathematical equation :
...(1)
Where n is the rotational speed and is measured in rotations per second (s).
r is radius of the circulator and is measured in meters (m).
We need to find the rotational speed when radius is 1.7 m. Put r = 1.7 m in equation (1).
![n=\dfrac{(9.8)^{0.5}}{2\pi \times (1.7)^{0.5}}\\\\=0.38\ \text{rotations per second}](https://tex.z-dn.net/?f=n%3D%5Cdfrac%7B%289.8%29%5E%7B0.5%7D%7D%7B2%5Cpi%20%5Ctimes%20%281.7%29%5E%7B0.5%7D%7D%5C%5C%5C%5C%3D0.38%5C%20%5Ctext%7Brotations%20per%20second%7D)
Hence, the rotational speed is 0.38 rotation per second.
3.69/10 = .369 x 12 = 4.428, so around 4.43