Maths-
General
Easy
Question
The number of students absent in a class were recorded every day for 120 days and the information is given in the following frequency table Then the mean number of students absent per day is
![](https://mycourses.turito.com/pluginfile.php/1/question/questiontext/432086/1/913849/Picture14.png)
- 3.325
- 3.425
- 3.525
- 4.525
The correct answer is: 3.525
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body slids down the track from point 1 Which is 6 cm. Maximum value of R for the body to successfully complete the loop is
![](data:image/png;base64,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)
A frictionless track 12345 ends in a circular loop of radius R.
body slids down the track from point 1 Which is 6 cm. Maximum value of R for the body to successfully complete the loop is
![](data:image/png;base64,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)
physics-General
physics-
A body of mass 1.5 kg slide down a curved track which is quadrant of a circle of radias 0.75 meter. All the surfaces are frictionless. If the body starts from rest, its speed at the bottom of the track. is ..... ![open parentheses g equals 10 text end text m divided by s to the power of 2 end exponent close parentheses](data:image/png;base64,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)
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)
A body of mass 1.5 kg slide down a curved track which is quadrant of a circle of radias 0.75 meter. All the surfaces are frictionless. If the body starts from rest, its speed at the bottom of the track. is ..... ![open parentheses g equals 10 text end text m divided by s to the power of 2 end exponent close parentheses](data:image/png;base64,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)
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)
physics-General
physics-
The potential energy of a particle varies with distance
as shown in the graph. The force acting on the particle is zero at.
![](data:image/png;base64,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)
The potential energy of a particle varies with distance
as shown in the graph. The force acting on the particle is zero at.
![](data:image/png;base64,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)
physics-General