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gtnhenbr [62]
3 years ago
5

What is the measure of the central angle of a circle with radius 15ft that intercepts a 10ft arc

Mathematics
1 answer:
svetlana [45]3 years ago
5 0
Radius = 15 feet
circumference = 2 * PI * 15 = <span> <span> <span> 94.25 </span></span></span>feet
the length of the arc is 10 feet
So the angle would equal (10 / 94.25) * 360 = <span> <span> <span> 0.1061007958 </span> </span> </span> * 360 =
=  <span> <span> <span> 38.196</span></span></span> degrees



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Given the graph is a bell - shaped curve. So, we understand that this is a normal distribution and that the bell - shaped curve is a symmetric curve.

Please refer the figure for a better understanding.

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d. We have to know that 5 % of the values lie on the thirst standard Deviation of the mean.

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Since, we are asked to find scores below 54. It should be 2.5% of the values.

So, Scores below 54 = $ \frac{2.5}{100} \times 1200 $

= 2.5 X 12 = 30.

That is, 30 students have scored below 54.

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