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Vsevolod [243]
3 years ago
11

Draw a circle shade one sixth of it what percentage of the circle is shaded

Mathematics
1 answer:
White raven [17]3 years ago
6 0

Answer:

16.6%

Step-by-step explanation:


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Translation is shown.
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Which statement describes the function y=ax^n when a=1 and n is odd?
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B. The graph is symmetric about the origin

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Assume that the helium porosity (in percentage) of coal samples taken from any particular seam is normally distributed with true
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A) 4.85\pm0.29
B) 4.56\pm0.45

We first find the z-score associated with the level of confidence.  For 95% confidence:
Convert 95% to a decimal:  0.95
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Divide by 2 (this is the area in the tails):  0.05/2 = 0.025
Subtract from 1 (we don't want the tails, we want the area in the middle):  1-0.025 = 0.975

Using a z-table (http://www.z-table.com) we find the z-score for this is 1.96.  We now use the formula
\overline{x} \pm z*(\frac{\sigma}{\sqrt{n}})
=4.85\pm 1.96*(\frac{0.75}{\sqrt{25}})=4.85\pm0.294\approx 4.85\pm 0.29

For a 98% confidence level:
Convert 98% to a decimal:  0.98
Subtract from 1:  1 - 0.98 = 0.02
Divide by 2:  0.02/2 = 0.01
Subtract from 1:  1 - 0.01 = 0.99

Using the z-table we see the closest number to this is for the z-score 2.33:
\overline{x} \pm z* (\frac{\sigma}{\sqrt{n}})
=4.56\pm 2.33*(\frac{0.75}{\sqrt{15}})=4.56\pm0.45
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