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gayaneshka [121]
3 years ago
9

The number of sides of two regular polygons are as 5:4 and the difference between their angles is 9°. Find the number of sides o

f the polygons,
Mathematics
1 answer:
const2013 [10]3 years ago
7 0

Answer:

8 and 10.

Step-by-step explanation:

I am assuming the difference of 9° is between their interior angles.

The formula for the interior angle of a regular polygon is 180° - 360°/n, where n is the number of sides.

As the number of sides increase, the interior angle increases.

Therefore 180° - 360°/(5x) = 180° - 360°/(4x) + 9°.

180° - 360°/(5x) = 180° - 360°/(4x) + 9°

360°/(4x) = 360°/(5x) + 9°

90°/x = 72°/x + 9x°/x

=> 90° = 72° + 9x°

9x° = 18°

x = 2.

Hence the number of sides of the regular polygons are 8 and 10.

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Answer:

z=\frac{0.843-0.653}{\sqrt{0.748(1-0.748)(\frac{1}{300}+\frac{1}{300})}}=5.358    

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Step-by-step explanation:

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X_{1}=253 represent the number with no defects in sample 1

X_{2}=196 represent the number with no defects in sample 1

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n_{2}=300 sample 2

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z would represent the statistic (variable of interest)  

p_v represent the value for the test (variable of interest)  

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Replacing in formula (1) the values obtained we got this:  

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Comparing the p value with the significance level given \alpha=0.05 we see that p_v so we can conclude that we have enough evidence to reject the null hypothesis, and we can say that we have singificantly differences between the two proportions.  

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