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SOVA2 [1]
3 years ago
14

Please FIND THE VALUE OF x.

Mathematics
1 answer:
hram777 [196]3 years ago
3 0

Answer:

x = 55 degree

Step-by-step explanation:

let the another angle be y

y+108=125 (sum of two interior opposite angle is equal to the exterioe angle formed)

y=125-108

y=17

y+x+108=180 degree (sum of interior angle of a triangle)

17 + x + 108 =180

x + 125 =180

x = 180-125

x=55

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Answer:

Confidence interval variance [21.297 ; 64.493]

Confidence interval standard deviation;

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Step-by-step explanation:

Given :

Variance, s² = 34.34

Standard deviation, s = 5.86

Sample size, n = 27

Degree of freedom, df = 27 - 1 = 26

Using the relation for the confidence interval :

[s²(n - 1) / X²α/2, n-1] ; [s²(n - 1) / X²1-α/2, n-1]

From the chi distribition table :

X²α/2, n-1 = 41.923 ; X²1-α/2, n-1 = 13.844

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The 95% confidence interval for the population variance is :

21.297 < σ² < 64.493

Standard deviation is the square root of variance, hence,

The 95% confidence interval for the population standard deviation is :

4.615 < σ < 8.031

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