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Kamila [148]
3 years ago
12

Need help with khan geometry no link pls just answer

Mathematics
1 answer:
SpyIntel [72]3 years ago
7 0

Angles ABC and CBD are complementary - they add up to 90°. This means

(4x + 52°) + (8x - 10°) = 90°

Solve for x :

12x + 42° = 90°

12x = 48°

x = 4°

It follows that angle CBD has measure

4 • 4° + 52° = 16° + 52° = 68°

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<u><em>Step(i)</em></u> :-

Noise levels at 3 airports were measured in decibels yielding the following data

108   146   160

Mean of given data

         x^{-} = \frac{108+146+160}{3} = 138

x          :     108   146   160

x-x⁻      :      -30   8       22

(x-x⁻ )² :     900   64     484

Variance  σ ² = ∑(x-x⁻ )²/ n-1

                                        = \frac{900+64+484}{3-1}= 724

Standard deviation  

                σ = √724 = 26.90

<u><em>Step(ii):</em></u>-

The 90% confidence interval for the mean noise level at such locations                        

       (x^{-} - Z_{0.90} \frac{S.D}{\sqrt{n} } , (x^{-} + Z_{0.90} \frac{S.D}{\sqrt{n} } )

The critical value that should be used in constructing the confidence interval

Z₀.₁₀ = 1.645

         (138 - 1.645 \frac{26.90}{\sqrt{3} } , (138 + 1.645 \frac{26.90}{\sqrt{3} } )

        ( 138 - 25.54 , 138 + 25.54 )

        (112.46 , 163.54)

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