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3 years ago

Based on the picture below: Solve for AB

Mathematics

1 answer:

Fiesta28 [93]3 years ago

3 0

Answer:

AB ≈ 35.93

Step-by-step explanation:

Using the cosine ratio in the right triangle

cos3.5° = $\frac{adjacent}{hypotenuse}$ = $\frac{AB}{AC}$ = $\frac{AB}{36}$

Multiply both sides by 36

36 × cos3.5° = AB, thus

AB ≈ 35.93 ( to 2 dec. places)

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Step-by-step explanation:

Explanation:-

Assuming that the population standard deviation for the number of energy drinks consumed each week is 1

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given sample size 'n' = 256

mean of the sample 'x⁻' = 4.7

confidence interval for the mean

The 80% confidence interval for the mean is determined by

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

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(4.7 - 0.0801 , 4.7 +0.0801)

(4.6199 , 4.7801)

Conclusion:-

The 80% confidence interval for the mean

(4.6199 , 4.7801)

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