What is the depth of the soup ( the area shaded) 20cm is the diameter?

What Is The Depth Of The Soup ( The Area Shaded) 20cm Is The Diameter?

Answers

Answer 1

Answer:

8 cm

Step-by-step explanation:

Given that , the diameter of the semicircle is 20 cm . And the angle made by the level of liquid and the diameter is 37°. For diagram kindly refer to attachment .Let the depth of the liquid be represented by h . Now from the figure , ( attached ) :-

⇒ cos 37° = AB / AC

⇒ cos 37° = AB / 20 cm

⇒ 4/5 = AB / 20 cm .

⇒ AB = 4/5 * 20 cm .

AB = 16 cm .

Now , again AOB is s semicircle and AB is diameter , And the radius will be half of diameter .Hence here h = r = 16cm/2 = 8 cm .

Hence the depth of the soup is 8 cm .
What Is The Depth Of The Soup ( The Area Shaded) 20cm Is The Diameter?

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In a certain state, a survey of 600 workers showed that 35% belonged to a union. Find the 95% confidence interval of true proportion of workers who belong to a union.

Answers

Answer:

The 95% confidence interval of true proportion of workers who belong to a union.

(0.29657 , 0.40343)

Step-by-step explanation:

Explanation:-

Given sample size 'n' = 600

Given sample proportion  p = 35% or 0.35

The 95% confidence interval of true proportion of workers who belong to a union.

[tex](p^{-} -Z_{0.05} \sqrt{\frac{pq}{n} } , p^{-} + Z_{0.05} \sqrt{\frac{pq}{n} } )[/tex]

[tex](0.35 -1.96\sqrt{\frac{0.35 X0.65}{600} } , 0.35 + 1.96\sqrt{\frac{0.35 X 0.65}{600} } )[/tex]

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Final answer:-

The 95% confidence interval of true proportion of workers who belong to a union.

(0.29657 , 0.40343)

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Step-by-step explanation:

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Step-by-step explanation:

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Answer:

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Step-by-step explanation:

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Step-by-step explanation:

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