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denis23 [38]
3 years ago
7

#6 Find Value of X . Round answer to nearest tenth.

Mathematics
1 answer:
MaRussiya [10]3 years ago
6 0

This is a right triangle. We know that

                                                 \tan x = \frac{\text{opposite side}}{\text{adjacent side}}

Therefore,

                                              \tan x = \frac{18}{21} = \frac{6}{7} = 0.857

Now we have:

                                                 x=\tan^{-1}0.86

                                                       x=40.6

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AVprozaik [17]

Answer:

The 95% confidence interval of the proportion of Americans who believe in the conspiracy is  0.551<  p <  0.610

Step-by-step explanation:

From the question we are told that

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Generally the sample proportion is mathematically represented as

      \^ p =  \frac{614}{1057 }

=>   \^ p = 0.5809

From the question we are told the confidence level is  95% , hence the level of significance is    

      \alpha = (100 - 95 ) \%

=>   \alpha = 0.05

Generally from the normal distribution table the critical value  of  \frac{\alpha }{2} is  

   Z_{\frac{\alpha }{2} } =  1.96

Generally the margin of error is mathematically represented as  

     E =  Z_{\frac{\alpha }{2} } * \sqrt{\frac{\^ p (1- \^ p)}{n} }

=>   E = 1.96 * \sqrt{\frac{0.5809 (1- 0.5809)}{1057} }    

=>   E = 0.02975  

Generally 95% confidence interval is mathematically represented as  

      \^ p -E <  p <  \^ p +E

=>    0.5809 - 0.02975<  p <  0.5809 + 0.02975

=>    0.551<  p <  0.610

4 0
3 years ago
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12345 [234]

Answer:

V = 267.95

Step-by-step explanation:

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V = 4/3πr³

r = d/2

r = 4

Work:

V = 4/3πr³

V = 4/3(3.14)(4³)

V = 4/3(3.14)(64)

V = 267.95

3 0
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Step-by-step explanation:

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2 years ago
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3 years ago
Pick a product that might be packaged in the shape of a rectangular prism.
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Let us assume the following units of measure:
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Width = 5 inches
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3 0
4 years ago
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