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Marta_Voda [28]
3 years ago
10

Find the volume of a right circular cone that has a height of 17.5 m and a base with a

Mathematics
1 answer:
Aleks04 [339]3 years ago
5 0

Answer:

174.7 cubic meters

Step-by-step explanation:

Formula:

V = (1/3)* π * r^2 * h

V = (1/3) * π * r^2 * 17.5

From knowing the circumference: 2*(π)*r = 19.4

r = 19.4 / (2*π)

V = (1/3)* π *   (19.4 /(2π) )^2 * 17.5

V = (1/3) *  (19.4)^2 * (1  /  (4π)) * 17.5

V = (19.4^2 * 17.5  divided by  (12π)

V =  6,586.3 / (12π)

V = 6,586.3 / 37.699111842‬

V = 174.7070336193518  cubic meters

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Step-by-step explanation:

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3 years ago
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Bob Nale is the owner of Nale's Texaco GasTown. Bob would like to estimate the mean number of litres (L) of gasoline sold to his
Fudgin [204]

Answer:

a

  The point estimate of the population mean is  \= x  =  56

b

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c

  There is  80% confidence that the true population mean lies within the confidence interval.

Step-by-step explanation:

From the question we are told that

   The  sample size is  n =  18

   The  standard deviation is  \sigma  =  18 \ L

   The  sample mean is  \= x  =  56

Generally the point estimate of the population mean is equivalent to the sample mean whose value is  \= x  =  56

Given that the confidence interval is 80% then the level of significance is mathematically represented as

      \alpha  =  100 -  80

      \alpha =  20 \%

      \alpha = 0.20

Next we obtain the critical value of  \frac{\alpha }{2} from the normal distribution table

 The  value is   Z_{\frac{ \alpha }{2} } =  1.28

 Generally the margin of error is mathematically evaluated as

          E =  Z_{\frac{\alpha }{2} } * \frac{\sigma }{\sqrt{n} }

=>       E =  1.28 * \frac{18 }{\sqrt{18} }

=>       E =  5.43

     Generally the 80% confidence interval is mathematically represented as

    \= x  - E  <  \mu  < \= x  + E

=>    56  - 5.43  <  \mu  < 56  + 5.43

=>   50.57 <  \mu  < 61.43

The  interpretation is that there is  80% confidence that the true population mean lies within the limit

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Answer:

the answer is that a=2

Step-by-step explanation:

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