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Brrunno [24]
3 years ago
6

The gas tank on the back of a tanker truck can be equated to a cylinder with a diameter of 8 feet and a length of 19 feet. A gal

lon of gas is approximately 231 cubic inches. The density of the gasoline is .0262 pounds per cubic inch. The driver has stopped at a local farm to fill a tank that has linear dimensions that are 2/3 the size of his tank. If the driver's tank was full and the farmer's tank was empty, what is the mass of the gasoline in each of the tanks after the smaller tank is full?
Mathematics
1 answer:
Leokris [45]3 years ago
6 0

9514 1404 393

Answer:

  • driver's tank: 30,427 lb
  • farmer's tank: 12,811 lb

Step-by-step explanation:

The formula for the volume of a cylinder is ...

  V = πr^2·h . . . radius r, height h

The radius of the driver's tank is half its diameter, so is (8 ft)/2 = 4 ft. Then the volume of that tank is ...

  V = π(4 ft)^2·(19 ft) = 304π ft^3

Each cubic foot of gasoline has a mass of ...

  (1728 in^3/ft^3)(0.0262 lb/in^3) = 45.2736 lb/ft^3

Then the total mass in the driver's full tank is ...

  (304π ft^3)(45.2736 lb/ft^3) ≈ 43,238.3 lb

__

The farmer's tank is a scaled-down version of the driver's tank. It's volume will be scaled by the cube of the linear scale factor, so will be (2/3)^3 = 8/27 of the volume of the driver's tank.

The farmer's tank will hold a mass of (43,238.3 lb)(8/27) ≈ 12,811 lb.

The amount remaining in the driver's tank is 43,238 -12,811 = 30,427 lb.

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Answer:

They are skew lines.

Step-by-step explanation:

Which statement is true about lines a and b?

They are parallel lines.

They are perpendicular lines.

They are skew lines.

They will intersect.

As they both are in different directions they are skew lines .

Skew lines are not parallel neither they .They are also not co planar i.e they lie in different planes.

We have two plane Q and R . We have two line a and b on the different planes Q and R. Both planes are parallel but the lines a and b are in different directions. Therefore they are skew lines . They do not intersect and are also not parallel neither co planar.

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3 years ago
What’s (3x86)+(9538+629)
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Lydia ran 10 miles in 120 minutes. How many minutes did she run per mile?
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It took Lydia 12 minutes to run each mile

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120/10

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The FBI wants to determine the effectiveness of their 10 Most Wanted list. To do so, they need to find out the fraction of peopl
koban [17]

Answer:

<em>98% of confidence intervals for the Population proportion of people who captured after appearing on the 10 most wanted list</em>

(0.3583 , 0.4579)

Step-by-step explanation:

<u>Explanation</u>:-

<em>Given sample size 'n' = 517</em>

Given data Suppose a sample of 517 suspected criminals is drawn. Of these people, 211 were captured.

'x' =211

<em>The sample proportion</em>

                                   p^{-}  = \frac{x}{n} = \frac{211}{517} =0.4081

                                  q^{-} = 1-p^{-} = 1- 0.4081 = 0.5919

<em>98% of confidence intervals for the Population proportion of people who captured after appearing on the 10 most wanted list</em>

(p^{-}  - Z_{\frac{\alpha }{2}  } \sqrt{\frac{p^{-} (1-p^{-} )}{n} } , p^{-} + Z_{\frac{\alpha }{2} } \sqrt{\frac{p^{-} (1-p^{-} }{n} } )

(0.4081  - 2.326   \sqrt{\frac{0.4081 (0.5919 )}{517} } , 0.4081+ 2.326\sqrt{\frac{0.4081(0.5919 }{517} } )

(0.4081-0.0498 , 0.4081 +0.0498)

(0.3583 , 0.4579)

<u><em>Conclusion</em></u>:-

<em>98% of confidence intervals for the Population proportion of people who captured after appearing on the 10 most wanted list</em>

(0.3583 , 0.4579)

7 0
3 years ago
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