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2 years ago

Lauren purchases 12 gallons of gasoline for $31.56. What is the cost of one gallon of gasoline?

Mathematics

2 answers:

FrozenT [24]2 years ago

6 0

You can calculate this by dividing: $31.56/12= $2.63

SpyIntel [72]2 years ago

4 0

You can divide 31.56 by 12 to get the answer which would be 2.63 dollars per gallon

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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:

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

(0.3583 , 0.4579)

Step-by-step explanation:

Explanation:-

Given sample size 'n' = 517

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

'x' =211

The sample proportion

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

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

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

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

(0.4081-0.0498 , 0.4081 +0.0498)

(0.3583 , 0.4579)

Conclusion:-

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

(0.3583 , 0.4579)

7 0

3 years ago

Hey!

noname [10]

Answer:

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Volume is the sum of volumes:

V = Vcon + Vcyl = 1/3πr²h₁ + πr²h₂
V = 1/3π*9²*12 + π*9²*120 = 31554.2 cm³

Surface area of cone:

A = A=πr(r+√(h₁²+r²)) = π*9(9 + √(9²+12²)) = 678.6 cm²

Surface area of cylinder minus bases:

A = 2πrh₂ = 2π*9*120 = 6785.8 cm²

Total surface area:

678.6 + 6785.8 = 7464.4 cm²

-------------------------------------------------

B. Cube+ pyramid

Volume:

V = a³ + (1/3)a²h = a³ + (1/3)a²√(l²-(a/2)²)
V = 8³ + (1/3)8²√(10²-4²) = 707.5 cm³

Surface area of pyramid:

A = a² + 2al = 8² + 2*8*10 = 224 cm²

Surface area of cube minus bases:

A = 4a² = 4(8²) = 256 cm²

Total surface area:

A = 224 + 256 = 480 cm²

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2 years ago