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3 years ago

Diameter of 6x and height of 2x+5 what is the volume of the cylinder

Mathematics

2 answers:

ki77a [65]3 years ago

4 0

Answer:

(18x^3 + 45x^2)π unit^3.

Step-by-step explanation:

The radius of the base = 1/2 * 6x = 3x.

The volume = π r^2 h

= π * (3x)^2 * (2x + 5)

= 9x^2(2x + 5) π

= (18x^3 + 45x^2)π.

ikadub [295]3 years ago

3 0

Answer:

V = pi*x^2*(18x - 45)

Step-by-step explanation:

If the diameter is 6x and the height is 2x + 5, we know that the radius is 3x.

Plugging this info into the volume-of-a-cylinder formula V = pi*r^2*h, we get:

V = pi*(3x)^2*(2x - 5), or V = pi*(9x^2)(2x -5), or:

V = pi*(18x^3 - 45x^2), or V = pi*x^2*(18x - 45)

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There are 95 children at sports camp. 1/5 of children want to play basketball. How many children want to play basketball?

GalinKa [24]

95/5=19 so 19 children wanted to play basketball

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3 years ago

Manny and Evan were flying paper airplanes. Manny’s airplane flew 36.5 centimeters and Evan’s airplane flew 18 centimeters. How

professor190 [17]

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3 years ago

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In a random sample of 300 attendees of a minor league baseball game, 182 said that they bought food from the concession stand. C

horrorfan [7]

Answer:

90% confidence interval for the proportion of fans who bought food from the concession stand

(0.5603,0.6529)

Step-by-step explanation:

Step(i):-

Given sample size 'n' =300

Given data random sample of 300 attendees of a minor league baseball game, 182 said that they bought food from the concession stand.

Given sample proportion

$p^{-} = \frac{x}{n} = \frac{182}{300} =0.606$

level of significance = 90% or 0.10

Z₀.₁₀ = 1.645

90% confidence interval for the proportion is determined by

$(p^{-} - Z_{0.10}\sqrt{\frac{p(1-p)}{n} } , p^{-} +Z_{0.10}\sqrt{\frac{p(1-p)}{n} })$

$(0.6066 - 1.645\sqrt{\frac{0.6066(1-0.6066)}{300} } ,0.6066+1.645\sqrt{\frac{0.6066(1-0.6066)}{300} })$

(0.6066 - 0.0463 ,0.6066 + 0.0463)

(0.5603,0.6529)

final answer:-

90% confidence interval for the proportion of fans who bought food from the concession stand

(0.5603,0.6529)

5 0

3 years ago

F (x) = – 3x² + 3x + 7 Find f(8)

aliya0001 [1]

Answer:

-161

Step-by-step explanation:

$f(x)=-3x^2+3x+7\\f(8)=-3(8)^2+3(8)+7\\f(8)=-3(64)+24+7\\f(8)=-192+31\\=-161$

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3 years ago

Error analysis

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3 years ago

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