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enyata [817]
4 years ago
5

Item 19 A cylindrical container of four rubber balls has a height of 20 centimeters and a diameter of 5 centimeters. Each ball i

n the container has a radius of 2.5 centimeters. Find the amount of space in the container that is not occupied by rubber balls. Round your answer to the nearest whole number.
Mathematics
1 answer:
Lady_Fox [76]4 years ago
7 0
First you need to find the volume of the cylinder. Then find the volume of all 4 rubber balls (spheres). Subtract the cylinder's volume by the spheres' volumes.

Volume of cylinder: πr²h
                                   π2.5²(20) = 392.7 cm³

Volume of sphere: 4/3πr³
                                 4/3π2.5³ = 65.45 cm³

392.7 - 65.45 = 327.25

The amount of space in the container unoccupied by the rubber balls is 327 cm³.
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Firlakuza [10]

Answer:

Step-by-step explanation:

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The correct option is D

2) if 70% of all internet users experience e-mail fraud. It means that probability of success, p

p = 70/100 = 0.7

q = 1 - p = 1 - 0.7 = 0.3

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Mean, u = np = 50×0.7 = 35

Standard deviation, u = √npq = √50×0.7×0.3 = 3.24

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The formula for normal distribution is expressed as

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We want to determine the probability that no more than 25 were victims of e-mail fraud. It is expressed as

P(x lesser than or equal to 25)

The z value will be

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Looking at the normal distribution table, the corresponding z score is 0.001

P(x lesser than or equal to 25) = 0.001

7 0
4 years ago
Solve the equation by taking square roots. Problem: 8b^2-7=-76
yulyashka [42]

Answer:

b = +5

Step-by-step explanation:

8b^2=193+7

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Assume that y varies inversely with x. if y=7 when x=-2, find y when x=7
melisa1 [442]

Answer:

y=-2

Step-by-step explanation:

The formula for inverse variation is

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if y=7 when x=-2, we can substitute these numbers in to find k

(-2)(7) =k

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The equation becomes

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8 0
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Answer:

Step-by-step explanation:

(x-1)(x+2)/x^2(x-1)+2(x-1)

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(x+2)/(x^2+2)

6 0
3 years ago
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Answer:

The answer is 5.98

Step-by-step explanation:

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