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victus00 [196]
3 years ago
7

The volume of a cylinder with height and radius can be found using the formula

Mathematics
1 answer:
Illusion [34]3 years ago
7 0

Answer:

7 feet

Step-by-step explanation:

Volume of a cyclinder = πr^2h

Volume of a cyclinder = 1952

π = 3.14

r = ?

h = 2r

Volume of a cyclinder = πr^2h

1952 = 3.14 * r^2 * 2r

1952 = 3.14 * 2r^3

1952 = 6.28r^3

Divide both sides by 6.28

r^3 = 1952 / 6.28

= 310.83

r^3 = 310.83

Find the cube root of both sides

r = 6.77 feet

Approximately 7 feet

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A bottling company uses a filling machine to fill plastic bottles with cola. The bottles are supposed to contain 300 milliliters
PilotLPTM [1.2K]

Answer:

e. 0.0072

Step-by-step explanation:

We are given that a bottling company uses a filling machine to fill plastic bottles with cola. And the contents vary according to a Normal distribution with Mean, μ = 298 ml and Standard deviation, σ = 3 ml .

 Let    Z = \frac{Xbar - \mu}{\frac{\sigma}{\sqrt{n} } } ~ N(0,1)  where, Xbar = mean contents of six randomly

                                                                     selected bottles

                                                          n = sample size i.e. 6    

So, Probability that the mean contents of six randomly selected bottles is less than 295 ml is given by, P(Xbar < 295)

 P(Xbar < 295) = P( \frac{Xbar - \mu}{\frac{\sigma}{\sqrt{n} } } < \frac{295 - 298}{\frac{3}{\sqrt{6} } } ) = P(Z < -2.45) = P(Z > 2.45)

Now, using z% score table we find that P(Z > 2.45) = 0.00715 ≈ 0.0072 .

Therefore, option e is correct .

7 0
3 years ago
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mafiozo [28]

Answer:

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Step-by-step explanation:

7 0
2 years ago
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Harold wrote this equation to model the level of water in a pool over time. The variable x represents time in hours. f(x) = 3,50
lina2011 [118]

Answer:

The water level is falling.

The initial level of water in the pool was 3,500 units

The water was 2,600 units high after 4 hours.

Step-by-step explanation:

The given function that models the water level is

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The function represents a straight line that has slope m=-225

Since the slope is negative, it means the water level is falling.

The initial level of water in the pool can found when we put x=0 into the function.

f(0)=3,500-225(0)


f(0)=3,500, hence the initial level is 3,500.


To determine the level of water in the pool after 14 hours, we put x=14 into the equation to get;

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f(14)=3,500-3150


f(14)=350


To determine the water level after 4 hours we put x=4

f(4)=3,500-225(4)

f(4)=3,500-900

f(14)=2,600


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The distance between the 2 points is approximately 8.25
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