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guajiro [1.7K]
3 years ago
6

One pump fills a tank in 20 hours and another in 15 hours. When a third pump is added the tank fills in 6 hours. Find out how lo

ng it takes the 3rd pump to fill the tank alone.
Mathematics
1 answer:
mrs_skeptik [129]3 years ago
4 0
Every hour, the first pump fills 1/20 of the tank, and the second fills 1/15 of the tank.  If, when combined with the third pump, all three pumps fill 1/6 of the tank in an hour, the third pump fills 1/6-1/15-1/20=\frac{1}{20} of the tank every hour, so it takes a total of 20 hours to fill the tank alone.
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Which one of the following does not represent a proportional relationship?
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Answer:

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Step-by-step explanation:

in this 2 table does not repeat a proportional relationship

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Suppose the apartment building has 100 apartments on each floor write the number of apartments in the building for each number o
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It would be 100 apartments on each floor level.
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10.) If a system of equations are dependent what is unique about the lines 2 point
MrRa [10]

Step-by-step explanation:

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Miss Lianto mowed 2/7 of her lawn. Her son mowed 1/4 of it. Who mowed most of the lawn? How much of the lawn still needs to be m
Nuetrik [128]

Answer: 2/7 = 8/28

1/4 = 7/28

Therefore Mr Pham mowed more.

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Step-by-step explanation:

3 0
3 years ago
Read 2 more answers
Consider a data set containing the following values: 70 65 71 78 89 68 50 75 The mean of the preceding values is 70.75. The devi
Leokris [45]

Answer:

If this is the sample data, the sample variance is 125.07 and the sample standard deviation is 11.18

If this is a population data, the population variance is 109.44 and the population standard deviation is 10.46

Step-by-step explanation:

We are given the following data-set:

70, 65, 71, 78, 89, 68, 50, 75

Deviations from the mean

–0.75, –5.75 , 0.25, 7.25, 18.25, –2.75, –20.75, 4.2

Sample size, n = 8

Sample:

\text{Standard Deviation} = \sqrt{\displaystyle\frac{\sum (x_i -\bar{x})^2}{n-1}}  

where x_i are data points, \bar{x} is the mean and n is the number of observations.

Sum of squares of differences =

0.5625 + 33.0625 + 0.0625 + 52.5625 + 333.0625 + 7.5625 + 430.5625 + 18.0625 = 875.5

s = \sqrt{\dfrac{875.5}{7}} = 11.18

\text{ Sample variance} = s^2 = 125.07

Population:

\text{Standard Deviation} = \sqrt{\displaystyle\frac{\sum (x_i -\bar{x})^2}{n}  

where x_i are data points, \bar{x} is the mean and n is the number of observations.

Sum of squares of differences =

0.5625 + 33.0625 + 0.0625 + 52.5625 + 333.0625 + 7.5625 + 430.5625 + 18.0625 = 875.5

\sigma = \sqrt{\dfrac{875.5}{8}} = 10.46

\text{ Population variance} = \sigma^2 = 109.44

7 0
3 years ago
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