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natita [175]
3 years ago
8

Please help with the 2 questions ive attached, i dont understand it at all

Mathematics
1 answer:
vesna_86 [32]3 years ago
3 0

Answer:

see explanation

Step-by-step explanation:

(a)

Consider the denominator

To obtain 5xy from x , multiply by 5y

Thus numerator is multiplied by 5y, that is

\frac{1}{x} = \frac{5y}{5xy}

(b)

Consider the numerator

To obtain 5ab² from ab, multiply by 5b

Thus denominator is multiplied by 5b, that is

\frac{ab}{2c} = \frac{5ab^2}{10bc}

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And the middle value is:

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The median is the value in the 6th position from the dataset ordered and we got:

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The third quartile can be calculated with this data:

135 140 140 143 144 150

And the middle value is:

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The five number summary for this case:

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120.0   130.0   135.0   135.6   141.5   150.0

The boxplot is on the figure attached

Step-by-step explanation:

We have the following data given:

130, 135, 140, 120, 130, 130, 144, 143, 140, 130, 150

If we sort the values on increasing order we got:

120 130 130 130 130 135 140 140 143 144 150

The minimum and maximum are:

Min =120, Max= 150

The first quartile can be calculated with this data:

130, 135, 140, 120, 130, 130

And the middle value is:

Q_1 = \frac{140+120}{2}=130

The median is the value in the 6th position from the dataset ordered and we got:

Median= 135

The third quartile can be calculated with this data:

135 140 140 143 144 150

And the middle value is:

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The five number summary for this case:

Min. 1st Qu.  Median    Mean 3rd Qu.    Max.  

120.0   130.0   135.0   135.6   141.5   150.0

The boxplot is on the figure attached

8 0
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