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nadezda [96]
3 years ago
8

Find the interquartile range using the following data 4 ,4 , 4 ,4 ,5, 6 ,7 , 7 ,7

Mathematics
1 answer:
katen-ka-za [31]3 years ago
7 0

Answer:

3

Step-by-step explanation:

Ascending order:

4 ,4 , 4 ,4 ,5, 6 ,7 , 7 ,7

9 data: split in

4 ,4 , 4 ,4   |   5   |   6 ,7 , 7 ,7

4 ,4   |   4 ,4   |   5   |   6 ,7   |   7 ,7

(7+7)/2-(4+4)/2

=7-4

=3

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\frac{d}{dx}(y^2x^3-15x^2=4) \\ \\&#10;\frac{d}{dx}(y^2x^3)-\frac{d}{dx}(15x^2)=\frac{d}{dx}(4) \\ \\&#10;(y^{2})'x^3+(x^3)'y^2-15(x^2)'=0 \\ \\ 2yy'x^3+3x^2y^2-30x=0 \\ \\&#10;y'=\frac{dy}{dx}=\frac{30x-3x^2y^2}{2x^3y}=\frac{x(30-3xy^2)}{2x^3y} \\ \\&#10;y'=\frac{30-3xy^2}{2x^2y}

Therefore the horizontal lines occurs when y'=0, then:

\frac{30-3xy^2}{2x^2y}=0 \\ \\ That \ is, \&#10;when: \\ \\ 30-3xy^2=0 \\ \\ \therefore xy^2=10 \rightarrow y^2=\frac{10}{x}

If we substitute this in the original equation we have:

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