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3 years ago

83,78, 99,56, 48, 74, 68,55,85

Mathematics

2 answers:

____ [38]3 years ago

3 0

Answer:

48, 55, 56, 68, 74, 78, 83, 85, 99

Mean: 71.77777777777777777..........

Median: 74

Mode: mode is the number seen the most, but there is no repeating values

Range: 51

Step-by-step explanation:

Mean:

add all the values together, and divide by how many values you have, so 646/9= 71.777777777............

Median:

the number in the middle of the sequence

Range:

the difference between the largest and smallest numbers/values.

I hope this helps u pls give a brainliest and a thx ;)

Ronch [10]3 years ago

3 0

explanation:

48, 55, 56, 68, 74, 78, 83, 85, 99.

It's least to greatest start at 48.

Hope this helps!! please give me brainlyest!?

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The equation giving a family of ellipsoids is u = (x^2)/(a^2) + (y^2)/(b^2) + (z^2)/(c^2) . Find the unit vector normal to each

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$\hat{n}\ =\ \ \dfrac{\dfrac{x}{a^2}\hat{i}+\ \dfrac{y}{b^2}\hat{j}+\ \dfrac{z}{c^2}\hat{k}}{\sqrt{(\dfrac{x}{a^2})^2+(\dfrac{y}{b^2})^2+(\dfrac{z}{c^2})^2}}$

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$u\ =\ \dfrac{x^2}{a^2}+\dfrac{y^2}{b^2}+\dfrac{z^2}{c^2}$

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$\vec{n}\ =\textrm{gradient of u}$

$=\bigtriangledown u$

$=\ (\dfrac{\partial{}}{\partial{x}}\hat{i}+ \dfrac{\partial{}}{\partial{y}}\hat{j}+ \dfrac{\partial{}}{\partial{z}}\hat{k})(\dfrac{x^2}{a^2}+\dfrac{y^2}{b^2}+\dfrac{z^2}{c^2})$

$=\ \dfrac{\partial{(\dfrac{x^2}{a^2})}}{\partial{x}}\hat{i}+\dfrac{\partial{(\dfrac{y^2}{b^2})}}{\partial{y}}\hat{j}+\dfrac{\partial{(\dfrac{z^2}{c^2})}}{\partial{z}}\hat{k}$

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Hence, the unit normal vector can be given by,

$\hat{n}\ =\ \dfrac{\vec{n}}{\left|\vec{n}\right|}$

$=\ \dfrac{\dfrac{2x}{a^2}\hat{i}+\ \dfrac{2y}{b^2}\hat{j}+\ \dfrac{2z}{c^2}\hat{k}}{\sqrt{(\dfrac{2x}{a^2})^2+(\dfrac{2y}{b^2})^2+(\dfrac{2z}{c^2})^2}}$

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$\hat{n}\ =\ \ \dfrac{\dfrac{x}{a^2}\hat{i}+\ \dfrac{y}{b^2}\hat{j}+\ \dfrac{z}{c^2}\hat{k}}{\sqrt{(\dfrac{x}{a^2})^2+(\dfrac{y}{b^2})^2+(\dfrac{z}{c^2})^2}}$

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<h3>Answers: 100 girls and 25 boys</h3>

============================================================

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For now, x is some unknown positive whole number. But we can say that 4x represents the number of girls, as we multiply by 4.

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