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2 years ago

In your own words, what is a interquartile range? REWARDING BRAINLY

Mathematics

2 answers:

Ede4ka [16]2 years ago

8 0

The variable's spectrum of values in a statistical distribution between the upper and lower quartiles.

melisa1 [442]2 years ago

3 0

Answer: The range of the medians of the numbers left and right of the median of the entire data set.

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Compute the surface area of the portion of the sphere with center the origin and radius 4 that lies inside the cylinder x^2+y^2=

Tom [10]

Answer:

16π

Step-by-step explanation:

Given that:

The sphere of the radius = $x^2 + y^2 +z^2 = 4^2$

$z^2 = 16 -x^2 -y^2$

$z = \sqrt{16-x^2-y^2}$

The partial derivatives of $Z_x = \dfrac{-2x}{2 \sqrt{16-x^2 -y^2}}$

$Z_x = \dfrac{-x}{\sqrt{16-x^2 -y^2}}$

Similarly;

$Z_y = \dfrac{-y}{\sqrt{16-x^2 -y^2}}$

∴

$dS = \sqrt{1 + Z_x^2 +Z_y^2} \ \ . dA$

$=\sqrt{1 + \dfrac{x^2}{16-x^2-y^2} + \dfrac{y^2}{16-x^2-y^2} }\ \ .dA$

$=\sqrt{ \dfrac{16}{16-x^2-y^2} }\ \ .dA$

$=\dfrac{4}{\sqrt{ 16-x^2-y^2} }\ \ .dA$

Now; the region R = x² + y² = 12

Let;

x = rcosθ = x; x varies from 0 to 2π

y = rsinθ = y; y varies from 0 to $\sqrt{12}$

dA = rdrdθ

∴

The surface area $S = \int \limits _R \int \ dS$

$= \int \limits _R\int \ \dfrac{4}{\sqrt{ 16-x^2 -y^2} } \ dA$

$= \int \limits^{2 \pi}_{0} } \int^{\sqrt{12}}_{0} \dfrac{4}{\sqrt{16-r^2}} \ \ rdrd \theta$

$= 2 \pi \int^{\sqrt{12}}_{0} \ \dfrac{4r}{\sqrt{16-r^2}}\ dr$

$= 2 \pi \times 4 \Bigg [ \dfrac{\sqrt{16-r^2}}{\dfrac{1}{2}(-2)} \Bigg]^{\sqrt{12}}_{0}$

$= 8\pi ( - \sqrt{4} + \sqrt{16})$

= 8π ( -2 + 4)

= 8π(2)

= 16π

4 0

2 years ago

60 out of 300 is what percent?

ch4aika [34]

100%/x%=300/60(100/x)*x=(300/60)*x - we multiply both sides of the equation by x100=5*x - we divide both sides of the equation by (5) to get x100/5=x 20=x x=20
now we have: 60 is 20% of 300

Hope I helped!
~ Zoe

5 0

2 years ago

Read 2 more answers

THIS MY THIRD TIME POSTING THIS QUESTION PLEASE HELP MEE!!!

Alborosie

Answer:

From my thinking prospection the answer should be 18....

5 0

2 years ago

How do I solve 9.85xs;s=4

maria [59]

Answer:

Reformatting the input :

Changes made to your input should not affect the solution:

(1): "9.85" was replaced by "(985/100)".

Bad syntax in Linear Equations

... V

(985/100)xs;s=4

Bad syntax in Linear Equations

........... V

(985/100)xs;s=4

Multiplication of variables in Linear Equations

........... V

985/100xs;s=4

Equation without an equal sign

............ V

985/100xs;s=4

Step-by-step explanation:

BRAINLIST PLEASE

7 0

2 years ago

Line ab contains A (-2,3) and B (4,5) AB has a slope that

bearhunter [10]

Slope = change in y over change in x
= (5-3) / (4 - -2)
= 2/6 = 1/3

4 0

2 years ago