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2 years ago

How does the area below the mean compare to the area above the mean in a normal distribution?

Mathematics

1 answer:

STALIN [3.7K]2 years ago

5 0

Answer:

Step-by-step explanation:

that is the definition of "mean". it cuts the possible outcomes weighed with their probabilities (actual occurrences vs. possible occurrences) in 2 halves.

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The area of a circular sun spot is growing at a rate of 1,200 km2/s.

Tpy6a [65]

A)

$\bf \textit{area of a circle}\\\\
A=\pi r^2
\\\\\\
\cfrac{dA}{dt}=\pi \cdot 2r\cfrac{dr}{dt}\implies \cfrac{dA}{dt}=2\pi r\cfrac{dr}{dt}\implies \cfrac{\frac{dA}{dt}}{2\pi r}=\cfrac{dr}{dt}\\\\
-----------------------------\\\\
\left. \cfrac{dr}{dt} \right|_{r=3000}\implies \cfrac{1200}{2\pi \cdot 3000}=\cfrac{dr}{dt}\\\\$

B)

$\bf A=\pi r^2\qquad A=490000\implies 490000=\pi r^2\implies \sqrt{\cfrac{490000}{\pi }}=r
\\\\\\
\left. \cfrac{dr}{dt} \right|_{r=\sqrt{\frac{490000}{\pi }}}\implies \cfrac{1200}{2\pi \cdot \sqrt{\frac{490000}{\pi }}}=\cfrac{dr}{dt}
$

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2 years ago

Please answer this question now

shusha [124]

Hi there! :)

Answer:

$\huge\boxed{V = 359.01 mm^{3} }$

Use the formula V = 1/3(bh) to solve for the volume of the cone where b = πr² where π ≈ 3.14:

Find the area of the base:

b = π(7)²

b = 49π

b = 153.86 mm²

Find the volume:

V = 1/3(153.86 · 7)

V = 1/3(1077.02)

V = 359.006 ≈ 359.01 mm³.

4 0

2 years ago

In the orthonormal system (O; i⃗,j⃗) below, consider point A(3, −1), vector v⃗(2,1), and

Akimi4 [234]

Answer:

Step-by-step explanation:

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2 years ago

Simplify 5x + 3 -2x + 1

Wittaler [7]

Answer:

3x+4

Step-by-step explanation:

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2 years ago

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A survey was sent out to local households regarding the constitution of a new restaurant In the area. 84 households responded to

Alex_Xolod [135]

Answer:

84<1/4h

Step-by-step explanation:

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2 years ago