3 years ago

What is the exact volume of the cylinder?

Mathematics

2 answers:

kenny6666 [7]3 years ago

6 0

V = pi r^2 * h
V = pi * 9 * 6
V = 54 pi in^3

Amiraneli [1.4K]3 years ago

4 0

I think this would be 54. :)

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Let f(x) = xe−x if x ≥ 0 and f(x) = 0 if x < 0 Is f a probability density function?

Lynna [10]

Yes. $f(x)$ is a PDF if

• $f(x) \ge 0$ for all $x$ in the support; this is true, since $e^{-x}>0$ for all $x$ , and multiplying a positive number $x$ doesn't change this fact;

• the integral of $f(x)$ over its support is 1; this is also true, since

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which can be computed by parts.

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2 years ago

Please help, multiple choice

ycow [4]

Answer:

10

Step-by-step explanation:

5x = x20

x · x = 20 · 5

x2 = 100

x = 10

6 0

3 years ago

Read 2 more answers

<img src="https://tex.z-dn.net/?f=f%28x%29%3D%281%2Fx%5E%7B2%7D%20-3%2Fx%5E%7B4%7D%20%29%28x%2B5x%5E%7B3%7D%29" id="TexFormula1"

polet [3.4K]

That’s the answer:)!

7 0

2 years ago

A paddleboat can move at a speed of 4 km/h in still water. The boat is paddled 12 km downstream in a river in the same time it

Bas_tet [7]

Answer:

Speed of the river = $\frac{4}{3}$ km per hour

Step-by-step explanation:

Speed of the boat in still water = 4 km per hour

Let the speed of the river = v km per hour

Speed of the boat upstream = (4 - v) km per hour

Time taken to cover 6 km = $\frac{\text{Distance}}{\text{Speed}}$

= $\frac{6}{4-v}$ hours

Speed of the boat downstream = (4 + v) km per hour

Time taken to cover 12 km = $\frac{12}{4+v}$ hours

Since, time taken by the boat in both the cases is same,

$\frac{6}{4-v}= \frac{12}{4+v}$

6(4 + v) = 12(4 - v)

24 + 6v = 48 - 12v

12v + 6v = 48 - 24

18v = 24

v = $\frac{24}{18}$

v = $\frac{4}{3}$ km per hour

3 0

3 years ago

What is one point six multiplied by 4

zheka24 [161]

1.6 6x4=24
x4
____
6. 4
2
don't know if u get it but here u go

6 0

3 years ago