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slamgirl [31]
3 years ago
6

What is the volume of the cylinder?

Mathematics
1 answer:
mamaluj [8]3 years ago
3 0

Answer/Step-by-step explanation:

Volume of a cylinder is given as V = πr²h

Where,

radius (r) = 6 cm

height (h) = 8 cm

Plug in the values

V = π*6²*8

V = π*36*8

V = π*288

V = 288π cm³ or 904.78 cm³

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Answer:

4+(x*4)

Step-by-step explanation:

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A man and a woman agree to meet at a certain location about 12:30 pm. If the man arrives at a time uniformly distributed between
dimaraw [331]

Explanation.

The question is incomplete. However, the complete part of the question simply states that:  What is the probability  that the man arrives first?

Answer:

Therefore, we can say that the probability that the man will arrive first is half that is 1/2 while the probability that no one will wait more than five times is 1/6

Step-by-step explanation:

We assume the man and the woman arrive at 12:X and 12:Y  respectively (1:00 is 12:60). Also, the space of X and Y are [15, 45]  and [0, 60] respectively, and fₓ (x) ≡ 1 / (45 − 15) = 1/30, fy (y) ≡  1 / (60 − 0) = 1 / 60.

So the joint pdf of X and Y is

f(x, y) = 1 / 30 x 1 / 60

         = 1 / 1800

where ( x , y ) ∈ [15, 45] × [0, 60].

Consequentially,

P(| X − Y | ≤ 5) = ∫ Iim (45)(15) ∫ lim (x+5)(x-5) f (x,y)dydx

= 1 / 1800  ∫ Iim (45)(15) y | ₓ₋₅ˣ⁺⁵ dx

= 30 x 10 / 1800

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Hence,

P( X < Y ) = ∫ Iim (45)(15) ∫ lim (60)(x) f (x,y) dydx

= 1 / 1800  ∫ Iim (45)(15) y | ⁶⁰ₓ dx

=  1 / 1800 ∫ Iim (45)(15) ( 60 - x ) dx

= 60 x − x  ²/2 ÷ 1800 ║⁴⁵₁₅

= 1 / 2

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Find the slope of the line through each pair of points ( 2, 1) , (16, 0)
Serggg [28]

Answer:

\huge \boxed{ \boxed{ -  \frac{1}{14} }} \\

Step-by-step explanation:

The slope of a line given two points can be found by using the formula

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From the question we have

m  = \frac{0 - 1}{16 - 2}  =  -  \frac{1}{14}  \\

We have the final answer as

-  \frac{1}{14}  \\

Hope this helps you

6 0
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