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padilas [110]
3 years ago
15

An application of the Monte Carlo method to find the area Ac inside a circle uses a random sample of points Ns in a square area

As surrounding the circle and counts the number of points that are found inside the circle Nc. Which expression describes the estimate for the area inside the circle

Mathematics
1 answer:
Sergio [31]3 years ago
8 0

Answer:

As*Nc/Ns

Step-by-step explanation:

The square has Ns discrete points. The points are quite large and are close around each other

As = Area of square

Nc = number of points inside square

Ns = total number of points inside square

Ac = area of circle

Such that

Nc/Ns = Ac/As

We cross multiply

AcNs = NcAs

Dividing through by Ns will give:

Ac = NcAs/Na

Which Is also

= As *Nc/Na

I also added an attachment to help you!

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(4,7) and (5,1) as an equation
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Answer:

y = -6x + 31

Step-by-step explanation:

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The formula for slope is rise/ run. The rise is 6 and the run is -1.

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4 years ago
To write the polynomial 3x3 + x2 − 8x5 + 2x3 − 4x in standard form, which terms should be combined? A. 3x3 and 2x3 B. 3x3, 2x3,
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Answer:

Option A. is correct

Step-by-step explanation:

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4 years ago
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Answer:

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Step-by-step explanation:

Exponential growth functions are represented by the following equation: f(x)=ab^x, where 'a'=initial value; 'b'=rate of growth; 'x'=independent value or time.  Given the points, we see that the values of 'x' increase by 1 each time and dividing two 'y' values (35/21.875; 56/35; 89.6/56) gives us a change of 1.6.  Rate is the change in y/the change in x, or 1.5/1, which is the value of 'b'. When 'x' is equal to 0, the value of 'y' is 35, so this represents the initial value, or 'a'.  Plugging in these values will give us the final equation f(x)=35(1.6)^x.

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vovikov84 [41]
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