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enot [183]
3 years ago
5

The interarrival time of nuclear particles in a Monte Carlo simulation of a reaction is designed to have a uniform distribution

over an interval from 0 to 0.5 milliseconds. Determine the probability that the interarrival time between two particles will be:
Mathematics
1 answer:
jekas [21]3 years ago
7 0

Answer:

Incomplete question, but you can use the formulas given to solve it.

Step-by-step explanation:

Uniform probability distribution:

An uniform distribution has two bounds, a and b.

The probability of finding a value of at lower than x is:

P(X < x) = \frac{x - a}{b - a}

The probability of finding a value between c and d is:

P(c \leq X \leq d) = \frac{d - c}{b - a}

The probability of finding a value above x is:

P(X > x) = \frac{b - x}{b - a}

Uniform distribution over an interval from 0 to 0.5 milliseconds

This means that a = 0, b = 0.5

Determine the probability that the interarrival time between two particles will be:

Considering a = 0, b = 0.5, and the question asked, you choose one of the three formulas above.

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To find the distance around the circle?
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Answer:

Distance around the circle is perimeter.

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Step-by-step explanation:

π = constant =3.14

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Please finish this equation and write the answer​
olga55 [171]

Given:

The equation is:

2540=\dfrac{22}{7}r^2(20)

To find:

The solution for the given equation.

Solution:

We have,

2540=\dfrac{22}{7}r^2(20)

It can be written as:

\dfrac{2540\times 7}{22\times 20}=r^2

\dfrac{17780}{440}=r^2

\dfrac{889}{22}=r^2

Taking square root on both sides, we get

\sqrt{\dfrac{889}{22}}=r               [Radius cannot be negative]

r=6.3568145

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Therefore, the value of r is about 6.36 cm.

7 0
2 years ago
A single little brown bat can eat up to 1,000 mosquitoes in a single hour. Express in scientific notation how many mosquitoes a
Nastasia [14]
Our final answer must represent "number of mosquitos."  This verifies that the correct calculation would be

1000 mosquitos              10.5 hours
-----------------------  x   --------------------
         1 hour                           1

Multiply this out.  Note that "hours" will cancel.

Whats your result?

Supposing that your result looked like   xxxxx times 10^0,

you'd convert this into scientific notation by moving the decimal place four units to the left (obtaining x.xxx) and then increasing the exponent of 10 from zero to four (obtaining 10^4).

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8 0
3 years ago
Choose the graphic representation of the quadratic function f(x) = x2 – 8x + 24.
larisa86 [58]

Refer the attached figure for the graphic representation of the given quadratic equation.

<u>Step-by-step explanation:</u>

Given expression:

    f(x)=x^{2}-8 x+24

To find:

  The graphic representation of the given quadratic function

For solution, plot the graph to the given quadratic equation.

The standard form of the equation is

  y=a x^{2}+b x+c

When comparing with given quadratic equation,

a = 1, b = - 8, c = 24

Axis of symmetry is x=\frac{-b}{2 a}

By applying the values, the axis of symmetry of given equation is

     x=\frac{-(-8)}{2(1)}=4

The vertex form of quadratic equation is f(x)=a(x-h)^{2}+k

Where, (h,k) are the vertex.

Convert the quadratic equation into vertex form.

By completing the square,

f(x)=x^{2}-8 x+24

f(x)=\left(x^{2}-2(4) x+4^{2}\right)-4^{2}+24

f(x)=(x-4)^{2}+8

On comparison,

(h , k) = (4 , 8)

Now, plot the equation with vertex (4,8) [refer attached figure].

4 0
3 years ago
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