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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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Organisms A and B start out with the same population size. Organism A's population doubles every day. After 5 days, the populati
Zigmanuir [339]

Answer:

The number of times organism B's population is larger than organism A's population after 8 days is 32 times

Step-by-step explanation:

The population of organism A doubles every day, geometrically as follows

a, a·r, a·r²

Where;

r = 2

The population after 5 days, is therefore;

Pₐ₅ = = 32·a

The virus cuts the population in half for three days as follows;

The first of ta·2⁵ he three days = 32/2 = 16·a

The second of the three days = 16/2 = 8·a

After the third day, Pₐ = 8/2 = 8·a

The population growth of organism B is the same as the initial growth of organism A, therefore, the population, P₈ of organism B after 8 days is given as follows;

P₈ =  a·2⁸ = 256·a

Therefore, the number of times organism B's population is larger than organism A's population after 8 days is P₈/Pₐ = 256·a/8·a = 32 times

Which gives, the number of times organism B's population is larger than organism A's population after 8 days is 32 times.

3 0
3 years ago
A theater has 15 rows of seats with 25 seats in each row. If 19 of the seats are vacant , how many are taken?
Dafna11 [192]

Answer:

356 seats

Step-by-step explanation:

25x15=375

375-19=356

4 0
3 years ago
A car travels 10 km southeast and then 15 km in a direction 60° north of east. Find the magnitude of the car's resultant vector.
ra1l [238]

Answer:

60×10 =600<u>÷</u><u>1</u><u>5</u><u>=</u><u>4</u><u>0</u>

Step-by-step explanation:

oh that's my answer

5 0
2 years ago
Read 2 more answers
Find the missing variables pythagorean theorem
worty [1.4K]

Answer:

y = 12     x = 12√2     z  = 12√3

Step-by-step explanation:

The 45° triangle will also have a height of y so....

    y² + y² = x²          2y²  = x²     y² = x²/2       y = √(x²/2)

The 30°  triangle

    y² + z² = 24²                          y² = 24² - z²          y = √(24² - z²)

                               

sin 30 = y/24          1/2 = y/24      y = 12    

          y² = x²/2

         12² = x²/2²

    2(144)  = x²         x = √(288)       x = 12√2  

      y² + z² = 24²

           z² = 24² - y²

           z² = 24² - 12²

           z² = 576 - 144

            z² = 432      

                =  √(16·9·3)

            z  =  4·3√3

            z  = 12√3

     y² + z² = 24²

    12² + (12√3)² = 24²

    144 + 144·3    =   576

     2y²  = x²

     2(12)²  = x²

      288  =  (12√2)  = 144·2  = 288

5 0
3 years ago
Each cube in this solid figure is a unit cube.<br><br> What is the volume of this solid figure?
padilas [110]

Answer:

The volume of this given solid figure is 18 cubic units.

Step-by-step explanation:

Here, given the volume of 1 small cube = 1 cubic units

Now, counting the total cubes in the given solid figure, we get

Number of cubes in base row = 10

Number of cubes in middle row  = 6

Number of cubes in top most row = 2

So, the total number of cubes in the figure  = 10 + 6 + 2 = 18 cubes

So, the volume of 18 cubes  = 18 ( Volume of 1 small cube)

                                              =  18 x (1 cubic units)  = 18 cubic units

Hence, the volume of this given solid figure is 18 cubic units.

5 0
3 years ago
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