Answer:
Step-by-step explanation:
Standard form for this circle is
![x^2+y^2=25](https://tex.z-dn.net/?f=x%5E2%2By%5E2%3D25)
<h3>
Answer: P(3) = 0.20</h3>
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Explanation:
The Poisson PDF value is given by the function
P(x) = ( e^(-mu)*mu^x )/(x!)
where the exclamation mark indicates a factorial
In this case, mu = 4, so we can update the equation into
P(x) = ( e^(-4)*4^x )/(x!)
Now plug in x = 3 to finish off the problem
P(x) = ( e^(-4)*4^x )/(x!)
P(3) = ( e^(-4)*4^3 )/(3!)
P(3) = 0.1953668148129
P(3) = 0.20
Note: The 'e' is a special constant which is approximately e = 2.718, similar to how pi = 3.14 is a constant used often.
Answer:
x(t) = 5000*( 1 - e^-kt)
Step-by-step explanation:
Given:
- Total number of students n = 5000
Find:
Differential equation governing the number of students x(t) who have contracted the flu.
Solution:
- Number of non-affected students = (5000 - x)
Hence,
- Rate at which students are infected:
dx / dt = k*(5000 - x )
- separate variables:
dx / (5000 - x ) = k*dt
- Integrate both sides:
- Ln(5000 - x) = kt + C
- Evaluate C for x = 0 @ t = 0
- Ln(5000 - 0) = k*0 + C
C = - Ln(5000)
- The solution to ODE is:
Ln(5000 - x) = -k*t + Ln(5000)
5000 - x = 5000*e^-kt
x(t) = 5000*( 1 - e^-kt)
For x 1= 0, y 1= 5, x 2 = 1 , y 2 = 5 + 7 = 12, ...
The equation in the slope-intercept form:
y = m x + b
b = 5, m = 7
Answer:
y = 7 x + 5