Answer:
Step-by-step explanation:
Given
A cube is rolled 84 times
2 occurred 12 times
Experimental probability is determined by the use of data obtained in the experiment.
Therefore, the experimental probability of obtaining 2 on 84 rolls of the die is
Answer:
x=2.83
Step-by-step explanation:
Through visual interpretation we get that,
CDF=FDE+CDE
Hence,
3x+14=5x-2+10x-18
3x-5x-10x=-14-2-18
-12x=-34
x=2.83
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)
The lower quartile is the mean of the lower half of the data set, not incuding the median value. In this case, the lower half is 5, 8, 10, 20 and the median is 9.