Answer:
The probability that the next failure will not occur before 30 months have elapsed is 0.0454
Step-by-step explanation:
Using Poisson distribution where
t= number of units of time
x= number of occurrences in t units of time
λ= average number of occurrences per unit of time
P(x;λt) = e raise to power (-λt) multiplied by λtˣ divided by x!
here λt = 25
x= 30
P(x= 30) = 25³⁰e⁻²⁵/ 30!
P (x= 30) = 8.67 E41 * 1.3887 E-11/30! (where E= exponent)
P (x=30) = 1.204 E31/30!
Solving it with a statistical calculator would give
P (x=30) = 0.0454
The probability that the next failure will not occur before 30 months have elapsed is 0.0454
8 over 45.
Hope this helped
Answer:
He gets paid $80 each weekend, and a 15% with tips.
you would need to figure out the tips, by taking the $725 and timesing it by .15 for the percent.
which would be 108.75
you would now take 108.75 and add 80 to get what he made that weekend.
108.75+80 = 188.75 dollars
Step-by-step explanation:
Answer:

Step-by-step explanation:
The exponential function is often used to model natural growing or decaying processes, where the change is proportional to the actual quantity.
An exponential decaying function is expressed as:

Where:
C(t) is the actual value of the function at time t
Co is the initial value of C at t=0
r is the decaying rate, expressed in decimal
The concentration of the pollutants starts at Co=5 mg/lt. We also know the pollutant reduces its concentration by 10% each hour. This gives us a value of r = 10% / 100 = 0.1
Substituting into the general equation:

Operating:

Answer: B.
Step-by-step explanation: TVM Solver Equation:
N = 216 (12 x 18 years)
I% = 3.5
PV = 0
PMT = - $350
FV = 105,106.7593
P / Y = 12 (months)
C / Y = 12
PMT: END