Answer: 0.00067 minutes
Step-by-step explanation: if the proportion of customers who wait more than 15 minutes is 0.01, then the time interval between each waiting customer 15/0.01 = 1500 minutes.
The distribution that defines this question is that of an exponential.
An exponential distribution is dependent on the fixed time rate at which the event is occurring (λ)
For this question of ours, λ = 1500 minutes.
The mean of an exponential distribution is given as
u = 1/ λ = 1/1500 = 0.00067 minutes.
You can use the discriminant rule, which is :
b^2 -4ac
“exactly one solution” means that it is equal to zero
so:
b^2 -4(4)(9)=0
b^2 -4(36)=0
b^2 -144=0
b^2=144
square root both sides
b=12 or -12
hope this helps !
3x-6=6(x+2)
3x-6=6x+12 3x-6x=6+12
-3x=18 X= 18/-3 X= -6 first number .
For second number you substitute x+2.
-6+2=-4
Substitute
, so that
. Then the ODE is equivalent to

which is separable as

Split the left side into partial fractions,

so that integrating both sides is trivial and we get








Given the initial condition
, we find

so that the ODE has the particular solution,
