Evaulate
at t=0
g(0)=500(1-3^0)
g(0)=500(1-1)
g(0)=500(0)
g(0)=0
g(0) desctibes how many fish are in the new pond
restraints is you can only use whole numbers
the graph increases rapidly then plateus (rate of change of the rate of change slows)
Answer:
Step-by-step explanation:
- given λ =one for every 20minutes = 60/20 = 3customers/hr
- μ = average of 15minutes = 60/15 = 4customers/hr
a) percentage when judy was idle = 1- λ/μ = 1- 0.75 = 0.25
%service time = 0.75
%idle time = 0.25
b) How much time, on average, does a student spend waiting in line;
= λ/ μ( μ- λ)
= 0.75hrs = 0.75 x60 = 45minutes
c) How long is the waiting line on average;
= average waiting time x arrival rate = 0.75hrs x 3 customers/hr
= 2.25customers
d) What is the probability that an arriving student will find at least one other student waiting in line ; Po( probability of idle time i.e no customer to attend to) = 0.25
P1( Probability of having a customer to attend to) = 0.25 x 0.75 = 0.1875
P2( Probability of having 2 customer to attend to) = o.25 x 0.75x0.75 = 0.14
Hence, probability of finding at least one customer = 1 -[ po + p1]
= 1 - 0.25 - 0.1875 = 0.5625
Answer:
the mean high temperature is 71 degrees and the mean low is 31 degrees
Step-by-step explanation:
X equals 10
There you go:)
Answer:
θ = 0.9626
Step-by-step explanation:
Hi there!
We're given the hypotenuse and the leg adjacent to θ in this right triangle. To find θ, we can use the cosine ratio:
Plug in the given information
Use the inverse cosine ratio
Plug this into your calculator (and ensure you're solving for radians instead of degrees in the settings)
Therefore, θ = 0.9626 when rounded to four decimal places.
I hope this helps!