Answer:
Step-by-step explanation:
Assume this is function is a straight line, consider the equation of the straight line:
To find the gradient of the equation, we use any two coordinates from the table.
We substitute the value of m in the equation:
To find c, we use the leftover coordinates, (4,0) in the equation above:
Substitute this value of c in the equation to get the function:
Answer:
2/3 * 1/3 = 2/9
Step-by-step explanation:
You see the top 2 lines being shaded which is 2/3's of the whole square.
The second shaded part only covers 1/3 of the whole square.
Thus, you multiply both parts to figure out the darkest shaded part!
Answer:
6. (A) divergent, (B) need not divergent
Step-by-step explanation:
using comparision test, A is divergent since it is greater than a divergent series but we don't know if B is divergent since it is less than divergent series but we don't know if it is converget either.
Answer:
90:18 units
Step-by-step explanation:
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