2.544392* 10^3
In scientific notation
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:
C
Step-by-step explanation:
m = 5x - 2
(5x - 2)² + 35x - 14 = -12
(5x - 2)² + 7(5x - 2) = -12
Replace (5x - 2) by m in the equation above
m² + 7m = -12
m² + 7m + 12 = 0
Answer:
$32
Step-by-step explanation:
Given : you could make $8 an hour for four hours of work and you also spend about $25 each time you go to the arcade
To Find : what is the opportunity cost of going to the arcade on Saturday night
Opportunity cost is the value of something when a particular course of action is chosen. the opportunity cost is what you must forgo in order to get something.
So,the cost what you must forgo in order for going to arcade is the opportunity cost.
Since you make make $8 an hour
So, for four hours of work you make = 8*4 = $32
Hence the opportunity cost is $32
Parallel lines have the same slope
y - y1 = m(x - x1)
slope(m) = 2/4
(2,5)...x1 = 2 and y1 = 5
now we sub
y - 5 = 2/4(x - 2)
now if there is a typo and ur slope is 3/4....it would be :
y - 5 = 3/4(x - 2)