75 hours because they both do it in the future
Answer:
(a) Average number expected = 13.07 people
(b) Average number of persons = 14 persons
(c) Average amount of time = 0.9333 hours
(d) Time taken = 1 hour
Step-by-step explanation:
We are informed that the arrivals have a Poisson distribution from an infinite population. On average, 14 persons per hour request a test. Hence,
Arrival rate = λ = 14
Each blood pressure measurement takes 4 minutes. In 1 hour, 60 / 4 = 15 persons are served. Hence,
Service rate = μ = 15
(a) Average number in line = (λ^2) / μ(μ - λ)
= (14^2) / 15(15 - 14)
= 13.07
(b) Average number in system = λ / (μ - λ)
= 14 / (15 - 14)
= 14
(c) Average waiting time = Average number in line / λ
= 13.07 / 14
= 0.9333
(d) Average total time = Average number in system / λ
= 14 / 14
= 1
Let t represent "total price." Then 0.20t = $1600, and t = $1600/0.20 =
$8000 (answer)
(3 , -1)
Step by step explanation:
On the x-axis, the dot is below the number 3 and on the y-axis, the dot is on the right side of -1
consider X-axis along the east-west direction and north-south direction along Y-axis
A = magnitude of distance traveled by hiker in north-east direction = 30 kilometer
θ = angle of direction of displacement of the hiker relative to x-axis or east direction = 45 degree counterclockwise
A' = component of distance traveled by the hiker along the east direction.
Since the angle is given with the x-axis, the Sin provides the component in Y-direction. hence
Using the equation
A' = A Sinθ
Inserting the values
A' = (30) Sin45
A' = 21.2 km
