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
Answer:
Step-by-step explanation:
(2/5)x + 9 = 9 is equivalent to (2/5)x = 0
"Nine more than two-fifths of a number is nine" is correct.
First let's define variables:
r: reading
s: skimming
We write the system of equations that adapts to the problem:
r + s = 275
(15/10) r + (10/15) s = 355
We solve the system of equations:
r = 206
s = 69
Note: see attached image for system solution.
Answer:
Jayden had to skim 69 pages through
Answer:
Pattern B gets larger faster.
Step-by-step explanation:
Pattern A: 1, 4, 7, 10, 13
Pattern B: 1, 5, 9, 13, 17
The terms of pattern B are larger than those of Pattern A by 1 less than the number of the term. (Term 5 of Pattern B is 4 more than term 5 of Pattern A, for example.)