16b^12-3(-8b^12)=16b^12-(-24b^12)=40b^12
x + x-5 + x +23 = 180
combine like terms:
3x +18 = 180
subtract 18 from each side:
3x = 162
divide both sides by 3
x = 162 / 3 = 54
Angle x = 54 degrees
Angle x-5 = 54-5 = 49 degrees
Angle x +23 = 54 +23 = 77 degrees
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:
help with what?
Step-by-step explanation:
Base leg (b) = 6
Other leg (a) = 14
Hypotenuse (c) = c
plug this into the equation above and solve for c (taking the square root to solve) so:
142 + 62 = c2
232 = c2
15.23 = c (feet)
Hope this helps have a good day. :)