Answer:
a) 0.125
b) 7
c) 0.875 hr
d) 1 hr
e) 0.875
Step-by-step explanation:l
Given:
Arrival rate, λ = 7
Service rate, μ = 8
a) probability that no requests for assistance are in the system (system is idle).
Let's first find p.
a) ρ = λ/μ
Probability that the system is idle =
1 - p
= 1 - 0.875
=0.125
probability that no requests for assistance are in the system is 0.125
b) average number of requests that will be waiting for service will be given as:
λ/(μ - λ)
= 7
(c) Average time in minutes before service
= λ/[μ(μ - λ)]
= 0.875 hour
(d) average time at the reference desk in minutes.
Average time in the system js given as: 1/(μ - λ)
= 1 hour
(e) Probability that a new arrival has to wait for service will be:
λ/μ =
= 0.875
(-7,-5)
Step-by-step explanation:
3x-8y = 19
minus
3x + 5y = -46
0x - 13y = 65
- 13y = 65
÷-13
y = - 5
Substitute y = - 5 into one of the functions:
3x-8y = 19
-8 x - 5 = 40
3x + 40 =19
-40
3x. = - 21
÷3
x= - 7
Solution is (-7,-5)
Hope this helps!
Answer:
B, C
Step-by-step explanation:
x-intercepts are when y=0. f(x) has two x-intercepts at (1, 0) and (5, 0). g(x) also has two x-intercepts; (-3, 0) and (5, 0). So the first one is false, and the second one is true.
The maximum value of f(x) is 2. The maximum value of g(x) is 4. So the third one is true.
The y-intercept is the value of y when x=0. So the y-intercept of f(x) is -1, and the y-intercept of g(x) is 3. So the fourth one is false.
Answer:
i accidentally posted this empty
i meant to ask if there was an image attached
sorry bout that
Step-by-step explanation:
Answer:
25%
Step-by-step explanation:
There's a total of 5+8+7 = 20 marbles.
The chance of picking a blue marble is 
25%, as there's 5 blue marbles and a total of 20.
