What is the rate of change of the woman's shadow when she's 16ft from the street light?
1 answer:
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Answer:
Options A, C, D are true.
Step-by-step explanation:
We have to choose the pair of points from that given in the attached file which will result in a line with a rate of change i.e. slope of 2:1 i.e. 2.
A. The points are (-4,-11) and (-2,-7).
Then the slope of the joining line is
B. The points are (5,6) and (-5,12).
Then the slope of the joining line is
C. The points are (0,-3) and (-4,-11).
Then the slope of the joining line is
D. The points are (0,-3) and (5,7).
Then the slope of the joining line is
Therefore, options A, C, D are true. (Answer)
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