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The reference desk of a university library receives requests for assistance. Assume that a Poisson probability distribution with

NISA [10]

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

$\frac{7}{8} = 0.875$

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)

$= \frac{7}{8 - 7}$

= 7

(c) Average time in minutes before service

= λ/[μ(μ - λ)]

$= \frac{7}{8(8 - 7)}$

= 0.875 hour

(d) average time at the reference desk in minutes.

Average time in the system js given as: 1/(μ - λ)

$= \frac{1}{(8 - 7)}$

= 1 hour

(e) Probability that a new arrival has to wait for service will be:

λ/μ =

${7}{8}$

= 0.875

5 0

3 years ago

Write down the relation between mass and inerti

Leya [2.2K]

Answer:

The mass of an object is directly proportional to its inertia.

$m\alpha I$

Where

m = mass

I = inertia

Step-by-step explanation:

We can first of all start by defining the two key terms present here - mass and inertia.

The mass of an object is the quantity of matter contained in the object.

The inertia of an object is the resistance of an object which is in a state of rest to motion

The mass of an object is directly proportional to its inertia.

The heavier an object is, the more inertia it has. To put things into perspective, you can easily push a bicycle because it does not really have a lot of mass, as opposed to pushing an eighteen-wheeler trailer.

6 0

3 years ago

(2/5x) + 3 + (1/5x -1)

Ket [755]

Answer:

The answer is 15x+3 i think........... or its 10x+3/5x

Step-by-step explanation:

3 0

3 years ago

Read 2 more answers

The air pressure inside Jason's bike tires decreases by about 6% each week. The original pressure was 45 pounds per square inch

Fudgin [204]

Lets do this week by week
beginning pressure 45 pounds
end of week 1
45 *.06 = 2.7
45 - 2.7 = 42.3
end of week 2
42.3 * .06 = 2.538
42.3 - 2.538 = 39.762
end of week 3
39.762 *.06 = 2.38
39.762 - 2.38 = 37.37
end of week 4
37.37* .06 = 2.2425
37.37628 - 2.2425= 35.12
end of week 5
35.12 * .06 = 2.107
35.12 - 2.107 = 33.012
end of week 6
33.012* .06 = 1.98
33.012 - 1.98 =31.03

Here is the fast way to get to this answer.
do 1-.06 = .94

then do
45(.94)(.94)(.94)(.94)(.94)(.94) = 31.04

8 0

3 years ago

Plz plz plz plz help

Lady_Fox [76]

Answer:

AC is 6.5 cm

Step-by-step explanation:

From trigonometric ratios:

$\sin( \theta) = \frac{opposite}{hypotenuse} \\$