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3 years ago

Math help please What is the length of AC¯¯¯¯¯ ?

Mathematics

1 answer:

irina1246 [14]3 years ago

7 0

Answer:

AC = 6

Step-by-step explanation:

given ∠A = ∠C then triangle is isosceles with BC = AB, hence

3x - 8 = x + 4 ( subtract x from both sides )

2x - 8 = 4 ( add 8 to both sides )

2x = 12 ( divide both sides by 2 )

x = 6

⇒ AC = x = 6

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Step-by-step explanation:

Notation

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This an special case of Single channel model

Single Channel Queuing Model. "That division of service channels happen in regards to number of servers that are present at each of the queues that are formed. Poisson distribution determines the number of arrivals on a per unit time basis, where mean arrival rate is denoted by λ".

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In order to find the mean we can do this:

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And in order to find the probability we can do this:

$P=1-\frac{\lambda}{\mu}=1-\frac{20}{30}=0.33$ and that represent the 33%

Part b

Find the proportion of the time that the employee is busy

This proportion is given by:

$p_x =\frac{\lambda}{\mu}=\frac{20}{30}=0.66$

Part c

Find the average number of people receiving and waiting to receive some information

In order to find this average we can use this formula:

$L_s= \frac{\lambda}{\lambda -\mu}$

And replacing we got:

$L_s =\frac{20}{30-20}=\frac{20}{10}=2 people$

Part d

Find the average number of people waiting in line to get some information.

For the number of people wiating we can us ethe following formula"

$L_q =\frac{\lambda^2}{\mu(\mu-\lambda)}$

And replacing we got this:

$L_q =\frac{20^2}{30(30-20)}=1.333 people$

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For this case the waiting time to answer a question we can use this formula:

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