<img src="https://tex.z-dn.net/?f=%5Cfrac%7Bp%2B9%7D%7B5%7D%20%3Dr%2Cfor%20%28p%29" id="TexFormula1" title="\frac{p+9}{5} =r,for

All categories

algol13

2 years ago

(p)" alt="\frac{p+9}{5} =r,for (p)" align="absmiddle" class="latex-formula">

Mathematics

1 answer:

marusya05 [52]2 years ago

4 0

Answer:

P = 5r + 9

Step-by-step explanation:

You might be interested in

Given m ||n, find the value of x <br> 167°

frutty [35]

Answer:

Step-by-step explanation:

180-167= 13

× = 13 degrees

7 0

2 years ago

The king who retains power by tradition of allegiance ensures that a religious doctrine is enforced as government policy. Which

vaieri [72.5K]

Answer:

The answer is C.This country has both a democracy and a theocracy

6 0

3 years ago

The area of a rectangle is 30 + 12x. List at least 3 possibilities for the length and width of the rectangle.

Gala2k [10]

Answer:

Below in bold.

Step-by-step explanation:

Area = 30 + 12x and area is also = to width * length so we need to look for factors of 30 + 12x.

30 + 12x = 6(5 + 2x)

So 6 and 5 + 2x is one possible answer.

3 and 10 + 4x is another.

12 and 2.5 + x is another.

If we multiply these pairs together we see that the result is

30 + 12x in each case.

6 0

3 years ago

A new shopping mall is considering setting up an information desk manned by one employee. Based upon information obtained from s

quester [9]

Answer:

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

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

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

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

e) $W_s =\frac{1}{\lambda -\mu}=\frac{1}{30-20}=0.1hours$

f) $W_q =\frac{\lambda}{\mu(\mu -\lambda)}=\frac{20}{30(30-20)}=0.0667 hours$

Step-by-step explanation:

Notation

P represent the probability that the employee is idle

$p_x$ represent the probability that the employee is busy

$L_s$ represent the average number of people receiving and waiting to receive some information

$L_q$ represent the average number of people waiting in line to get some information

$W_s$ represent the average time a person seeking information spends in the system

$W_q$ represent the expected time a person spends just waiting in line to have a question answered

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".

Part a

Find the probability that the employee is idle

The probability on this case is given by:

In order to find the mean we can do this:

$\mu = \frac{1question}{2minutes}\frac{60minutes}{1hr}=\frac{30 question}{hr}$

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:

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

Part e

Find the average time a person seeking information spends in the system

For this average we can use the following formula:

$W_s =\frac{1}{\lambda -\mu}=\frac{1}{30-20}=0.1hours$

Part f

Find the expected time a person spends just waiting in line to have a question answered (time in the queue).

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

$W_q =\frac{\lambda}{\mu(\mu -\lambda)}=\frac{20}{30(30-20)}=0.0667 hours$

6 0

2 years ago

Read 2 more answers

(2n^4 - 8 - 3n) - (4n^2 + 7n +4) <br> I have to simplify but don't know how to

Ahat [919]

First remove the parenthes as there is a negtive outside the second parentheses the signs of the terms inside change.

= 2n^4 - 8 - 3n - 4n^2 - 7n - 4

Now simplify like terms

= 2n^4 - 4n^2 - 10n - 12

= 2(n^4 - 2n^2 - 5n - 6)

3 0

3 years ago