Look at the prism

frozen [14]

Subtract 4 from both sides of the equation
you will end up with 2/7x=4
next multiply 7x by both sides
you will end up with 2=28x
next divide 28 from both sides
you will end up with x=1/14 in
fraction form. Hope this helps.

8 0

2 years ago

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Marilyn has two credit cards, D and E. Card D has a balance of $691. 64, and Card E has a balance of $1,014. 22. The minimum mon

elena-14-01-66 [18.8K]

By using basic concept of percentage we got that minimum payment on Card E is 0.77 than on Card D.

<h3>What is percentage ?</h3>

Percentage is a number or ratio expressed as a fraction of 100.

Here given that

Marilyn has two credit cards, D and E. Card D has a balance of $691. 64, and Card E has a balance of $1,014. 22. The minimum monthly payment on Card D is 3. 57% of the total balance, and the minimum monthly payment on Card E is 2. 51% of the total balance

So minimum balance of Card D is 3.57 Percentage of $ 691.64

$=3.54\times\frac{691.64}{100} =24.691548=24.69$

minimum balance of Card E is 2. 51 Percentage of $1,014. 22.

$=2.51\times\frac{1014.22}{100} =25.456922=25.46$

Now we can see that minimum balance of Card E is 25.49-24.69=0.77 extra that on D

By using basic concept of percentage we got that minimum payment on Card E is 0.77 than on Card D.

To learn more about Percentage visit : brainly.com/question/19247356

4 0

2 years ago

Jade can travel 42 miles in 4 hours. Please calculate Jade's rate of speed. (round to 2 decimal places)

mel-nik [20]

C. 10.5 miles per hour

7 0

2 years ago

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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

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100/32 can someone help me how much would this be in fraction

kap26 [50]

Your answer would be 3 and 1/8

7 0

2 years ago