1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
AleksandrR [38]
3 years ago
8

The length of a rectangle is four times it width. If the perimeter of the rectangle is 70 ft, find its length and width

Mathematics
1 answer:
mojhsa [17]3 years ago
7 0

Answer:

length= 4w

width= w

perimeter= 2(l+w)

70= 2(4w+w)

70=8w+2w

<u>70</u>=<u>10</u>w

10. 10.

w= 7ft

l= 7×2

=56

You might be interested in
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
3 years ago
Read 2 more answers
I NEED HELL PLZ I don’t get it i need to turn it soon.
Blababa [14]
60% of the class is blonde
7 0
2 years ago
Read 2 more answers
Help pls will give brainliest to correct answer
Marysya12 [62]
D is correct answers
7 0
3 years ago
Please help me i been stuck all day on this. Find the value of x.
erastova [34]

Answer:

14

Step-by-step explanation:

105 and (6x-21) the same. So you do 105 minus 21, then divide that by 6.

7 0
3 years ago
Read 2 more answers
A fuel tank contains 1 3/4 gallons of gasoline. Casey adds 33 1/3 gallons of
romanna [79]

Answer:

The gallons of gas the tank contain now is <u>35 1/12</u>.

Step-by-step explanation:

Given:

Fuel tank contains 1 3/4 gallons of gasoline.

Casey adds 33 1/3 gallons of  gasoline to the tank.

Now, to find the total gallons of gas the tank contain.

Converting the mixed fractions into improper.

Gallons of gasoline in fuel tank =1\frac{3}{4}=\frac{7}{4}.

Gallons of gasoline Casey adds =33\frac{1}{3} =\frac{100}{3}.

<u>According to question:</u>

By adding we get the total gallons of gasoline now tank contain:

\frac{7}{4} +\frac{100}{3}

=\frac{7\times 3+100\times 4}{12}

=\frac{21+400}{12}

=\frac{421}{12}

=35\frac{1}{12}

Therefore, the gallons of gas the tank contain now is 35 1/12.

5 0
3 years ago
Other questions:
  • Using the greatest common factor for the terms, how can you write 56 + 32 as a product?
    7·1 answer
  • identify a counterexample for the following conditional: if you live in Springfield, then you Iive in Illinois.
    9·1 answer
  • Please help ill brainlist and put higher points in my next question
    12·1 answer
  • Periodic rate can be computed using this formula
    8·1 answer
  • A moving company has one large truck for furniture and one small truck for boxes. During one move, it took the large truck 4 hou
    8·1 answer
  • Find the equation of the line that is parallel to y=-x+5 that passes through (3,0)
    6·1 answer
  • Formula for finding the line of symmetry of a quadratic function?
    10·2 answers
  • What equation is equivalent to ax-y=b
    8·1 answer
  • The hourly earnings (in dollars) for a sample of 25 railroad equipment manufacturers are:15.60 18.7514.60 15.8014.3513.90 17.501
    9·1 answer
  • The larger of two numbers is 5 more than the smaller. The smaller number plus the larger equals 100. Find the number.
    15·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!