The residents of a certain dormitory have collected the following data: People who live in the dorm can be classified as either involved in a relationship or uninvolved. Among involved people, 15 percent experience a breakup of their relationship every month. Among uninvolved people, 15 percent enter into a relationship every month. What is the steady-state percentage of residents who are uninvolved

Answers

Answer 1

Answer:

the steady-state percentage of residents who are uninvolved is 0.5

Step-by-step explanation:

 Given the data in the question;

let N represent total number of people in the dormitory

I represent  people involved in a relationship

and U represent people uninvolved in a relationship.

so

N = I + U

I = N - U ------ let this be equation 1

Rate of Uninvolved = U/N

now, given that rate of break ups B = 15% every month = 0.15

rate of entering into relationship  R = 15% every month = 0.15

Now, the steady state condition is;

RU = BI ------- let this be equation 2

such that uninvolved rate is constant.

we input equation 1 into 2;

RU = B( N - U  )

we divide both sides by N

RU/N = B( N/N - U/N  )

RU/N = B( 1 - U/N  )

U/N = B / (B + R)

so we substitute

U/N = 0.15 / (0.15 + 0.15)

U/N = 0.15 / 0.3

U/N = 0.5

Therefore, the steady-state percentage of residents who are uninvolved is 0.5


Related Questions

Help me who here is a master at math I need your help !!

Answers

Answer:

88.4ft²

Step-by-step explanation:

oh lordy, why, why, nobody's garden is actually like this, and even if it was, you don't need to know the area, hold onto your hats:

So, we're going to assume that we can split the 10.4 evenly into the triangles and the trapezoid, so let's start with that:

10.4 ÷ 2 = 5.2 (if this is what get the whole thing wrong, I'm so sorry)

So, now we're going to do the triangle to the left of the trapezoid (remember that the formula for a triangle is base x height ÷ 2):

6 x 5.2 ÷ 2 = 15.6

So the area is 15.6ft

Now let's do the triangles under the trapezoid:

So the entire length of the under thing is 18 feet, and we take off 6 from the previous triangle, so:

18 - 6 = 12

and we're going to assume that both the triangles are equal:

12 ÷ 2 = 6

6 x 5.2 = 15.6 (at this point I realize that all the triangles are equal, welp, we just did that for nothing, anyways) now we need two of them

15.6 x 2 = 31.2

So the area of the triangles under the trapezoid is 31.2ft

Now, the trapezoid:

so we know that the top base is 4 feet, and we know that the bottom one is 12 from the triangles above us, (the formula for a trapezoid is (base + base)height ÷ 2) so:

4 + 12 = 16

16 x 5.2 = 83.2

83.2 ÷ 2 = 41.6

So the trapezoid is 41.6ft

Now we add all of our disgustingness together:

15.6 + 31.2 + 41.6 = 88.4

So, the area of the entire garden is 88.4ft²

hope this helps:)

please help!!!!!!!!!!!!

Answers

Answer:

h = 2 ft

Step-by-step explanation:

V = lwh

144 = (9)*(8)*(h)

144 = (72)*h

h = 144/72

h = 2 ft

the sum of two consecutive odd number is 108. find the smaller number​

Answers

9514 1404 393

Answer:

  53

Step-by-step explanation:

Their average is the sum divided by 2: 108/2 = 54. This average is the even number between the two odd numbers of interest.

The smaller number is 53.

Which of the following are possible answers you might get when solving a system of equations? Select all that apply


A. One Solution
B. No Solution
C. Infinite Solutions
D. Unique Solutions

Answers

What is this based off of? There is not a picture of the equation or graph for us to know. Also please don’t click on that link posted by someone else, it’s a tracking link.

In Ivy’s neighborhood, 40% of the homes have a swimming pool. If there are 80 homes in the neighborhood, then how many have a swimming pool?

Answers

Answer:

32 homes

Step-by-step explanation:

To get the amount of homes with a pool, simply do

HOMES * 0.40

So 80x0.4 = 32 homes with a pool

Ivy the woods in a few years

Answer this ASAP : The company is also having a problem deciding on a torso design for Tinker. Each design has a height of 10 cm. Below are the three choices they have decided on. 3) Each of the torsos is filled with chocolate. One of the managers wants to throw out Design C. He argues that the amount of chocolate needed to fill it is so much more than the other two types that it shouldn't even be a choice. Is he right or wrong? Explain.​

Answers

Answer:

All three designs will hold he same amount of chocolate (60 cubic centimeters). So, the manager is wrong.

Step-by-step explanation:

Let's find the volume of each design.

For Design A, the cross section is a rectangle rectangle measured 3 cm by 2 cm.

Therefore, the area of the cross section is:

[tex]A_1=3(2)=6\text{ cm}^2[/tex]

Since the height is 10 cm, the total volume of Design A is:

[tex]V_1=10(6)=60\text{ cm}^2[/tex]

For Design B, the cross section is also a rectangle measuring 3 cm by 2 cm.

So, the area of the cross section is:

[tex]A_2=3(2)=6\text{ cm}^2[/tex]

And the height is still 10 cm. So, the total volume of Design B is:

[tex]V_2=6(10)=60\text{ cm}^3[/tex]

Note that we use the vertical height, and not the slant height. If this seems confusing, imagine each layer being a cracker. If 10 crackers were laid on top of each other perfectly, that is Design A. However, if we were to move each cracker to the right a bit, that is Design B. The volume of both cases are the same.

For Design C, the cross section is a triangle with a base length of 6 cm and a height of 2 cm.

So, the area of the cross section is:

[tex]\displaystyle A_3=\frac{1}{2}(2)(6)=6[/tex]

And since the height is 10 cm, the volume of Design C is:

[tex]V_3=6(10)=60\text{ cm}^3[/tex]

Therefore, as we can see, all three designs will hold he same amount of chocolate. So, the manager is wrong.

A study will be conducted to investigate whether there is a difference in pain relief for two brands of headache pills, N and P. Participants will be randomly assigned to one of two groups. One group will take pill N when they experience a headache, and the other group will take pill P when they experience a headache. Each participant will record the number of minutes it takes until relief from the headache is felt. The mean number of minutes will be calculated for each group. Which of the following is the appropriate test for the study?

a. A two-sample z-test for a difference between population proportions.
b. A two-sample t-test for a difference between population means.
c. A matched-pairs t-test for a mean difference.
d. A one-sample z-test for a population proportion
e. A one-sample t-test for a population mean

Answers

Answer:

b.  TWO SAMPLE T TEST FOR POPULATION MEANS

Step-by-step explanation: the problem mentions difference and the mean number of minutes so you know it'll be a difference in population MEAN

help please i genuinely cant

Answers

Answer:

Part A: 3x + 36 = 180

Part B: x = 48

Step-by-step explanation:

A straight line is equal to 180 degrees. Knowing this, both 3x and 36 should be equal to 180. Write an equation:

3x + 36 = 180

Solve the equation:

3x + 36 = 180

Subtract 36 from both sides

3x = 144

Divide both sides by 3 to isolate the variable

x = 48

Check your work:

3(48) + 36 = 180

144 + 36 = 180

180 = 180

Correct

ASAP PLEASE HELP!!! How many cubic feet of sand will fill a sandbox with the following dimensions: 6 ft long x .5 ft high x 5 ft wide?

Answers

Answer:

15ft³

Step-by-step explanation:

3 Ms. Sosa's principal gave her $350 to spend on school supplies at the beginning of the year. She bought 10 packs of dry erase markers for $9.98 each and 15 packs of pre-sharpened pencils that cost \$12.99 each . How much does she have left to spend?
A $302.03
B $644.65
C $55.35
D $295.65

Answers

Answer:The answer is D

Step-by-step explanation: Mark me brainliest please

Find the solution set of the inequality:

82 + 2 > 34

SOMEONE PLS HELP

Answers

Answer:

82+2>34

84>34

True

I hope this helps :)

Simplify. Please help.

Answers

Answer:

I believe it is B

Step-by-step explanation:

if correct pls mark brainliest

Answer:

4^8

Step-by-step explanation:

When multiplying powers, keep the base the same and add the exponents.

4^6 x 4^2 = 4^8


[tex](x + 2)(3x - ) = 0[/tex]

Answers

Answer:

∝∦⊄↑∫∫π≡³≥α㏑∩⊃∞

Step-by-step explanation:

Help please due in 45 minutes!!!

Answers

Answer:

x=8

y=1

the point would be at (8,1)

Witch value of x makes this equation true 2(2x - 4) + 4=12

A) 3
B) 4
C) 5
D) 6

Answers

Answer:

X=4

Step-by-step explanation:

2(2x-4)+4=12

4x-8+4=12

4x-4=12

4x-4+4=12+4

4x=16

x=4

SOMEONE PLEASE help me answer this

Answers

Answer:

5.7 m is the answer

Step-by-step explanation:

a = 7m

b = ?

c = 9m

According to the Pythagorean theorem,

a² + b² = c²

7² + b² = 9²

49 + b² = 81

b² = 81 - 49

b² = 32

b = 5.656

Round to the nearest tenth,

b = 5.7 m

Victoria has a jewelry box shaped like a rectangular prism! Please help!!

Answers

Answer:

C.

Step-by-step explanation:

Length * width * height = volume

15*9*9 = 1215

What is the value of X in the equation -6+ X equals -2
1) 8
2) 4
3) -4
4) -8

Answers

2) 4

Hope this helps :T

girlcome 5324611502
p:here​

Answers

Answer:

what

Step-by-step explanation:

Answer:

im confused

Step-by-step explanation:

Sami opened an account with a deposit of $4,000.
• The bank pays 3.5% annual simple interest on this account
• Sami did not make any additional deposits or withdrawals.
How long will it take for Sami to earn $2,100 in interest on this
account?

Answers

835.71$

Step-by-step explanation:

is the answer just done it

Work out
25
% of
401.16
m

Answers

25 hope this helps !

Answer:

100.29m

Step-by-step explanation:

PLEASE HELP
BRAINLIEST
NO FILE HOSTING LINKS!!
Answer each part. If necessary, round your answers to the nearest hundredth.

Answers

Answer:

a) 11/7 pages or about 1.57

b) 23/11 dollars or 2.09090909....... (goes on forever)

BRAINLIEST PLS

someone pls help me, i will mark brainliest(no links)

Answers

A and D are proportional

Past experience indicates that the standard deviation of the time it takes for a dentist to perform dental scaling for patients is 4 minutes. A researcher wishes to estimate the mean time to perform dental scaling with 95 percent confidence and a margin of error of ± 0.75 minutes. Given this, what must the sample size be? Round up your answer to the next whole number.

Answers

Answer:

n = 110

Step-by-step explanation:

Margin of Error :

Zcritical * s/ sqrt(n)

s = standard deviation = 4

Margin of Error = ±0.75

Zcritical at 95% level of confidence = 1.96

Margin of Error = Zcritical * s/ sqrt(n)

0.75 = 1.96 * 4 / sqrt(n)

0.75 = 7.84 / sqrt(n)

Take the square of both sides

0.5625 = 61.4656 / n

0.5625 * n = 61.4656

0.5625 = 61.4656

n = 61.4656 / 0.5625

n = 109.27217

About 110 samples

Mr. Dorsey and his family are going on a road trip for their family vacation. It will take them 300 total miles. After the first 3 days, they have driven 180 miles. What percent of the driving distance is left after the first 3 days?
Step 1 - How many miles do they have left to drive? ______________

Step 2 - Find the percent this is equal to.

____________ = ______________
100

giving brainly out

Answers

300-180=120 so there is 120 miles left
The percent of the journey is 60% so 40% left
Hoped this helped

Find the value of x in the triangle shown below.

Answers

I think it’s 55 lollll

Fernando and Maria are at opposite sides of a park. They plan to meet later at a fountain that is located somewhere between them. Maria will arrive at the fountain first, before Fernando even leaves his starting location. The ratio of Maria's starting location to the fountain to Fernando's starting place is 5:3. What is the location of the fountain? Round to the nearest tenth, if necessary. ( ,

Answers

Answer: the fountain is located at point (-1,-0.5)

Step-by-step explanation:

Answer: (-1 , -0.5)

Step-by-step explanation:

b. If x represents a number, does
•x always
represent 40% of that number? Explain your reasoning.

Submit

Answers

Answer:

no it doesn't as no is variable.

Which of the following is equivalent to the expression?

Answers

Answer:

I did not understand your question.

But the answer is 40.0625

Answer:

we add the powers to have 4-6 =-2

4 to power -2 which gives 0.0625

Sara is making a key chain using the bead design shown.

What fraction of the beads in her design are either red or blue?
pcagm15g560619

Answers

Answer is 11/15
This is the answer
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