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

how much does a bike with an acceleration of 2ms^-2 take to increase it's velocity from 10ms^-1 to 30ms^-1? help!! with explainations and show the work, if possible. thank you!​

Answers

Step-by-step explanation:

use the formula:

[tex]v = u + at[/tex]

v = 30 [final velocity]

u = 10 [initial velocity]

a = 2 [acceleration]

solve for t [time]

Your body mass index (BMI) is your weight in kilograms divided by the square of your height in meters. Many online BMI calculators allow you to enter weight in pounds and height in inches. High BMI is a common but controversial indicator of overweight or obesity. A study by the National Center for Health Statistics found that the BMI of American young men (ages 20 to 29) is approximately normal with mean 26.8 and standard deviation 5.2. People with BMI less than 18.5 are often classed as "underweight." What percent of young women are underweight by this criterion? Sketch and shade the area of interest under a Normal curve.

Answers

Answer:

5.5227%

Step-by-step explanation:

Z score formula = (x-μ)/σ

where x is the raw score = < 18.5

μ is the population mean = 26.8

σ is the population standard deviation = 5.2

For x < 18.5

z = 18.5 - 26.8/5.2

z = -1.59615

Probability value from Z-Table:

P(x<18.5) = 0.055227

Converting to percentage

= 0.055227 × 100

= 5.5227%

Therefore, the percentage of young women that are underweight by this criterion is 5.5227%

IF YOU AWNSER THIS QUESTION ILL GIVE YOU 1$

Write the equation of the line that is parallel to the line y=2x+1 that passes through the point (-3, -2).

Answers

Answer:

what i got was

y-1=2x-8¬y=2x-7

Please help! NO LINKS (Answer and explanation please :( )

Answers

Answer:

sum of angles in a quadrilateral is 360

Step-by-step explanation:

3x-15 +3x+15+y+30+D=360

hope that explanation helps

Which expressions are equivalent to 16^(3/2)?

Answers

Answer:

16^(3/2)=64

Step-by-step explanation:

Liz has 4 times as many points as Joey in a video game. Together they have fewer than 150 points. Which inequality can be used to determine the least number of points that Joey can have?

A. 4x+4<150
B. 4x+4≤ 100
C. 4x+x<150
D.4x+x≥150
I will select u as brilliant :)​

Answers

Answer:

C. 4x + x < 150

Step-by-step explanation:

x = Joey's points

4x = Liz's Points

together they have fewer than 150 points means the inequality is < 150

So the answer is:  4x + x < 150

Answer:

This may help you I think so

Please help please please ASAP please please help please

Answers

Answer:

true

Step-by-step explanation:

the total surface area of a solid is the sum of all faces both the bottom (base) and the top

Please help!
The kitten, weighing 3 pounds, is adopted. Which of the following statements is true about the distribution of the weight of the remaining cats? Select THREE that apply.
A. The mean of the weight distribution will increase
B. The standard deviation of the weight distribution will decrease
C. The median of the weight distribution will increase
D. The range of the weight distribution will decrease

Answers

Answer:

D

Step-by-step explanation:

I think so :)

Now this helps if correct!

max is a 22 year old planning to retire at age 67 he is i vesting in a mutual fund and hopes to earn the average inflation adjusted stock market return of 7% anually. If max deposits $200 per month into this fund, how much can he expect to have when he retires? Show work

Answers

Based on the calculation below, the amount Max can be expected to have when he retires is $758,518.94.

How to calculate the future value (FV)?

The amount he will be expected to have when he retires can be calculated using the formula for calculating the future value of an ordinary annuity as follows:

FV = D * (((1 + r)^n – 1) / r) ……………………………….. (1)

Where;

FV = Future value or the expected amount when he retires = ?

D = Monthly deposit = $200

r = monthly average inflation adjusted stock market return = 7% / 12 = 0.07 / 12 = 0.00583333333333333

n = number of months = (67 -  22) * 12 = 540

Substituting the values into equation (1), we have:

FV = $200 * (((1 + 0.00583333333333333)^540 – 1) / 0.00583333333333333)

FV = $758,518.94

Learn more about future value here: https://brainly.com/question/14586629.

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Is (9,5) a solution to this system of inequalities?
X + y > 14
7x + 13y > 15
yes
no

Answers

Answer:

yes it is..............

The school is trying to paint one side of the curved dividers as show below for the computer lab. The
can of paint is able to cover an area of 25ft?. Will this be enough paint? Select the best answer.

Answers

Answer:

Yes, because the area of one side of the divider is approximately 24ft^2

Answer:

yes 24 squared

Step-by-step explanation:

Math Nation

Help me pls I’ll mark you brainless

Answers

Answer:

b

Step-by-step explanation:

Answer:

1/6

Step-by-step explanation:

find the absolute value of -5 1/6

brainliest to right answer​

Answers

Answer:

The absolute value is 5 1/6

Step-by-step explanation:

The absolute value is how far away an answer is to zero so we just take away the negative for this question.


A shirt is on sale for 20% off its original price. If the shirt cost $40, how much will the shirt cost after the discount?
$8
$20

Answers

$8 because when you divide 40 by 5 you get 8 you could also divide 40 by 100 and then multiply it by 20 you get 8 as well. :)

A circular spinner is divided into 17 sectors of equal area. There are 6 red sectors, 6 blue, 3 yellow, and 2 green. Consider the experiment of spinning the spinner once. Find the probability
that the spinner lands on blue or green.
The probability that the spinner lands on blue or green is

Answers

Answer:

8/17 or 47% or .47

Step-by-step explanation:

8 of them are blue or green and there are 17 total. So 8 out of 17 (8/17) are likely to be spun

The required probability is 8/17 that the spinner lands on blue or green.

What is probability?

Probability is defined as the possibility of an event being equal to the ratio of the number of favorable outcomes and the total number of outcomes.

Given that the circular spinner is split into 17 equal-sized sections. There are six red sectors, six blue sectors, three yellow sectors, and two green sectors.

The total number of outcomes. = 6 + 6 + 3 + 2

So n(S) = 17

Number of favorable outcomes i.e. (blue+green), n(E) = 6 + 2 = 8

Consider the experiment of once spinning the spinner.

The probability of the spinner landing on blue or green will be

⇒ P(E) = n(E)/n(S)

⇒ P(E) = 8/17

Therefore, the required probability is 8/17 that the spinner lands on blue or green.

Learn more about the probability here:

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It cost 5.50 for parking, plus an additional $8 for each concert ticket purchased. If joe starts off with a 50 dollar bill and buys 3 concert tickets and a 10$ T-shirt, how much money will he have left? PLEASE HELP

Answers

Answer:

$10.50

Step-by-step explanation:

50-[5.50+8(3)+10] =

50-39.50=

10.50

Answer:

$6.00

first multiply eight and three then add the two things joe bougth. then the answer minus 50

2t + t =68
a. find t
b. fint 2t​

Answers

Answer:

t = 22[tex]\frac{2}{3}[/tex]

2t = 45[tex]\frac{1}{3}[/tex]

Step-by-step explanation:

3t = 68

t = 68/3

tomen puntos y doy corona al primero que comente hola

Answers

Answer:

hewo nice to meet ya

Step-by-step explanation:

hi hello

Answer:

Hola!

*Spanish*

Gracias por los puntos!

A medical researcher wants to determine whether a drug changes the body's temperature. Seven test subjects are randomly selected, and the body temperature (in degrees Fahrenheit) of each is measured. The subjects are then given the drug and after 20 minutes, the body temperature of each is measured again. The results are listed below. At α=0.05, is there enough evidence to conclude that the drug reduces the body's temperature? Subject 1 2 3 4 5 6 7 Initial Temperature 103.4 102.5 101.1 103.4 102.9 100.2 100.9 Second temperature 99.2 98.4 98.2 99 98.6 99.7 97.8

Answers

Answer:

Step-by-step explanation:

What’s the answer to this question ?

Answers

Step-by-step explanation:

112=35+d

112-35=d

d=77

hope it helps u

subtract 35 from both sides and d= 77

Fill in the boxes to make a true statement. (_-3i)-(15+_i)=7-12i

Answers

Answer:

blank space=[tex]\frac{31}{2}[/tex]+[tex]\frac{13i}{2}[/tex]

The empty boxes which make the equation true are (22 -3i) - (15 + 9i)

= 7 - 12i.

What are complex numbers?

As the name suggests it is a combination of real numbers and imaginary numbers.

A complex number (a + ib) where a is the real part and b is the imaginary part.

'i' here is called iota and i = √-1, i² = - 1, i³ = - i and i⁴ = 1.

Given,  (_ -3i) - (15+_i) = 7 - 12i.

Assuming the real number to be 'a' and the imaginary number to be 'b'.

∴ (a - 3i) - (15 + bi) = 7 - 12i.

a - 3i - 15 - bi = 7 - 12i.

On comparing the real and imaginary parts we get,

a - 15 = 7.

a = 22,

- 3i - bi = - 12i.

- bi = - 9i.

b = 9.

learn more about complex numbers here :

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Blackcap birds (Sylvia atricapilla) migrate out of Germany before wintertime. Prior to the 1960s, all members of a particular blackcap population flew to Spain, which had an abundant natural food source. Now, some members of the same blackcap population fly to the United Kingdom, where food placed in feeders by humans is abundant. The blackcaps return to the same forests in Germany to nest during the breeding season.
Some blackcaps that migrate to the United Kingdom have become distinguishable by certain physical and behavioral traits from blackcaps that migrate to Spain. Which of the following best predicts the effect on the blackcap population if humans in the United Kingdom continue to place food in feeders during the winter?
A- The blackcaps that migrate to Spain will selectively mate with the blackcaps that migrate to the United Kingdom, resulting in increased genetic variation in the blackcap population.
B- The blackcaps that migrate to the United Kingdom will become reproductively isolated from the blackcaps that migrate to Spain, resulting in speciation in the blackcap population.
C- The blackcaps in Spain and the United Kingdom will migrate to other geographical locations in search of potential mating partners, resulting in a smaller blackcap population in Germany.
D- The blackcaps will begin nesting at their wintering sites in Spain or the United Kingdom, resulting in a larger blackcap population migrating back to Germany after the breeding season has ended.

Answers

Answer:

D- The blackcaps will begin nesting at their wintering sites in Spain or the United Kingdom, resulting in a larger blackcap population migrating back to Germany after the breeding season has ended.

Step-by-step explanation:

By the inhabitants of Spain and the United Kingdom placing feeders out for the blackcaps, the birds in their nesting sites during the winter will have food to eat, meaning a bigger population of the Blackcaps when they return to their main home in Germany.

This best predicts the effect on the blackcap population if humans in the United Kingdom continue to place food in feeders during the winter.

Scarlet made a scaled copy of the following quadrilateral. She used a scale factor greater than 1. What could be the length of the side that corresponds with AD on the scaled copy of quadrilateral.​

Answers

Answer:

10 or any number >9

Step-by-step explanation:

Side AD is 9 units long so if the scale factor is greater than 1 you multiply that side by 1.  This will give you a number such as 10 or 18 or any number that is greater than 9.

What is the slope of the line 1/7

Answers

Answer:

3/4

Step-by-step explanation:

Well its a incomplete Question but i am solving a realted type Question .

• Find the slope of the line -3x - 4y = 12 :-

Ans ) The given equation can be converted into Slope intercept form , which is y = mx + c , where ,

m is slope c is y Intercept

⇒ -3x -4y = 12

⇒ -4y = 12 +3x

⇒ y = 3x + 12 /4

⇒ y = 3/4x + 12/3

y = ¾x + 4

Comparing to Standard Form

⇒ m = ¾

⇒ c = 4

Hence the slope of the line is 3/4.

What is the answer please help no links please no links please no

Answers

I think it’s second one
Hope that helped XD

Ms. Chang has 16 students in her class. She wants to send 3 of her students to pick up books for the class. How many combinations of students can she choose?

Answers

16-3=13 answer combinations of student


help pls pls pls シ

And thanks!

Answers

Answer:

the answer the 10.25 u move both decimals over and move it up to the top and divide like normal

Directions: Type your answer in the box below without using the ($) symbol.

Wesley had $792.38 in his checking account. He made the following transactions:
• He bought groceries at Food Lion using his debit card for $58.62.
• He received $50.00 for his birthday and deposited the money into his checking account.
• He made a withdrawal at the ATM from his checking account in the amount of $120.00. • He purchased a pair of shoes from the mall using his debit card in the amount of $64.98.
What was the final balance in his checking account after these transactions? ​

Answers

Answer:

Wesley's final balance in his checking account after these transactions is $598.78.

Step-by-step explanation:

792.38 - 58.62 + 50 - 120 - 64.98 = 598.78

The scores on a test are normally distributed with a mean of 130 and a standard deviation of 26. What is the score that is 25 standard deviations below the mean?

Answers

Answer: The z-score for an ACT score of 26 is 0.17.

Step-by-step explanation:

Z-score:

In a set with mean  and standard deviation , the zscore of a measure X is given by:

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

In a particular year, the mean score on the ACT test was 25 and the standard deviation was 5.9.

This means that  

Find the z-score for an ACT score of 26.

This is Z when X = 26. So

The z-score for an ACT score of 26 is 0.17.

The z-score for an ACT score of 26 is 0.17.

What is z-score?

When assessed in terms of standard deviation units, a raw score's location in relation to its distance from the mean is indicated by a z-score. If a value is above the mean, the z-score is positive; if it is below the mean, it is negative.

In a set with mean  and standard deviation , the z-score of a measure X is given by: z-score=(x-μ)/σ

How do you find z-score?

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

In a particular year, the mean score on the ACT test was 25 and the standard deviation was 5.9.

This means that  

We need to find z-score for an ACT score of 26.

This is Z when X = 26. So

The z-score for an ACT score of 26 is 0.17

Learn more about z-score,

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The area of a rectangle is 42 square meters. The length is 7 meters. What is the width?

Answers

The correct answer is 6
The answer has to be six
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