Suppose that each year, 80% of residents living in state A stay in state A, while 20% of them move to state B. Also, 70% of the residents living in state B stay in state B, while 30% of them move to state A. Further, assume at t = 0 years, there are 2 million residents living in state A and 5 million residents living in state B, and let xn and y, represent the populations (in millions) of the states A and B, respectively, at timet = n years. Given that Xn = p+q(r)", find the value of the number p.

Suppose that each year, 80% of residents living in state A stay in state A, while 20% of them move to state B. Also, 70% of the residents living in state B stay in state B, while 30% of them move to state A. Further, assume at t = 0 years, there are 2 million residents living in state A and 5 million residents living in state B, and let xn and y, represent the populations (in millions) of the states A and B, respectively, at timet = n years. Given that Xn = p+q(r)", find the value of the number p.

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

See similar textbooks

Related questions

Q: A certain market has both an express checkout line and a super express checkout line. Let X1 denote…

A: a) In this case, X1 take values, 0, 1, 2, 3, and 4 and X2 take values 0, 1, 2, and 3.

Q: 2: Let A = Compute A2021

Q: Let A =000 Compute JCF(A).

Q: mathematical books

A: Note: Here we are writing about the mathematical book from 500 BC- 100 AD this period only. For…

Q: Find the line that best fit the data 2 [8] [8] [3]- "

Q: An electronics store has received a shipment of 30 table radios that have connections for an iPod or…

A: Part (a): Identifying the DistributionProblem Statement: You need to identify the type of…

Q: 10 Let a₁ = , a₂ = a35 , and b = Determine whether b can be written as a linear combination of a₁,…

Q: A survey of 200 shoppers was conducted to investigate how often people buy wine at a certain…

A: Introduction - Probability distribution of binomial distribution is given by Px=nxpxqn-xwhere , P…

Q: The Math coordinator at Houston Community College collected the following data from first and second…

A: Hi! Thank you for the question. As you have correctly solved the first two subparts of the problem,…

Q: A botanist wants to determine if a fertilizer is effective in Which of the following is a valid…

A: 100 Same type of seeding were randomly selected and assigns them to two groups. One group receives…

Q: 1. A machine can be in one of four states: 'running smoothly' (state 1), 'running but needs…

A: Let the states of the given Markov chain areState 1: Running smoothlyState 2: Running but needs…

Q: 6. A researcher examines the short-term effects of a single treatment with acupuncture on cigarette…

A: The dependent variable is the outcome variable, which is affected by the independent variables.

Q: white and three black balls are distributed in two urns in such a way that each urn s three balls.…

A: *Answer: There are 3 white balls and 3 black balls, which are distributed in two urns such that…

Q: Suppose a special type of small data processing firm is so specialized that some have difficulty…

A: Given f(y)=ky4(1-y)3 0<y<1

Q: Four white and four black balls are distributed in two urns in such a way that each contains four…

A: From the given information, There are 4 white and 4 black balls are distributed in two urns in such…

Q: Find the interpolating polynomial y = ax² + bx+c that passes through all three of the following data…

A: Given: The points are 1,13, 2,15 and 3,19. To find: The interpolating polynomial y=ax2+bx+c. All the…

Concept explainers

Differential Equations

Have you ever observed the movement of the satellites and rockets or how the planets go around the sun in their orbits? How will you determine their motion? Definitely they follow some scientific laws and these kinds of problems are framed as differential equations.

Question

Suppose that each year, 80% of residents living in state A stay in state A, while 20% of them
move to state B. Also, 70% of the residents living in state B stay in state B, while 30% of
them move to state A. Further, assume at t = 0 years, there are 2 million residents living in
state A and 5 million residents living in state B, and let æn and yn represent the populations (in
millions) of the states A and B, respectively, at time t = n years. Given that
Xn = p+q(r)",
find the value of the number p .

Expert Solution

This question has been solved!

Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.

This is a popular solution!

SEE SOLUTION Check out a sample Q&A here

Step 1

Step 2

Step 3

Step 4

Trending now

This is a popular solution!

Step by step

Solved in 4 steps with 4 images

SEE SOLUTION Check out a sample Q&A here

Knowledge Booster

$Differential Equation$

Learn more about

Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, advanced-math and related others by exploring similar questions and additional content below.

Similar questions

3. Suppose that the populations of two species interact according to the relationships below. Let S be snakes and R rabbits. 1 Rk+1 = =Rk+ - Sk 2 Sk+1= -Rk + 2SK == What would the populations of both snakes and rabbits be after 10 iterations?
2) Can i get help with this question
An electronics store has received a shipment of 30 table radios that have connections for an iPod or iPhone. Twelve of these have two slots (so they can accommodate both devices), and the other eighteen have a single slot. Suppose that six of the 30 radios are randomly selected to be stored under a shelf where the radios are displayed, and the remaining ones are placed in a storeroom. Let X = the number among the radios stored under the display shelf that have two slots. (a) What kind of distribution does X have (name and values of all parameters)? binomial with n = 12, x = 6, and p = 6/12 binomial with n = 30, x = 12, and p = 6/30 hypergeometric with N = 30, M = 12, and n = 6 O hypergeometric with N = 12, M6, and n = 12 (b) Compute P(X = 2), P(X ≤ 2), and P(X ≥ 2). (Round your answers to four decimal places.) P(X = 2) = P(X ≤2) - P(X ≥ 2) × (c) Calculate the mean value and standard deviation of X. (Round your standard deviation to two decimal places.) mean value standard deviation…
A certain company produces fidget spinners with ball bearings made of either plastic or metal. Under standard testing conditions, fidget spinners from this company with plastic bearings spin for an average of 2.7 minutes, while those from this company with metal bearings spin for an average of 4.2 minutes. A random sample of three fidget spinners with plastic bearings is selected from company stock, and each is spun one time under the same standard conditions; let x¯1x¯1 represent the average spinning time for these three spinners. A random sample of seven fidget spinners with metal bearings is selected from company stock, and each is likewise spun one time under standard conditions; let x¯2x¯2 represent the average spinning time for these seven spinners. What is the mean μ(x¯1−x¯2)μ(x¯1−x¯2) of the sampling distribution of the difference in sample means x¯1−x¯2x¯1−x¯2 ? 3(2.7)−7(4.2)=−21.33(2.7)−7(4.2)=−21.3 A 3−7=−43−7=−4 B 2.7−4.2=−1.52.7−4.2=−1.5 C…