A lake initially contains 1000 fish. Suppose that in the absence of predators or other causes of removal, the fish population increases by 10% each month. However, factoring in all causes, 80 fish are lost each month. Give a recurrence relation for the population of fish after n months. How many fish are there after 5 months? If your fish model predicts a non-integer number of fish, round down to the next lower integer

Q: A county referral hospital has a single Cuban doctor to take care of patients arriving for…

A: Given that patients arrive randomly at the rate of 0.25 patients per minute. Patients require…

Q: virus is that these cells die. In this study of the effectiveness of a new anti-viral drug on HIV,…

A: In this case, the baseline (x) is the independent variable, and the one year follow-up values (y) is…

Q: The graphs below give the diabetes mortality rate for countries with low per capita income and…

A: Given that,

Q: In a computer installation, 60% of programs are written in C++ and 40% in Java. 60% of the programs…

A: It is given that, in a computer installation, 60% of programs are written in C++ and 40% in Java.

Q: chickens. He records his harvest of eggs for 20 days. He finds that the average per day is 290 eggs…

A: Here use single sample t test

Q: The average lifetime of a certain new cell phone is 4 years. The manufacturer will replace any cell…

A: Given data The average lifetime of a certain new cell phone is 4 years. The manufacturer will…

Q: In sports, we expect top athletes to get better over time. We expect future athletes to run faster,…

A: Sol:- a. For samples of 100 free throw shots in college basketball, the sample proportion of free…

Q: Each day a machine is put in operation for five hours. Suppose that the number of hours of operation…

A: The number of hours of operation until failure of the machine follows Exponential with mean 4 hours.…

Q: In a company, a mechanic maintains four very important machines in a production process, which…

A: Let λ1 denotes the average of machine breaks down time. Let λ2 denotes the average of repairing…

Q: Viral Growth Medical scientists have studied 3hew types of viral infections, with three distinct…

A:

Q: Alice has two identical personal computers, which she never uses at the same time. She uses one PC…

A: Alice has two identical personal computers that she never uses at a same time.The time until either…

Q: In a hypothetical city, there is a population of 200,000 people.  During the year 2000, there were…

A: Given information: The total population is N = 200,000. It is given that all new cases of disease X…

Q: CD4 cells are carried in the blood as part of the human immune system. One of the effects of the HIV…

A: The data shows the 20 HIV-positive patients had their CD4 counts recorded and after using the drug…

Q: The first case of COVID-19 was confirmed in New York State on March 1, 2020. On March 9, Mayor Bill…

A:

Q: A particularly virulent form of human-adapted mad cow disease sweeps across the world transforming…

A: According to question given that A(t)=A0ektAt t=0, A(t)=15At t=10, A(t)=300we have to calculate the…

Q: Each year, 50% of the people from City A move to City B, and 30% of the people from City B move to…

A: We have to find the population of two cities after 2 years.

Q: In a hypothetical city, there is a population of 200,000 people.  During the year 2000, there were…

A: Given information- Population of the city = 200,000 Number of deaths from all causes = 1,000 New…

Q: If GE sells 330 ovens, how many ovens in total would they expect to provide a full or partial refund…

A: The lifespan of an oven made by General Electric (GE) has a mean life of 2.03 years, exponentially…

Q: There is a 40% chance that a customer will choose Diner A for takeouts and a probability of 60% that…

A: Baye's rule: Let A, B be two events and P(A|B) represent the conditional probability of A given B A…

Q: You want to see if the rat population is changing in New York City. You know the population count…

A:

Q: A certain natural park is said to support 4,000 native buffalos. Initial survey indicates that there…

A:

Q: A machine has three components but can remain functional if at least two are working. uppose that…

A: Statistics           Statistics deals with the collection of information, presentation,…

Q: During a professor's office hours, students arrive, on average, every ten minutes. Assume that the…

A: Given During a professor's office hours, students arrive, on average, every ten minutes. Assume that…

Q: a. Compute the probability that a randomly selected bulb will last less than 2,100 hours. b. Compute…

A: Let X be the failure time follows the exponential distribution.   X~Pois(1/2000) Mean=rate=2000 (a)…

Q: Personal care aide is an occupation that is growing quickly. Assume​ that, in a certain​ region,…

A: The number of personal care aids in 2024 is 195,686, which is a growth of 29% over 2014.Denote y as…

Q: A research study in a big metropolitan area shows that 2% of individuals living within the city…

A: Given information: It is given that, 2% of the individuals living within the city limits move to…

Q: A population of ants grows at a rate of 20% per year. If the initial population is estimated to be…

A:

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.