In a M/M/1 model, the average number of customers in the system is 6, and the average waiting time in the queue is 33 minutes. Then, the average service time (in minutes) is 00.21212 05.5 00.18182 04.71429

Q: b) What are the three models proposed as extensions of the GARCH model? Describe their advantages…

A: the 3 models proposed as extensions of the GARCH  .Glosten, Jagannathan, and Runkle's .GJR-GARCH…

Q: b) Aqmal has been assigned to study the process of crystallizing tomato from tomato solution. An…

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Q: 3. Calculate the net reproductive rate in a population with 3.0 billion people (in year 1),…

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A: Let S be the amount of salt and t be the time. Tank A: The rate of salt entering the tank will be,…

Q: Consider the following tank-water system. Tank A holds 200 liters of water, initially pure. Brine…

A: The given data has been illustrated in the following figure,

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

A: The total number of people in the population is 200,000.

Q: A common inhabitant of human intestines is the bacterium Escherichia coli, named after the German…

A:

Q: A candy company wants to produce 25 kilograms of a special 35% fat content chocolate to conform with…

A: Given: A candy company wants to produce 25 kilograms of a special 35% fat content chocolate.To…

Q: Consider two interconnected tanks of brine solution. Assume that Tank Y contains 20 litres of water…

A: We are entitled to solve one question at a time and up to 3 sub-parts only. Please post other…

Q: A certain equipment has a MTBF of m= 300 hours. Assuming an exponential distribution of time to…

A: The answer is attached below,

Q: Use the basic equation for the capital asset pricing model (CAPM) to Find the risk-free rate for a…

A:

Q: Water is pumped from a tank at constant rate, and no more water enters the tank. If the tank…

A: Given: The amount of water at 3:56 PM is 10452 L and amount of water at 4:12 PM on same day  is 8092…

Q: Given is a historical time series for job services demand in the prior 6 months. Month Demand 1…

A:

Q: 7. Apply the Gauss-Seidel method to Exercise 3.

A: Consider the system of linear equations, 2x1-x2=2x1-3x2+x3=-2-x1+x2-3x3=-6 The objective is to solve…

Q: 2.18: When brought to the emergency room, an accident victim has 3 liters of blood and is still…

A: Let x(t) gltr be the amount of antibiotic drug.  rate in = 0.5 ltrhr0.5gltr=0.25ghrrate…

Q: The population of the world in 2015 was 9.75 billion people and was growing at a rate of 1.25% per…

A: Given problem:- The population of the world in 2015 was 9.75 billion people and was growing at a…

Q: The population of Coloradoin 2000 was approx. 3,700,000 With. an annualincrease of 2. Find…

A: Here the initial population of the colorado was 3,700,000 in the year 2000. Let t be the time in…

Q: For a whole life insurance of 1000 on (x) payable at the end of the year of death: (a) 9z = 0.045…

A: Given  qx=0.045    and   qx+1=0.062 v=0.92 Ax+2=0.4523

Q: The population of a certain country is known to increase at a rate proportional to the number of…

A: The general solution of a differential equation always contains a constant of integration. The…

Q: The city of Anville is currently home to 30000 people, and the population has been growing at a…

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Q: 2.3 Why is the Runge-Kuuta method more accurate compared to the Euler's

A: The Runge-Kutta method is more accurate because

Q: Prove that the logistic regression curve (5.1) has the steepest slope where 7 (x) = Generalize to…

A: Please upload whole question

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A: To determine the percent of susceptible that had been infected after 6 weeks.

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A:

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

A: Given information- Total population of the city = 200,000 Total number of deaths in the year 2000…

Q: Consider the following model for Malaysia from year 2009 to 2018. Y = 15.2689+0.8546 X, – 0.3259 X;…

A: Let Y: Consumption expenditure(RM) X1: Income(RM) X2: Wealth(RM) n=10 Since R2 value=0.9985 implies…

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Q: An engine health monitoring system consists of a primary unit and a standby unit. The MTTF of the…

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Q: Suppose a population P(t) satisfies dP dt = 8.3 P – 7.3 P2 P(0) = 0.1 What is the carrying capacity…

A: Given  P'(t) = 8.3 P - 7.3 P2 Carrying capacity is maximum of P(t)  So first we need to find…

Q: Two large tanks, each holding 24 liters of a brine solution, are interconnected by pipes as shown in…

A: Let x(t) and y(t) be the mass of salt in tanks T1 and T2 respectively. Fresh water follows into tank…

Q: A certain type of bacteria, given a favorable growth medium, doubles in population every 6.5 hours.…

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Q: City A has a current population of 500,00 people and grows at a rate of 3%/year. City B has a…

A: Given  City A :-  current population(P) is  500,00 people and growth rate (r) is 3% or 0.03  City B…

Q: When air expands adiabatically (without gaining or losing

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Q: A manufacturing company has been experimenting with a new additive that is used to reduce polluting…

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Q: Let kids denote the number of children ever born to a woman, and let educ denote years of education…

A: kidsi=β0+β1educi+ui where  kids= number of children born to a womaneduc= years of education

Q: In a factory there are 100 skilled, 250 semi-skilled and 150 unskilled workers. It has been observed…

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Q: The population of Mathlandia in 1995 was 23,473 and was projected to grow at a rate of 12% per…

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Q: Suppose the total money supply is $400bn, and the parameters r and c are the same as in question 3.…

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Q: Two tanks are connected as in Figure Q2b. Tank 1 initially contains 20 kilograms of salt dissolved…

A: Here we will use differential equation to solve this problem

Q: 2. The population of a city grows from a initial size of 1000,

A:

Q: How long will it take a population of bacteria to reach a certain size, given that we know its…

A: How long will it take a population of bacteria to reach a certain size, given that we know its…

Q: If a bus travelling at 25 m/s is subjected to a steady deceleration of 5 m/s?, how long will it take…

A: If a bus travelling at 25 m/s is subjected to a steady deceleration of 5 m/s2 .We have to find  how…

Q: ion of a city in 2000 was 900,000 while the at demographic studies show that each ye ile 3% of the…

A: Given,   City Suburbs of the city Population in the year 2000 900,000 400,000

Q: . Use the variation of parameters formula together with the exponential from part 3) to find the…

A: As per the question we have the following second order linear non-homogeneous differential equation…

Q: The population of a certain bacteria culture was 49,271 after 15 hours had elapsed. After another 22…

A: Given that the population of a certain bacteria culture was 49,271 after 15 hours had elapsed.After…

Q: A bank with a branch located in a commercial district of a city has the business objective of…

A: the mean and stansard deviation of a data is given byX¯=∑iXiN, where Xi is the observation in the…

Q: 11A The gross primary productivity of an ecosystem is 3.5 kgC/m2/year, and the energy needed by the…

A: Part(a): Given, Gross primary productivity =3.5 kgC/m2/year And energy needed for their own…

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.