Exercise 9. Suppose that the lifespan (in years) of a water heater is modeled as Y - Expon(mean =8).(a) Given that the unit is working at 3 years, compute the chances it will fail in the next year.(b) Given that the unit is working at 18 years, compute the chances it will fail in the next year.(c) Comment on the reasonableness of this Exponential model.

Answered: Exercise 9. Suppose that the lifespan…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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10. The population of the state of Utah was recently estimated to be 3.1 million. Using information from the last Census, an exponential model for the population of the state of Utah is: Q = 3.1 (1 + .017) a) Use the model to predict the population of Utah in 20 years. b) Currently, the developed water resources in Utah can supply up to 4 million people. Comment on the validity of the population model.
1. World Wildlife fund (WFO) releases 25 Leopar... Start your trialnow! First week only $4.99! Want to se 1. World Wildlife fund (WFO) releases 25 Leopards into a game preserve in Kyrgyzstan. After 2 years, there are 39 leopards in the preserve. The WFO game preserve park in Kyrgyzstan has a carrying capacity of 200 panthers. a. Write a logistic equation that models the population of leopard in the preserve. b. Find the population after 5 years. When will the population reach 100? d. Write a logistic differential equation that models the growth rate of the leopard population. At what time is the leopard population growing most rapidly? Explain. C. e. Cookies and Personal Information This site uses cookies to improve performance, personalize your experience, analyze usage and assist our marketing efforts, but we don't sell your personal data as defined in the CA Consumer Privacy Act. To opt of the use of third-party targeting cookies, check "Do Not Sell My Personal Information" and then…
The number of cases within 3 days due to coronavirus is as follows: 21 May 2020: 961 New Case 22 May 2020: 952 New Case 23 May 2020: 1186 New Case 1a) Calculate the growth rate according to this information and express this variable as X = Aert. 2a) Using the answer 1a, Make a prediction for the previous and next day of the end date you use in your calculations.
Which of the following functions exhibits exponential decay? A (=) = (4)° fa (a) = 2" fa (2) = (-2)° fa (2) = 2-3
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4. A quantity of a radioactive element decays exponentially. On the 20th day of observation the amount of the radioactive element became twice smaller compare to the initial amount. On the 10th day of the observation the amount of the element was 50mg. Find: (i) the initial amount of the radioactive element; (ii) how many days is required in order initial one. have an amount that is ten times smaller than the
4.) (For Marketing & Sales Analysts-Consultants). Four months after the deliveries of goods were affected by the granular lockdown due to the Covid-19 pandemic, a manufacturer noticed that sales had dropped from 100,000 units per month to 80,000 units. If the sales follow an exponential pattern decline, what will they be after another 4 months? Note: Use the exponential model, y= Cekt, where t is measured in months.
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A study of Maryland's portion of Chesapeake Bay found the following information about stocks of market-sized oysters.† In 1994, the stocks were 218 million. (This is the number you will use for the initial population N(0).) The carrying capacity is 5089 million oysters. The intrinsic exponential growth rate is 0.274 per year. (a) Find a logistic model N(t) for the number, in millions, of market-sized oysters. Take t to be the time in years since 1994. (Rround all regression parameters to three decimal places.) N(t) = (b) Plot the graph of the model you found in part (a) over the first 20 years. (c) How many market-sized oysters does your model predict for 2007? Round your answer, in millions, to the nearest whole number. million oysters (d) The actual number of market-sized oysters was found to be 82 million. Use the Internet to find possible explanations for the reduced levels of oysters in Chesapeake Bay.
1. Suppose that the Apply Company has 1000 visitors to their new app in 2020 (year 0). If they have 4700 visitors to their app in 2022, write an exponential equation in the form y = ob which models the visitors to the app in year x. Does this function model. exponential growth or decay?
(1) Confirm that the data in Table 1.2 for the temperatures 25 °C and 45 °C can also be approximated by constant relative changes. Then find the exponentials that match the data.

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