Start with a pair (male and female) of newly-born rabbits. Assume the following:i) it takes exactly one month for the rabbits to mature, and able to mate by then;ii) the gestation period for a female rabbit is exactly one month;iii) upon reaching maturity, a female rabbit is able to produce a pair (male and female) every month; andiv) female rabbits do not die and are biologically reproductive during their entire life;Howmany pairs of rabbits are present seven (7) months after?21138OOO7

We have to find how many pairs of rabbits are present after 7 months.

Answered: Start with a pair (male and female) of…

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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A clinical test on humans of a new drug is normally done in three phases. Phase I is conducted with a relatively small number of healthy volunteers. For example, a phase I test of a specific drug involved only 88 subjects. Assume that we want to treat 88 healthy humans with this new drug and we have 1212 suitable volunteers available. Complete parts (a) through (c) below. a. If the subjects are selected and treated in sequence, so that the trial is discontinued if anyone displays adverse effects, how many different sequential arrangements are possible if 88 people are selected from the 1212 that are available? Choose the correct answer below. A. 19 comma 958 comma 40019,958,400 B. 40 comma 32040,320 C. 479 comma 001 comma 600479,001,600 D. 495495 b. If 88 subjects are selected from the 1212 that are available, and the 88 selected subjects are all treated at the same time, how many different treatment groups are possible? There are…
Each American family is classified as living in an urban, suburban or rural location. During a given year, 15% of all urban families move to a suburban location, and 5% move to a rural location; also, 6% of all suburban families move to an urban location, and 4% move to a rural location; finally, 4% of all rural families move to an urban location, and 6% move to a suburban location. a.If a family now lives in an urban location, what is the probability that it will live in an urban area two years from now? b. If a family now lives in an urban location, what is the probability that it will live in a suburban area two years from now? c. If a family now lives in an urban location, what is the probability that it will live in a rural area two years from now? d. Find the steady-state probabilities.
In a certain class of 25 students, 12% received A’s, 30% received B’s, 42% received C’s, and 12% received D’s. How many students failed the class?
Each American family is classified as living in an urban, rural, or suburban location. During a given year, 15% of all urban families move to a suburban location, and 5% move to a rural location; also, 6% of all suburban families move to an urban location, and 4% move to a rural location; finally, 4% of all rural families move to an urban location, and 6% move to a suburban location. a If a family now lives in an urban location, what is the probability that it will live in an urban area two years from now? A suburban area? A rural area? b Suppose that at present, 40% of all families live in an urban area, 35% live in a suburban area, and 25% live in a rural area. Two years from now, what percent- of American families will live in an urban area? c What problems might occur if this model were used to predict the future population distribution of the United States? age
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Exercises 351 5. A mathematics placement test is given to all entering freshmen at a small college. A student who receives a grade below 35 is denied admission to the regular mathematics course and placed in a remedial class. The placement test scores and the final grades for 20 students who took the regular course were recorded as follows: Placement Test Course Grade Placement Test Course Grade 50 53 90 54 35 41 80 91 35 61 60 48 40 56 60 71 35 CISCAN 55 68 60 71 65 36 40 47 35 11 55 53 60 70 90 59 5350 68 65 57 79
The manufacturer of a certain engine treatment claims that if you add their product to your engine, it will be protected from excessive wear. An infomercial claims that a woman drove 6 hours without oil, thanks to the engine treatment. A magazine tested engines in which they added the treatment to the motor oil, ran the engines, drained the oil, and then determined the time until the engines seized. Complete parts (a) and (b) below. ..... (a) Determine the null and alternative hypotheses that the magazine will test. Но: 6.
Twenty automobiles enter a race. Eight are made by manufacturer A, seven by manufacturer B, and the rest by manufacturer C. Keeping track of only the manufacturer of the cars, in how many ways can the cars cross the finish line?
A car rental agency in a major city has a total of 4600 cars that it rents from three locations: Metropolis Airport, downtown, and the smaller City Airport. Some weekly rental and return patterns are shown in the table (note that Airport means Metropolis Airport). Returned to AP DT CA 90% 10% 10% Airport (AP) Downtown (DT) 5% 80% 5% Rented from At the beginning of a week, how many cars should be at each location so that the same number of cars will be there at the end of the week (and hence at the start of the next week)? AP DT CA Need Help? cars cars cars Read It Watch t Talk to a Tutor

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