A population has the following characteristics.(a) A total of 75% of the population survives the first year. Of that 75%, 25% survives the second year. The maximum life span is 3 years.(b) The average number of offspring for each member of the population is 3 the first year, 6 the second year, and 3 the third year.The population now consists of 176 members in each of the three age classes. How many members will there be in each age class in 1 year?0 ≤ age ≤ 11 ≤ age ≤ 22 ≤ age ≤ 3In 2 years?0 ≤ age ≤ 11's age ≤ 22 ≤ age ≤ 3Need Help?Read It

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Answered: A population has the following…

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 population has the following characteristics. (a) A total of 75% of the population survives the first year. Of that 75%, 25% survives the second year. The maximum life span is 3 years. (b) The average number of offspring for each member of the population is 2 the first year, 3 the second year, and 2 the third year. The population now consists of 192 members in each of the three age classes. How many members will there be in each age class in 1 year? 0 s age s 1 2112 1 s age < 2 48 2 s age < 3 144 In 2 years? 0 s age s 1 2112 1s age s 2 48 2 s age < 3 144
A professor determines a final grade based on attendance, two papers, three major tests, and a final exam. Each of these activities has a total of 100 possible points. However, the activities carry different weights. Attendance is worth 6%, each paper is worth 8%, each test is worth 19%, and the final is worth 21%. (a) What is the average for a student with 84 on attendance, 78 on the first paper, 89 on the second paper, 68 on test 1, 80 on test 2, 95 on test 3, and 81 on the final exam? (Enter your answer to one decimal place.) (b) Compute the average for a student with the above scores on the papers, tests, and final exam, but with a score of only 30 on attendance. (Enter your answer to one decimal place.) (c)A performance evaluation for new sales representatives at Office Automation Incorporated involves several ratings done on a scale of 1 to 10, with 10 the highest rating. The activities rated include new contacts, successful contacts, total contacts, dollar volume of sales, and…
Please do problem #1, and attached is Exercise 3. Thanks 1. Find bases in echelon form for the vector spaces with the sets of vectors as generators given in parts (a) to (d) of exercise 3.
Sarah believes that completely cutting caffeine out of a person's diet will allow him or her more restful sleep at night. In fact, she believes that, on average, adults will have more than two additional nights of restful sleep in a four-week period after removing caffeine from their diets. She randomly selects 8 adults to help her test this theory. Each person is asked to consume two caffeinated beverages per day for 28 days, and then cut back to no caffeinated beverages for the following 28 days. During each period, the participants record the numbers of nights of restful sleep that they had. The following table gives the results of the study. Test Sarah's claim at the 0.05 level of significance assuming that the population distribution of the paired differences is approximately normal. Let the period before removing caffeine be Population 1 and let the period after removing caffeine be Population 2. Numbers of Nights of Restful Sleep in a Four-Week Period With Caffeine 24 22 24 20…
You randomly recruit 23 students and tell each of them to come to the lab in two different mornings: each morning they will be offered some breakfast and will take a test. Each student will receive the light breakfast one time and the nutritious breakfast the other time (some will receive the light breakfast first, the others will receive the nutritious breakfast first, and the second time they switch). The average difference in a student’s score after eating the nutritious breakfast and their score after eating a light breakfast is 4.5, and the standard deviation of this difference is 3.6. (a) Construct a 95% confidence interval for the difference in the average score of students after having a nutritious breakfast and the average score of students after having a light breakfast.
five hundred forty-eight runners participated in a recent race. Twenty-six runners did not finish the race. Half of those who did finish completed the race in less than 2 hours. Which of the following is the number of runners who completed the race in less than 2 hours? a. 274 b. 248 c. 261 d. 522

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