Consider a species of elk that can be split into 4 age groupings: those aged 0-1 years, those aged 1-2 years, and those aged 2-3 years, andthose aged 3-4 years. The population is observed once a year. Given that the Leslie matrix is equal to01.1 1.71.30.8 000L =00.6000 00.20and the initial population distribution is 40 of the first age group, 17 of the second age group, 10 of the third group, and 5 of the oldest age group,answer the following questions.The initial population vector is xo=How many elk aged 1-2 years are there expected to be after 10 years?How many elk aged 0-1 years are there expected to be after 20 years?How many elk are there expected to be after 30 years?Calculate the dominant eigenvalue of the Leslie matrix good to 3 decimal places. 11=What is the long-term growth rate of this population of elk as a percent? growth rate =over/under 100%.)Are the elk thriving, static, or going extinct? ?(The growth rate is the percentage of growth

To find the long-term growth rate of the elk population as a percentage, we use the dominant…

Answered: Consider a species of elk that can be…

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 Leslie matrix is given below with the usual age groups, 0 year old (0-1), 1 year olds (1-2), etc. 0 2.5 07 0.6 0 Lo 0.4% Compute the population in years 1 and year 2 when the initial population has 100 newborns, 60 one-year- olds and 40 two-year-olds. X₁ =
A chi-square test for independence produces a chi-square statistic with df = 2. The data for this research study form a 2×2 matrix with four separate categories. a True b False
2
A university admissions committee anticipates an enrollment of 8000 students in its freshman class next year. To satisfy admission quotas, incoming students have been categorized according to their sex and place of residence. The number of students in each category is given by the matrix A. Male Female In-state 2700 2800 A = Out-of-state 900 800 Foreign 400 400 By using data accumulated in previous years, the admissions committee has determined that these students will elect to enter the College of Letters and Science, the College of Fine Arts, the School of Business Administration, and the School of Engineering according to the percentages that appear in the following matrix. AB = B = Male L. & S. Fine Arts Bus. Ad. Eng. 0.25 0.20 0.30 0.25 Female 0.30 0.35 0.25 0.10 Find the matrix AB that shows the number of in-state, out-of-state, and foreign students expected to enter each discipline. ↑
Question 1. JoJo Mobile sells data plans for cellphones. They sell Individual Plans as well as Family Plans. Market analysts at JoJo Mobile have noticed that customers tend to switch between the two plans each year. . Among the customers with an individual plan, 30% switch to a family plan the next year. . Among the customers with a family plan, 20% switch to an individual plan in the next year. This information can be encoded into a 2 x 2 matrix, as follows: [0.7 0.2] [0.3 (a) Compute the vector P-¹ (b) The vector P³ 3 740 650 400 600 P = 0.3 0.8 and give a physical interpretation of what this vector represents. and give a physical interpretation of what this vector represents. (c) An eigenvector for P with eigenvalue λ = 1, and give a physical interpretation of what this vector represents. (d) An eigenvector for P with eigenvalue > < 1. Explain why the eigenvector does not have a physical interpretation.
6 1 is similar to the matrix B= The matrix A= 70 %3D 34 0 3 Select one: O True False OS Shot by Hisense H12
4. Verify whether the two given matrices are similar. Justify your an- Swers Question a. 1 1 3 and B = 1 A 0 4 2 2 Question b. 1 1 2 1 0 0 21 and B = -1 2 1 %3D 0 0 2 0 1 2
When the data from a research study form a 2×2 matrix, the phi-coefficient is used to measure effect size for the chi-square test for independence. If other factors are held constant, how does sample size influence the values for the phi coefficient and chi-square? a. A larger sample increases the phi coefficient but has no effect on the chi-square value. b. A larger sample size does not influence the phi coefficient or chi-square value. c. A larger sample increases the chi-square value but has no effect on the phi coefficient. d. A larger sample increases both the phi coefficient and chi-square value.
Given the Leslie matrix below, what is the population size after 2 timesteps given the starting population size of J= 10, T=10, A=100? Round to nearest whole number. J T A J 0.5 0.5 3.0 T 0.2 0 A O 0.2 0 O a. J=162; T=62; A=1 O b. J=10; T=10; A=100 O c. J=200; T=25; A=5 O d. J=310; T=2; A=3
A university admissions committee anticipates an enrollment of 8000 students in its freshman class next year. To satisfy admission quotas, incoming students have been categorized according to their sex and place of residence. The number of students in each category is given by the matrix A. Male Female In-state 2500 2800 600 500 900 700 A = Out-of-state Foreign By using data accumulated in previous years, the admissions committee has determined that these students will elect to enter the College of Letters and Science, the College of Fine Arts, the School of Business Administration, and the School of Engineering according to the percentages that appear in the following matrix. L. & S. Fine Arts Bus. Ad. Eng. B = Male 0.25 0.20 0.30 0.25 0.30 0.35 0.25 0.10 Female Find the matrix AB that shows the number of in-state, out-of-state, and foreign students…
Please answer part 3 of this question. In desperate need of help
2. Find the SVD of the following matrix: A = (Remember to show all the steps.) 3 2 2 23 3

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