4

MAT 117- Prohen Ser $ - Linle -Crow HmceOblecehves .Dutku You work with ethet students throueh thc Fobltrns pescd to bal - &PT undkntrdng of thc cunicn You Iay ...

Question

MAT 117- Prohen Ser $ - Linle -Crow HmceOblecehves .Dutku You work with ethet students throueh thc Fobltrns pescd to bal - &PT undkntrdng of thc cunicn You Iay ptotidr your Wotk and ansmc amwc shart Tbex #ih & hetpful in prcpunng fot Itc Exm containt Icu Objcctivcs Please provide cvidence of Jol thinking ponres mnd the mental stcps you Inaln Amtn the uwcr You muyalo povide AmMeAnamen nodcbual pIprt and uploxd > pUi Piente G04vr cxdoncntu Equliont Redort Youi Wnswct} trachiont Intee

MAT 117- Prohen Ser $ - Linle -Crow Hmce Oblecehves . Dutku You work with ethet students throueh thc Fobltrns pescd to bal - &PT undkntrdng of thc cunicn You Iay ptotidr your Wotk and ansmc amwc shart Tbex #ih & hetpful in prcpunng fot Itc Exm containt Icu Objcctivcs Please provide cvidence of Jol thinking ponres mnd the mental stcps you Inaln Amtn the uwcr You muyalo povide AmMeAnamen nodcbual pIprt and uploxd > pUi Piente G04vr cxdoncntu Equliont Redort Youi Wnswct} trachiont Inteeett [3 pes] 25*1+1 3125 (3 pee] i= 8"*1 population growth Gilbcn AZ can modeled by tht funttion Ft)-65455201 #herc I the population and [ I5 the number ol ycars since 1980 [pu] What @ tne Fowth miedlot P(t) (1 pr] What was the population 1980? [9pat] Find P(H) end explain what mcan contert 0l thc problan [3 pee] What i thc prolected population ol Gilbett 20197 Annt {pecils #qUJIIc insect Mas duscoveredm [ne Amjron {intorest pidlett tht {Prlies , envttonmentalists declared the inscct cndangcred and trunsplanicdthc inscctto protected 30* The populston = (in tnourand: Jol S0l-do5t Inaccrin monthsMltcr Detne {Nntolnico P() 4ul pee] Dterminc thc numbe 0l month} untilthc inecct poouljton reclez 40 thoutind [pts) What i$ the imiting (actor on the Inscct populatton = prorre1ses? Lxpljin YoU Jnswet [3 pis] Stctch eraph thc function usine the window 05+5700 jnd 02} 2300 Be surc t0 Indiate the scalc on the Ftjpn, Ueat point Amanax~mniott



Answers

To analyze population dynamics of the northern spotted owl, mathematical ecologists divided the female owl population into three categories: juvenile (up to 1 year old), subadult (1 to 2 years old), and adult (over 2 years old). They concluded that the change in the makeup of the northern spotted owl population in successive years could be described by the following matrix equation. $$\left[\begin{array}{c} j_{n+1} \\ s_{n+1} \\ a_{n+1} \end{array}\right]=\left[\begin{array}{rrr} 0 & 0 & 0.33 \\ 0.18 & 0 & 0 \\ 0 & 0.71 & 0.94 \end{array}\right]\left[\begin{array}{c} j_{n} \\ s_{n} \\ a_{n} \end{array}\right]$$ The numbers in the column matrices give the numbers of females in the three age groups after $n$ years and $n+1$ years. Multiplying the matrices yields the following. $$\begin{aligned} &j_{n+1}=0.33 a_{n}\\ &s_{n+1}=0.18 j_{n}\\ &a_{n+1}=0.71 s_{n}+0.94 a_{n} \end{aligned}$$ (Source: Lamberson, R. H., R. McKelvey, B. R. Noon, and C. Voss, "A Dynamic Analysis of Northern Spotted Owl Viability in a Fragmented Forest Landscape," Conservation Biology, Vol. $6, \text { No. } 4 .)$ (a) Suppose there are currently 3000 female northern spotted owls: 690 juveniles, 210 subadults, and 2100 adults. Use the preceding matrix equation to determine the total number of female owls for each of the next 5 years. (b) Using advanced techniques from linear algebra, we can show that, in the long run, $$ \left[\begin{array}{c} j_{n+1} \\ s_{n+1} \\ a_{n+1} \end{array}\right]=0.98359\left[\begin{array}{c} j_{n} \\ s_{n} \\ a_{n} \end{array}\right] $$ What can we conclude about the long-term fate of the northern spotted owl? (c) In this model, the main impediment to the survival of the northern spotted owl is the number 0.18 in the second row of the $3 \times 3$ matrix. This number is low for two reasons: The first year of life is precarious for most animals living in the wild, and juvenile owls must eventually leave the nest and establish their own territory. If much of the forest near their original home has been cleared, then they are vulnerable to predators while searching for a new home. Suppose that, due to better forest management, the number 0.18 can be increased to $0.3 .$ Rework part (a) under this new assumption.

For this problem. We have been given a matrix that shows how the population of northern spotted owls is changing year by year. And we're watching three different subgroups of female owls juveniles, sub adults, which are 1 to 2 years old and then full adults two years and older. And we're looking at this. The Matrix A that I have here shows the percentages, um, that we need to use in order to find our population. So if I have Matrix B, that shows how many female owls in each of those three subgroups 900 juveniles, 500 sub adults, 2600 adults if I multiply a Times B, that shows me the number off owls in each of those subsections the following year. So after one year I go from my population has given to this new population, and I want to take a look at for each of the next five years. So let's go five years out. This is your one now for year two. I'll take this new matrix that we have and multiply it by a so I'll have a times what we just found a times B. So this is after year one after year, too. What about your three? Well, I'm going to take my Matrix A and then multiplied by this result that I just got so for years, three. I will get these numbers. Your one year, two year three. How about your four A. B and year five. Great five. Okay, now, let's just take a look at what we have here now. We started with 900 juveniles. Now we had a little bit of a dip, and then it increased. So this is not perfectly steady moving in one direction. But as we go on, those numbers do seem to be declining. What about our sub adults? What looks like we must have had a very large population of sub adults because it went down rapidly that first year and then kind of stabilized a little, but definitely stabilized lower. And how about our adults and went up a little bit again. We had a large group of sub adults, but now it is going back down again, and we are. So we went up really high, and it's starting to decline. In fact, we've been told that our, um the overall um Matrix so we can use to find long term growth of this population. If I want to find the end plus one year of juveniles, sub adults and adults, I'm going to take the current numbers that we have. And I'm gonna multiply that by 0.9835 n. Well, that number is less than one. So overall, every year that I check these populations I'm expecting from one year to the next to go down, not by a lot. You know, one would make a stable population the same number from one year to the next. It was bigger than one. Our population would be growing. But this means that my spotted our population is in decline. This is less than one. Well, what if we take a look at our original graph? I'm gonna come back up here and look at a so that's 0.18 number there in that second row first column that says that Onley 18% of juveniles become sub adults. The rest of them don't make it past that first year. Yeah, What could cause that number? Well, maybe it's the habitat. There isn't. Ah, good habitat for the babies. to grow in. Maybe the population of predator versus prey is a little bit out of whack. Maybe there are too many animals that eat small birds that that's causing a problem here. Maybe dogs or cats that are on the loose or foxes or something that might damage these babies. Maybe there's simply not enough food for them to, uh, go from egg to mature adults. Maybe there's something in the environment that's making them sick. We don't know, but there's a lot of things that could cause that problem. What would happen, though, if we targeted that number that we put the management habitat management in place may be reduced pollution. Um, took a look at the environment and try to make some changes, and we could increase that from 18% of 40%. What would that change? Will now take a look What happens to my numbers? Well, I start with 900 juveniles, and again, it's a little bit of a dip, But look at those numbers. 9 23 9 52 till your five. I'm over 1000 juveniles sub adults again, there's a small gap. I think there were more sub adults than usual in this first year. But now, once it kind of stabilizes, those numbers are increasing. And what about my adults? 27 99 28 87? I'm over 3100 by the end of this five year period. In fact, if I add up all of the birds at the end of my five year period, I have 1004 juveniles, 390 sub adults and 3130 adults. So I have gone from a population of 4000 at the beginning of my study, up to 4524. And that's with the 40% if I had added up those same numbers back when it was only 18%. The some of those numbers after five years was 3639 a decrease rather than increase. So that number is very important to the population of this spotted owl. Getting that number increased from 18 to 40 will make a huge impact on the overall health and well being of the spotted owl population

Okay, so your question that yell jails juvenile population as it's a bottle and a is that a population off number off our found? Okay. And this is represented by a metrics where this is plus one year and this is the current here on this metric represent the weight ege off each type age off here. If you simplify, this will be multiply these metrics with this, we get the juvenile population at one year after his 10.33 times the adult population at that time then similarly, Sabadell population one year after its 10.1 times the general population at that time and adult population one year after is 71% off Severin population in 94% off every population. Okay, so this is what the data is given. Now what we have to assume suppose currently that is, at present, state, we have total 3000 polls out of that. Sorry. This is 6 19 juveniles and to 10 substance and 202,100 address. We need to use metrics to find total all population each year for five years. Okay. And let's take another question. So this is what we can approximate these using advance method. And from that we have to identify what will happen eventually to else eventually two old right. So this is what we need to find from this. And she's asking for if this point wanted here, which is multiplied with juvenile. So that is we're very small value and not represented. General population or face is very important for increment in our population. So if it is increased by using various reforms and using better management then and change it 2.3, then calculate part A. Okay, so let's dive in So first. Okay, so we need population hs o j n plus one s n plus one A and plus one is equals to the metrics is Zito 0.180 Zito Taito 0.71 little 0.33 Zito little 0.94 times current time. So let me die for me a j n Hessen and in Okay So first year that is an equals to zero. So J one s one and one will be equals toe the same metrics and this is values given to us. It is 6. 90 to 10 and 2100. So on solving this metrics by using matrix multiplication, we get J one j two. Sorry s one. And and one. Sorry. This is Evan, right? Evan, is it? Calls to it is 6 93 and we have won 24 2123 So total population will be addition off all this. So 693 plus 1 to 4. And this is population after a year. Plus 2, +123 And this gives us +2940 Okay, so we have this value now, using this as an input. So the second one will be that isn't J two s two a two will be called. So in metric 0.180 0.710 point 3300.94 times this. You want first year value 6931 to 4 to 123 and on solving this and calculating the total we get. T two equals two 2909 Similarly, for second year territorial, T three will give us 286134 We'll have toe 81 full and defy. That is 50 year we'll have 2767 Now we can see the population is decreasing. Continues letters from 29 to 29 09 Then 28 61 21 4, 27 67 Okay, so we found that our population is decreasing and that is a part a solution. Now we need party. So partly says we can approximate the given metrics, etc. And plus one is N plus one a and plus one as 0.98359 times J s n a n And since this value is less than one Okay, so on multiple multiplication for first year, it will be this for second or it will become square three years cube and on making it higher powers. This will approach to zero, right? So eventually the old population is going tobe Israel and they're going to get managed so that it's part B for part C. We need to change 0.1 to 0.3 into our metrics. Do you do some measures taken so he can write J n plus one s n plus one a and plus one? Is it close to 0.30 0.71 0.3300 point 94 And this is famous and J. N. Essen A. And Okay, so now we can substitute of value. So to calculate J one s one a one, this is 0.30000 point 710.3300 point 94 times the same values which we have already substituted in question number, but a Okay, so that it's 6. 19 to 10. Hm, 2100. So on solving this, we get J one s one a one s 3693 Same as because this the way same second row will change. So the answer is 207 and thorough again. Same. So we'll have same value. That is 2121 So on adding this we get first year population is 30 to 1. And if you see there is increments of 21 all because off slight change in the juveniles taking care of percentage of survival. Okay, so similar basis we can calculate to that is equals to 051 33 3079 34 This 3107 25. We get 3135 Now you can see there is a steady increase in the number of all population. Thank you.

This is a problem. # 29 We are given a set of data regarding regarding the per capita disposable income for each of the 50 States and District Columbia. First we will construct a frequency distribution Given that the lower bound of our class is 20,000 and our class with our 2500. We will get the following for our income. Mhm. I'll just round both of these classes to make it easier to fit. So we have 20- 25 K. 22.5. Mhm. 22 5-25, 25-27 5 27.5-30 30 to 32.5 32 5-35, 35 to 37.5 37 5 to 40 and finally 40- 42.5. Now these are not inclusive of the bounds. This is obviously this will be like 22499, I just ordered like this to make it easier to ride out for our frequencies. If we count each of these data points, we get the following three, 10, 14, 12, seven, two, two, zero and one. And when we calculate our relative frequency we get 5.9%,, 19.6%,, 27.5%,, 23.5%,, 13.7%,, 3.9%,, 3.9%,, 0% And 2.0%. So as we can see most of our data is in the top part of our data set. And when you construct your hissed a gram, it does seem to follow this so it is very slightly right skewed. If we are then to change our class sizes to be 4000 wide you will find that the data is significantly more skewed left as our relative frequencies will drop to 19.6%,, 43 0.1% 27.5%,, 5.9 And 2% for the last two classes that we would have. So as you can see, this data is significantly more right. Skewed. This set of data with these smaller classes is a much more precise way of representing this data.


Similar Solved Questions

5 answers
At what points is the following function continuous?343 X#7Xf-7 x2 _ 49 10.5, {=7t(X)X= -7Choose the correct answer below and, if necessary; fill in the answer box to complete your choiceAll real numbers except atx= (Use comma to separate answers as needed )Only atx= -7,7 (Use comma t0 separate answers as needed )AII rea numbers %
At what points is the following function continuous? 343 X#7Xf-7 x2 _ 49 10.5, {=7 t(X) X= -7 Choose the correct answer below and, if necessary; fill in the answer box to complete your choice All real numbers except atx= (Use comma to separate answers as needed ) Only atx= -7,7 (Use comma t0 separat...
5 answers
Write cell schematics for the following cell reaction .Zn (s) + Sn-t(aq) Zn?*(aq) Sn?+ (aq)Usel ithe template below:Zni(s)Zn2+ (aq) Sn2+i(aq) Sn4+ (aq)
Write cell schematics for the following cell reaction . Zn (s) + Sn-t(aq) Zn?*(aq) Sn?+ (aq) Usel ithe template below: Zni(s) Zn2+ (aq) Sn2+i(aq) Sn4+ (aq)...
5 answers
3hours6/15Question 9On average; Nancy has noticed that 20 trucks pass by her apartment daily (24 hours) In order to find the probability that more than 2 trucks will pass her apartment in a 3 hour time period using the Poisson distribution, what is the average number of trucks per 3 hours? Round your answer to one decimal place.Provide your answer below:D FEEDBACKevious
3hours 6/15 Question 9 On average; Nancy has noticed that 20 trucks pass by her apartment daily (24 hours) In order to find the probability that more than 2 trucks will pass her apartment in a 3 hour time period using the Poisson distribution, what is the average number of trucks per 3 hours? Round ...
5 answers
Write the third column of the matrix as linear combination of the first two columns_ if possible. (If not possible_ enter IMPOSSIBLE on both answer blanks.)8 7 20)H Need Help? Rants auru
Write the third column of the matrix as linear combination of the first two columns_ if possible. (If not possible_ enter IMPOSSIBLE on both answer blanks.) 8 7 20 )H Need Help? Rants auru...
5 answers
A sample of $n=500(x, y)$ pairs was collected and a test of $H_{0}: ho=0$ versus $H_{a}: ho eq 0$ was carried out. The resulting $P$ -value was computed to be $.00032$.a. What conclusion would be appropriate at level of significance .001?b. Does this small $P$ -value indicate that there is a very strong linear relationship between $x$ and $y$ (a value of $ho$ that differs considerably from zero)? Explain.
A sample of $n=500(x, y)$ pairs was collected and a test of $H_{0}: ho=0$ versus $H_{a}: ho eq 0$ was carried out. The resulting $P$ -value was computed to be $.00032$. a. What conclusion would be appropriate at level of significance .001? b. Does this small $P$ -value indicate that there is a ve...
5 answers
DtliftCOPICOP2Efficientcy40 1 E 50 10 50 -10 : 2 ~25 50 ~30 ~35 50 4o 503.333333 2.333333 2.5Carnot Efficeicency at 50 degreesIDtlft (derrees CIcoPicopl(llrienlct1. Why do the Curves for the first plot look as they do?
Dtlift COPI COP2 Efficientcy 40 1 E 50 10 50 -10 : 2 ~25 50 ~30 ~35 50 4o 50 3.333333 2.333333 2.5 Carnot Efficeicency at 50 degrees I Dtlft (derrees CI coPi copl (llrienlct 1. Why do the Curves for the first plot look as they do?...
5 answers
Question 8 (5 points) Under optimum conditions, cells of bacteria can divide approximately every 20 minutes. If there are 100 bacterial cells in a Petri dish, after two (2) hours there will be approximately bacterial cells present in the culture.1600320064002000600
Question 8 (5 points) Under optimum conditions, cells of bacteria can divide approximately every 20 minutes. If there are 100 bacterial cells in a Petri dish, after two (2) hours there will be approximately bacterial cells present in the culture. 1600 3200 6400 2000 600...
5 answers
What reports did Molly include in her financial plan?
What reports did Molly include in her financial plan?...
5 answers
Water sampleDrops of indkatorVolumc ofO.01M Catt EDTA uscd reach Molcs of Caz+ concentration point water (M}Water scurcevolumeCalmagiteUSF ISA drinking watcr Tountain USF BSF drinking water (fountain50 mLmL50 mL12 mLPublix pure bottle water50 mL5 ML
Water sample Drops of indkator Volumc ofO.01M Catt EDTA uscd reach Molcs of Caz+ concentration point water (M} Water scurce volume Calmagite USF ISA drinking watcr Tountain USF BSF drinking water (fountain 50 mL mL 50 mL 12 mL Publix pure bottle water 50 mL 5 ML...
5 answers
OucaotHesIneuranco poly salls for {8C0 Based on past dun, 17 avelaoo ol ! In 50 polotioksare wiii go Aelilol duln_and a1 &innae {15,000 DAin an averuje 041in Z0 poicyhcidcrs ~Ill fi8 Ts Doitnclder Vl File & 530 cod Haim NEDtndinedm or koen EicDUAtta Ire companyinornolcy Kou comfjny 06L: 10,00j P3idict HnalaIsexdecled Yitta(Sumplly vout anawct,
OucaotHes Ineuranco poly salls for {8C0 Based on past dun, 17 avelaoo ol ! In 50 polotioksare wiii go Aelilol duln_and a1 &innae {15,000 DAin an averuje 041in Z0 poicyhcidcrs ~Ill fi8 Ts Doitnclder Vl File & 530 cod Haim NEDtndinedm or koen EicDUAtta Ire companyinornolcy Kou comfjny 06L: 10,...
5 answers
Prove why 1+1=3
prove why 1+1=3...
5 answers
Seorang peneliti ingin mengetahui pengaruh Media Komunikasiterhadap keakuratan penerimaan pesan. Ia melakukan eksperimenterhadap dua kelompok. Kelompok eksperimen (E) diberi mediaKomunikasi berupa VCD sedangkan kelompok kontrol (K) tanpa MediaKomunikasi tetapi langsung dari komunikator.
Seorang peneliti ingin mengetahui pengaruh Media Komunikasi terhadap keakuratan penerimaan pesan. Ia melakukan eksperimen terhadap dua kelompok. Kelompok eksperimen (E) diberi media Komunikasi berupa VCD sedangkan kelompok kontrol (K) tanpa Media Komunikasi tetapi langsung dari komunikator....
5 answers
(Apts) Find equation of the linc that is tangent to the graph of f and parallel the line 12++3(dpt) Duterrnine whcther thu furiclivu dileieulixble L=I Jualily Yuw Muwci analytically ~2x+3, fO)ef, x21(Jpts) The tangent linc to the _ geph of y = h(r)at the point (-4,4) passcs through the point (3,6}. Find h(-I) h{-1):
(Apts) Find equation of the linc that is tangent to the graph of f and parallel the line 12++3 (dpt) Duterrnine whcther thu furiclivu dileieulixble L=I Jualily Yuw Muwci analytically ~2x+3, fO)ef, x21 (Jpts) The tangent linc to the _ geph of y = h(r)at the point (-4,4) passcs through the point (3,6}...
5 answers
The van Deemter plots shown below correspond packed columns that are identical except for the size of the stationary phase particles (3_ and !0 [m}:la (TLM^EWhich column would show Ihe bestresolutionfor Iwo similar solutes" What aspectls) of the gTph above allowed YOu - make this decision?Use the three Ient the Vn Deemler equation the differences these plots:explainWhy is longitudinal diffusion more scnous problem in GC than LCYoutself WR EEU eLA
The van Deemter plots shown below correspond packed columns that are identical except for the size of the stationary phase particles (3_ and !0 [m}: la (TLM^E Which column would show Ihe bestresolutionfor Iwo similar solutes" What aspectls) of the gTph above allowed YOu - make this decision? U...
1 answers
Question 2_ Let G be group and a € G. If a? # e and a' = @; prove that a4 / e and a5 + e
Question 2_ Let G be group and a € G. If a? # e and a' = @; prove that a4 / e and a5 + e...
5 answers
1_ For which integers n is i" a real number? Explain why:2 Let z = 2ein3 Locate z on the complex plane; Find all cube roots of z and show them on single Argand diagram. Show your working:
1_ For which integers n is i" a real number? Explain why: 2 Let z = 2ein3 Locate z on the complex plane; Find all cube roots of z and show them on single Argand diagram. Show your working:...
5 answers
5:10Question 35 of 39SubmitStandard Reduction PotentialsE' (V)Fe2+(aq) + 2eFe(s) -0.44 Culs) +0.15Cu?-(aq) + 2e Pb2-(aq) + 2e" Pb(s) -0.13 Sn2-(aq) + 2e" Sn(s) -0.14 Co2-(aq) + 2e" Co(s) -0.28 Cr2-(aq) + 2e Cr(s) -0.74A) PbB) CrC) CoD) CuE) SnTap here or pull up for additional resources
5:10 Question 35 of 39 Submit Standard Reduction Potentials E' (V) Fe2+(aq) + 2e Fe(s) -0.44 Culs) +0.15 Cu?-(aq) + 2e Pb2-(aq) + 2e" Pb(s) -0.13 Sn2-(aq) + 2e" Sn(s) -0.14 Co2-(aq) + 2e" Co(s) -0.28 Cr2-(aq) + 2e Cr(s) -0.74 A) Pb B) Cr C) Co D) Cu E) Sn Tap here or pull up for ...
5 answers
10-2 m6creen0.02 m0.5 m
10-2 m 6creen 0.02 m 0.5 m...

-- 0.022096--