Community ecologists study the factors that determine the abundance of different species. The abundance of three algae species (in mg/mL) is quantified in two differentlakes before and after an unusually hot summer. The coordinates of these four samples in R3 are Lake A: (92, 65, 40) and (95, 61, 47) before and after summer,respectively, and Lake B: (26, 56, 24) and (23, 60, 17) before and after summer, respectively.(a) How does the magnitude of the change in algal community compare between the two lakes?The magnitude of the change in algae species is greater for Lake A than B.The magnitude of the change in algae species is greater for Lake B than A.The magnitude of the change in algae species is the same for Lake A and B.(b) How does the direction of the change in algal community compare between the two lakes?O The direction of the change in algal community in Lake A is opposite that of Lake B.The direction of the change in algal community in Lake A is the same as that of Lake B.Need Help?Read It

(a)Vectors that shows abundance of three algae species in lake A are (92,65,40) and (95,61,47)…

Community ecologists study the factors that determine the abundance of different species. The abundance of three algae species (in mg/mL) is quantified in two different lakes before and after an unusually hot summer. The coordinates of these four samples in R3 are Lake A: (92, 65, 40) and (95, respectively, and Lake B: (26, 56, 24) and (23, 60, 17) before and after summer, respectively. 47) before and after summer, (a) How does the magnitude of the change in algal community compare between the two lakes? O The magnitude of the change in algae species is greater for Lake A than B. O The magnitude of the change in algae species is greater for Lake B than A. O The magnitude of the change in algae species is the same for Lake A and B. (b) How does the direction of the change in algal community compare between the two lakes? O The direction of the change in algal community in Lake A is opposite that of Lake B. O The direction of the change in algal community in Lake A is the same as that of Lake B.

Community ecologists study the factors that determine the abundance of different species. The abundance of three algae species (in mg/mL) is quantified in two different lakes before and after an unusually hot summer. The coordinates of these four samples in R3 are Lake A: (92, 65, 40) and (95, respectively, and Lake B: (26, 56, 24) and (23, 60, 17) before and after summer, respectively. 47) before and after summer, (a) How does the magnitude of the change in algal community compare between the two lakes? O The magnitude of the change in algae species is greater for Lake A than B. O The magnitude of the change in algae species is greater for Lake B than A. O The magnitude of the change in algae species is the same for Lake A and B. (b) How does the direction of the change in algal community compare between the two lakes? O The direction of the change in algal community in Lake A is opposite that of Lake B. O The direction of the change in algal community in Lake A is the same as that of Lake B.

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

See similar textbooks

Similar questions

rofessor Cornish studied rainfall cycles and sunspot cycles. (Reference: Australian Journal of Physics, Vol. 7, pp. 334-346.) Part of the data include amount of rain (in mm) for 6-day intervals. The following data give rain amounts for consecutive 6-day intervals at Adelaide, South Australia. 7 28 7 1 69 3 1 4 22 7 16 4 54 160 60 73 27 3 3 1 7 144 107 4 91 44 1 8 4 22 4 59 116 52 4 155 42 24 11 43 3 24 19 74 26 63 110 39 34 71 52 39 8 0 15 2 14 9 1 2 4 9 6 10 (i) Find the median. (Use 1 decimal place.)(ii) Convert this sequence of numbers to a sequence of symbols A and B, where A indicates a value above the median and B a value below the median. Test the sequence for randomness about the median at the 5% level of significance. (b) Find the number of runs R, n1, and n2. Let n1 = number of values above the median and n2 = number of values below the median. R n1 n2 (c) In the case, n1 > 20, we cannot use Table 10 of Appendix II to find the critical…
5 and 6. The following data was collected from 1 bag of Hershey Kisses®. Each Kiss® was weighed in grams with the wrapper and recorded in the table below. Hershey claims that there are 368 grams of chocolate in one bag. Hershey Kiss Weights in Grams 4.76 4.72 4.74 4.55 4.91 4.74 4.78 4.71 4.80 4.78 4.78 4.75 4.79 4.82 4.91 4.83 4.68 4.74 4.70 4.80 4.70 4.76 4.70 4.83 4.93 4.74 4.84 4.82 4.76 4.77 4.72 4.78 4.83 4.75 4.74 4.68 4.84 4.71 4.71 4.76 4.66 4.78 4.73 4.74 4.92 4.77 4.80 4.79 4.86 4.64 4.78 4.70 4.75 4.78 4.76 4.83 4.66 4.77 4.83 4.78 4.69 4.81 4.68 4.78 4.88 4.72 4.85 4.85 4.81 4.74 4.80 4.82 4.84 4.70 4.85 4.70 4.81 4.72 4.79 4.73 4.61 Based on Hershey's® claim for 368 total net grams of chocolate in the bag, approximately how many Kisses® too many or too few are there? Assume that the Kisses® were weighed with the wrapper, each wrapper weighs 0.12 grams, and the net grams listed on the bag are for the chocolate only. Give some possible…
please answer question in images. Thank you
Q. 3 We are given the following data for a city: Population of the city on March 30, 2020 = 183,000 Number of new active cases of TB occurring between January 1 and June 30, 2020 26 Number of active TB cases according to the city register on January 1, 2020 = 264 Find the (i) Cumulative incidence of active cases of TB for the 6-month period3; (ii) Prevalence of active TB as of June 30, 2020.
C-4) The concentration of active ingredient in a liquid laundry detergent is thought to be affected by the type of catalyst used in the process. Ten observations on concentration are taken with each catalyst, and the data follow: Catalyst 1: 57.9, 66.2. 65.4, 65.4, 65.2. 62.6, 67.6, 63.7, 67.2. 71.0 Catalyst 2: 66.4. 71.7. 70.3. 69.3, 64.8, 69.6, 68.6, 69.4, 65.3, 68.8. Find a 95% confidence interval on the ratio of active concentrations for the two catalysts, and explain it.
Q2 Fifteen adults of males between age of 35 and 50 participated in a study to evaluate the effect of diet and exercise on blood cholesterol level. The total cholesterol was measure in each subject initially and then three month after participating in aerobic exercise program and switching to low fight diet. The data are shown in the table below: Before 256 240 258 295 251 205 238 247 225 294 238 229 After 229 231 227 234 218 218 230 243 221 240 219 211 a. Do the data support the claim that low fat diet and aerobic exercises are of value in producing a mean reduction in blood cholesterol level at 5 % level of significance? (show all steps of hypothesis testing) b. Construct a one sided confidence interval that can be used to answer the question in part a. Check the results obtained in part a using R-Studio. Write your conclusion based on the p-value obtained in R studio. C.
A researcher is interested in the relationship between age and golf performance. The researcher claims that golf performance improves with age, that is, as one gets older, his or her golf scores decrease. [In golf, a low score represents better performance; a higher score represents worse performance.] The researcher randomly selects a group of eight golfers at the local golf course and records their ages and their most recent golf score. The data that were collected are presented below: Golfer's Name Diego Tiger Bogart Marilyn Jennifer Mitch Bubba Amber Age (years) Variable 1 23 14 38 43 49 36 72 Golf Score Variable 2 92 112 77 84 81 72 79 86 Which of the following are the correct statements of the null and alternate hypotheses, Ho and HA? O Ho: M₁ M₂ and HA: H1 H₂
Beachcomber Ltd in a local car dealership that sells used and new vehicles. The manager of the company wants to know how different variables affect the sales of his vehicles. A random sample of yearly data was taken with the view to testing the model: SALES=?+?AGE+?MIL+?ENG Where SALES= amount that a vehicle is sold for($000’s), AGE = age of the vehicle, MIL= the total mileage of the vehicle at the point of sale and ENG = the size of the engine. The sample of data was processed using MINITAB and the following is an extract of the output obtained: a) What is dependent and independent variables? b) Fully write out the regression equation c) Fill in the missing values ‘*’, ‘**’, and ‘***’.
A random sample of 42 earthquakes that have occurred between January 2015 and September 2017 was selected and for each earthquake the magnitude of the earthquake and the number of people killed was recorded. The data appear in the scatterplot below. 400 350 300 250 200 150 100 50 0 3 -50 4 5 6 7 8 9 10 -100 -150 Magnitude of Earthquake 8 Consider the scatterplot above question 2. Use this scatterplot to describe completely the relationship between the magnitude of the earthquake and the number of people killed. Positive and linear Negative, moderate, linear O Negative, strong, linear Positive, moderate, linear Number of People Killed ---
Question 4Beachcomber Ltd in a local car dealership that sells used and new vehicles. The manager of thecompany wants to know how different variables affect the sales of his vehicles. A random sample ofyearly data was taken with the view to testing the model:SALES=?+?AGE+?MIL+?ENGWhere SALES= amount that a vehicle is sold for($000’s), AGE = age of the vehicle, MIL= the totalmileage of the vehicle at the point of sale and ENG = the size of the engine. The sample of data wasprocessed using MINITAB and the following is an extract of the output obtained: d) Hence test whether ? is significant. Give reasons for your answer. e) Perform the F Test making sure to state the null and alternative hypothesis. f) Given an interpretation of the term “R-sq” and comment on its value.
1. Find the value of Q₁ for this data: 2, 4, 6, 8, 10, 12, 14 O A 4 B.5 O c.8 OD. 12
ONLY DO D, E, F, G, and H