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determine the time taken for light to travel a distance of km along the core of an optical fibre


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1.Module 5 - Practice Question Mr. Jay Brown is 66 years of age and his 2020 income is made up of ...

loyment income of $75,800, contributed $6,500 to his RRSP. He also earned interest income from Guaranteed Investment Certificate (GIC) of $3,700 during 2020 and received Old Age Security benefits of $7,400 (because of large business losses during the previous two years, no amount was withheld from the OAS payments). Mr. Brown and his family live in Toronto, Ontario. For 2020, Mr. Brown’s employer withheld maximum CPP ($2,898) and EI ($856) contributions. Other information pertaining to 2020 is as follows: 1. Mr. Brown’s spouse is 59 years old and qualifies for the disability tax credit. Her income for the year totaled $4,500. 2. Mr. and Mrs. Brown have two daughters, Keith, aged 15 and Laura, aged 17. Keith had income of $2,700 for the year while Laura had net income of $3,000. In September 2020, Laura began full time attendance at a Canadian university. Mr. Brown paid her tuition fees of $6,000, of which $3,500 was for the fall 2020 semester. Laura is willing to transfer her tuition credit to her father. 3. The family medical expenses for the year, all of which were paid by Mr. Brown, totaled $3,845. Of this amount, $300 was paid for Keith and $900 for Laura. 4. During the year, Mr. Brown made cash donations to registered Canadian charities in the amount of $2,000. 5. During the year, Mr. Brown made contributions to federal political parties totaling $1,800. Required: Use the above information to determine Mr. Brown’s - Clawback amount for the social benefit repayment - Net income for tax purposes - Federal tax payable before tax credit (Gross tax) - Tax credits available - Federal tax payable for 2020.
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2.Respond to ALL FOUR QUESTIONS. Each question carries 5 marks. Response to each question attempted should be at least 500 ...

ould be at least 500 words. The document should adhere to APA guidelines. Please state the question and then post your answer below the Question. Q1. How does marketing research help in the marketing planning process? Use a hypothetical business (e.g. a small sporting goods store, local hardware manufacturing small business, an independent publishing company, etc.) to discuss how market research helps in compiling market intelligence with regard to aspects such as product decisions, customer segmentation decisions, brand and pricing decisions, keeping stakeholders happy. Q2. NuVision Lens, a mail-order contact lens company has struggled to break even after being five years in the eyewear market. The company’s founders had thought that high demand would exist for mail-order supply as a low-cost alternative to purchasing contact lenses at optical outlets. However, the market share of NuVision continues to be much less than the retail stores. NuVision Lens has hired you as their marketing consultant. Outline the steps that you will take to formulate a problem statement and research objective on the above situation. Q3.  Your friend, Ms.Destiny Brown is the CEO and founder of ‘Hide and Chic’ an upscale leather goods store based in Houston, Texas. Ms. Brown is actively considering to expand her company’s product line to include sports accessories including golf gloves, premium quality leather grips for tennis, squash, racquetball, badminton rackets, leather sports bags, etc. She has hired you to undertake a marketing research study to determine whether a market exists among retail outlets and sporting goods distributors in Houston, for these specialty items under the ‘Hide and Chic’ brand name. Define and describe the target population for this study? Discuss the sampling methods that could be used in this study. Recommend, with reasons, the most optimal sampling procedures for this study. Q4. Farm Fresh Grocery’ (FFG) has always used paper bags for sacking groceries. However, management has noticed that some competitors are offering reusable bags to their customers. FFG management has asked you to find out if its current customers would prefer bringing the reusable bags every time they visit the FFG store. A) Select two projective techniques to use in your research. Give reasons for your choice. B) Describe in detail how your two chosen techniques would be applied to this research problem.
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3.Can domestic dogs understand human body cues such as leaning? The experimenter leaned toward one of two objects and recorded ...

two objects and recorded whether or not the dog being tested correctly chose the object indicated. A four-year-old male beagle named Augie participated in this study. He chose the correct object 42 out of 70 times when the experimenter leaned towards the correct object. (a) (2 points) Let the parameter of interest, π, represent the probability that the long-run probability that Augie chooses correctly. Researches are interested to see if Augie understands human body cues (better than gussing). Fill in the blanks for the null and alternative hypotheses. H0 : Ha : (b) (6 points) Based on the above context, conduct a test of significance to determine the p-value to investigate if domestic dogs understand human body cues. What conclusion will you draw with significance level of 10%? (If you use an applet, please specify which applet you use, and the inputs.) (c) (5 points) Based on the above context, conduct a test of significance to determine the p-value to investigate if domestic dogs understand human body cues. What conclusion will you draw with significance level of 5%? (If you use an applet, please specify which applet you use, and the inputs.) (d) (2 points) Are your conclusions from part (b) and (c) the same? If they are different, please provide an explanation. (e) (5 points) Shown below is a dotplot from a simulation of 100 sample proportions under the assump- tion that the long-run probability that Augie chooses correct is 0.50. Based on this dotplot, would a 90% confidence interval for π contain the value 0.5? Explain your answer. (f) (4 points) Compute the standard error of the sample proportion of times that Augie chose the object correctly. 1 (g) (5 points) (h) (3 points) question? (i) (4 points) (j) (4 points) A. B. C. Construct an approximate 95% confidence interval for π using the 2SD method. What is the margin of error of the confidence interval that you found in the previous How would you interpret the confidence interval that you found in part (g)? Which of the following is a correct interpretation of the 95% confidence level? If Augie repeats this process many times, then about 95% of the intervals produced will capture the true proportion of times of choosing the correct objective. About 95% times Augie chooses the correct objective. If Augie repeats this process and constructs 20 intervals from separate independent sam- ples, we can expect about 19 of those intervals to contain the true proportion Augie chooses the correct objective. (k) (4 points) object 21 out of 35 times. Conjecture how, if at all, the center and the width of a 99% confidence interval would change with these data, compared to the original 2SD 95% confidence interval. The center of the confidence interval would . The width of the confidence interval would . (l) (4 points) Suppose that we repeated the same study with Augie, and this time he chose the correct object 17 out of 35 times, and we also change the confidence level from 95% to 99%. Conjecture how, if at all, the center and the width of a 99% confidence interval would change with these data, compared to the original 2SD 95% confidence interval. Suppose that we repeated the same study with Augie, and this time he chose the correct The center of the confidence interval would The width of the confidence interval would . .
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4.Please check options and pictures within the file attached. If the questions can be answered within a free demo session ...

hin a free demo session as I have my answers, but just want to confirm them, that would be greatly appreciated. Question 1: A block of mass M = 0.10 kg is attached to one end of a spring with spring constant k = 100 N/m . The other end of the spring is attached to a fixed wall. The block is pushed against the spring, compressing it a distance x = 0.04 m . The block is then released from rest, and the block-spring system travels along a horizontal, rough track. Data collected from a motion detector are used to create a graph of the kinetic energy K and spring potential energy Us of the system as a function of the block's position as the spring expands. How can the student determine the amount of mechanical energy dissipated by friction as the spring expanded to its natural spring length? Question 2: The Atwood’s machine shown consists of two blocks connected by a light string that passes over a pulley of negligible mass and negligible friction. The blocks are released from rest, and m2 is greater than m1. Assume that the reference line of zero gravitational potential energy is the floor. Which of the following best represents the total gravitational potential energy U and total kinetic energy K of the block-block-Earth system as a function of the height h of block m1? Question 3: A 2 kg block is placed at the top of an incline and released from rest near Earth’s surface and unknown distance H above the ground. The angle θ between the ground and the incline is also unknown. Frictional forces between the block and the incline are considered to be negligible. The block eventually slides to the bottom of the incline after 0.75 s. The block’s velocity v as a function of time t is shown in the graph starting from the instant it is released. How could a student use the graph to determine the total energy of the block-Earth system? Question 4: A block slides across a flat, horizontal surface to the right. For each choice, the arrows represent velocity vectors of the block at successive intervals of time. Which of the following diagrams represents the situation in which the block loses kinetic energy?
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5.In a city with a population of 100,000 people, the spread of an influenza epidemic follows the differential equation: dy / ...

rential equation: dy / dt = py (100000 - y) Where: y is the number of infected people at time t (measured in weeks) and p = 0.00001. If 10 people were ill, determine y as a function of t. How long will it take before half the population is infected?
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6.Facultative anaerobes can grow with or without free oxygen in their environment (e.g., gut-dwelling bacteria). Obligatory anaerobes require absence of ...

bacteria). Obligatory anaerobes require absence of oxygen. You are researching how a facultative anaerobe transitions from anaerobic to aerobic respiration along the length of the human intestine (small and large intestine), where oxygen levels – and with them respiration - vary from atmospheric levels of oxygen (aerobic respiration) to no oxygen (anaerobic respiration). You grow cultures of a facultative anaerobic bacteria in flasks with different levels of oxygen that mimic the conditions in the 7.5m long human intestines and collect data on the growth rates of the bacteria (number of bacterial colonies) under the different conditions. Time food spends in the small intestine, 2.5m long, is 4 hrs. The time taken for food to pass through the entire length of the intestine is between 24 and 72 hrs. To determine oxygen levels in your flasks, you use the ratio of oxygen to nitrogen, which you vary between 0 (no oxygen) and 0.25 (atmospheric levels of oxygen). You assume that for conditions where r<0.01 your bacteria will be obligatorily anaerobic, and aerobic respiration will be observed from r=0.05. If the oxygen ratio goes from 0.25 to 0 over 7.5 m, and rO2 = 0.25 – 0.03x (x=distance along the intestine) describes the relationship between oxygen ration and the length of path travelled by the bacteria in the intestine, how long will it take bacteria to pass from the small into the large intestine? Explain how you arrived at your estimate.
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7.The cost of gym membership, C, in Australian dollars (AUD), in Paolo’s Gym can be modelled by the function C = 65t ...

function C = 65t + 30 where t is the time in months. (a) Calculate the gym membership cost over a six month period. (b) Sketch the graph of the function C = 65t + 30 for t ≥ 0. (c) Calculate the time, t, in months, when the total cost reaches 290 AUD. In the neighbouring Nicolo’s Gym, the initial payment is 75 AUD higher than in Paolo’s Gym, however the monthly fee is lower at 30 AUD per month. (d) Determine the number of months it takes for the total cost to be less by attending Nicolo’s Gym in comparison to Paolo’s Gym.
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8.The unit price of market goods is $1. Each person has 8 hours to work each day. Another couple, Sylvan and ...

van and Alex, have the same productivities: Sylvan is identical to Rajan, while Alex and Esther are identical. Esther and Rajan both engage in market work. Sylvan works full time at home, so only Alex works in the market. a) Given this information, which couple has the higher opportunity cost of home produced goods? Explain how you determined this. You can add a diagram if that helps, but you are not required to include one. b) Can you determine which couple has the higher utility? Explain why or why not. Suppose now that value of market production for both Alex and Esther increased to $12/per hour. c) Explain the change in the household joint production possibility frontier generated by this change. d) Explain what would happen to each couple’s choice of both household and market produced goods, using an analysis by means of income and substitution effects. e) What changes in time allocation for each couple that would be necessary to produce and consume this new bundle? Briefly explain your reasoning.
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1.AU MAT 120 Systems of Linear Equations and Inequalities Discussion

mathematicsalgebra Physics