I am an enthusiastic tutor with experience teaching in person and online since the pandemic. Besides teaching Mathematics up to Advanced level, I have experience teaching Physics and Chemistry too.
I love solving problems, public speaking and technology. I take pride in my communication skills and these have come in handy in my past experiences as a teacher and online tutor.
find the Wronskian of the given pair of functions.$$e^{2 t}, \quad e^{-3 t / 2}$$
find the Wronskian of the given pair of functions.$$\cos t, \quad \sin t$$
find the Wronskian of the given pair of functions.$$e^{-2 t}, \quad t e^{-2 t}$$
find the Wronskian of the given pair of functions.$$x, \quad x e^{x}$$
find the Wronskian of the given pair of functions.$$e^{t} \sin t, \quad e^{t} \cos t$$
Mary is considering the possibility of opening a small dress shop on Avenue, a few blocks from the university. She has located a good mall that attracts students. Her options are to open a small shop, a medium-sized shop, or no shop at all. The market for a dress shop can be good, average, or bad. The probabilities for these three possibilities are 0.2 for a good market, 0.5 for an average market, and 0.3 for a bad market. The net profit or loss for the medium-sized and small shops for the various market conditions are given in the following table. Building no shop at all yields no loss and no gain.
Alternative Good Market Average Market Bad MarketSmall shop 30,000 75,000 -40,000Medium-Sized shop 55,000 80,000 -60,000No shop 0 0 0
a. Calculate the EMV criterion (2 Marks)b. Prepare the EVPI. (4 Marks)
Over the course of a year, the number of workers per day buying lunch at Subway has a mean of 16,000 workers and a standard deviation of 1,100 workers. The number of workers per day buying lunch at McDonald's has a mean of 970 workers and a standard deviation of 710 workers.
Let X be the total number of lunches purchased by workers (at Subway or McDonald's) on a randomly chosen day.
a. What is the mean value of X?b. What is the maximum possible standard deviation for X?c. What is the minimum possible standard deviation for X?
As shown below, an object weighing 300 N is lying on an inclined plane. 45° (a) Write the force of gravity as a vector in 2-space. (b) Use projections to find the vector component of the force of gravity acting parallel to the ramp. Do not rotate the axes! (c) If the object moves 40 m down the ramp, write its displacement vector. (d) If the displacement described in part (c) is due to the force of gravity, find the work done.
The manager of a small shopping mall wants to estimate themean amount spent per shopping visit by customers. He computeda 95% confidence interval based on a sample of 36 customers as(120, 305). What is the sample mean? use online calculator ifneeded An analyst in a personnel department randomly selects therecords of 57 hourly employees and finds that the mean wagerate per hour is 44 with a standard deviation of 11. Findthe lower confidence limit of the 90%confidence interval estimate for the mean wage of all hourlyemployees. Round your answer to two decimalplaces. use online calculator if needed
Given the following decision tree information, how many outcomesarepossible? a. 25 b. 35 c. 15 d. 45 StepOne StepTwo StepThreeAlternative 1: 5outcomes Alternative1: 2outcomes alternative1: 2 outcomesAlternative 2: 3outcomes Alternative2: 3 outcomesAlternative 3: 6 outcomes
In a lottery game, a single ball is drawn at random from a container that contains 25 identical balls numbered from 1 through 25. Use the equation P(A∪B) = P(A) + P(B) - P(A∩B), where A and B are any events, to compute the probability that the number drawn is prime or greater than 6. (Type an integer or a decimal.)
Question 2:A shipment of 50 inexpensive digital watches, including 10 that are defective, is sent to a department store. The receiving department selects 10 at random for testing and rejects the whole shipment if 1 or more in the sample are found defective. What is the probability that the shipment will be rejected?
