Name: __ The Men Who Built AmericaEpisode 1: "A New War Begins" -Vanderbilt 1. Soon after acquiring his first ferry, what reputation did Vanderbilt earn? 2. Why did they call him "The Commodore?" 3. In 1866, Vanderbilltwas especially struggling. What recent loss affected him so deeply? 4. Vanderbilt's rivals stopped believing he was a strong business adversary.What did Vanderbilt do to convince them he was still powerful? 5. What effect did closing the bridge have on the New York Central Railroad, and how did Vanderbilt profit from it? 6. Vanderbilt wanted to advertise his power as a railroad magnate. What enormous New York building did he help build? 7. Vanderbilt pioneered the technique of rapidly buying a large amount of another company's stock. This is called a __ 8. How did Gould & Fisk prevent Vanderbilt's takeover (and get rich in the process)? 9. The objective of the super rich is often not to make money it is to __ 10. Vanderbilt knew that a good entrepreneur finds something that people lack and gives it to them. What product did Vanderbilt decide to sell? 11. John D. Rockefeller was en route to a meeting with Vanderbilt . What happened on the trip there? 12. How did that event affect Rockefeller? After watching: 13. How did Vanderbilt's upbringing affect his business attitudes? 14. Given what you know about both Vanderbilt and Rockefeller, what do you think their meeting will be like when it takes place?

What threshold p value would you use to ascribe significant to the results of your inferential statistics, briefly explain your reasoning

Solve this system of equations, show all the calculations.  0.6 * x^-0.4 * y^0.4 - 50λ = 0  0.4 * x^0.6 * y^-0.6 - 20λ = 0 200 - 50x - 20y = 0

You borrow £10,000 from a friend and agree that you will repay the loan by four equal end-of-year instalments. Your friend will charge you a constant annual interest rate of 8%. What will be your annual repayments?

Use the Fourier-Poisson formula to find the limit as t → ∞ of the solution to the problem Ut = κUxx, x ∈ R, t > 0, U(x, 0) = 3 x < 0                   1 x > 0 .  Plot the solutions at several instants of time and describe in qualitative terms the behaviour of the solution to as t → ∞. What is limt→∞ U(x, t)?

EXPLAIN THE MAIN REASONS OF HYPOTHESIS TESTING IN STATISTICAL ANALYSIS? 1

A general insurance company offers policies for three different kinds of rowing boat: A Type, B Type and C Type. For A Type boats, the number of claims per boat per year follows a Poisson distribution with parameter 𝜇. The following data is available for the past five years: Year 1 2 3 4 5 Number of A Type boats insured 80 98 145 158 166 Number of claims 12 21 26 38 52 (i) Derive the maximum likelihood estimate of 𝜇 based on the data above.

The number of signicant gures in 0.00150 is: A. 2 B. 3 C. 4 D. 5 E. 6

A common way to represent a game in which two players have two strategies to choose from and play simultaneously or without knowing what the other has chosen to do, is:

A machine X costs rs. 5000. its maintenance cost is Rs. 1000 in each of first four years and then it increases by Rs. 200 every year. Assuming that the machine has no salvage value and the maintenance cost incurred in the beginning of each year , determine the optimal replacement time for the machine assuming that the time value of money is 10% pa.

Think about Frost’s poem “Mending Wall.” What does “Good fences make good neighbors” mean? Why does the speaker disagree with his neighbor about the fence?