None of the old dreams had been abandoned The Republic of the Animals which Major had foretold when the green fields of England should be untrodden by human feet, was still believed in. Some day it was coming: it might not be soon, it might not be with in the lifetime of any animal now living but still it was coming. __ It might be that their lives were hard and that not all of their hopes had been fulfilled; but they were conscious that they were not as other animals. If they went hungry, it was not from feeding tyrannical human beings.if they worked hard, at least they worked for themselves . No creature among them went upon two legs. No creature called any other creature "Master." All animals were equal. -Animal Farm. George Orwell Which lines from the passage help develop dramatic irony? Check all that apply "the green fields of England' "It might be that their lives were hard . "They were conscious that they were not as other animals." "If they worked hard at least they worked for themselves." "All animals were equal.

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?