Read the paragraph about Chicago and the paragraph's central idea. Chicago is a windy Midwest city with a reputation for cold weather and warm pizza. Chicago's deep-dish pizza is famous worldwide . Chicago-style pizza was introduced by Uno's Pizza in the 1940s, and now the style is imitated from coast to coast. This style of pizza is characterized by a thick layer of dough with a "springy" texture. Central Idea: Chicago is recognized as the home of the famous deep-dish pizza. Which detail is most important to include in a summary of this paragraph? Chicago is a windy city located in the Midwest. Uno's Pizza in Chicago introduced deep-dish pizza. Deep-dish pizza is now served around the country. Chicago-style pizza has a thick dough with a springy texture.

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?