What happens when you put gasoline in your car? The gas is slowly burned. This burning powers the car, allowing you to drive. But once the gas is burned, it's gone forever.You need to keep putting more gas in your car in order to keep driving. One day.there will probably be no gasoline left. In other words.gasoline is a non- renewable resource. Thankfully, there are other types of energy that don't disappear forever once they're used.We call them renewable energy sources. They are good for the environment, and they often cost less money over time One example is solar energy, or energy from the sun. Special devices called solar panels can absorb the sun's light and turn it into electricity. The sun doesn't disappear when you use a solar panel, so solar energy is renewable. Another example is wind energy. A large device called a turbine spins when the wind blows. The spinning motion can be turned into electricity. Just like with the sun, you can't "use up" the wind The wind will keep blowing whether it hits a turbine or not. Therefore, wind energy is renewable too. Based on its use throughout the passago, a renowable energy source highight text A must be burned B can't be used up C comes from the sun D only powers cars

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?