Math Answers

Mr. Rakib has two policies A & B for property X & Y. Solve the following problem under

two condition of average. Available information are as follows:

Policy :

A. Sum insured Tk. 1000 for property X&Y

B. Sum insured Tk. 650 for property X

Value of the property

Property X: Tk. 1000

Property Y: Tk.1000

Requirements: How following loss will be shared?

a) Loss of property X for Tk.750

b) Loss of Property Y for Tk. 900

In a shipment of 10 laptops, 3 are defective. If 3 laptops from this shipment are randomly selected and not replaced, what is the probability that all 3 are defective? Record your answer as a fraction in simplest form.

A warehouse has 6 different containers to be distributed among 10 retailers. In how many ways can this be done?

A loan of 10000 is to be repaid over 10 years by a level annuity payable monthly in arrears. The amount of the monthly payment is calculated on a basis od an interest rate of 1% per month effective,. For which monthly repayment the capital first exceeds the interest

Let us assume that we belong to a diversified investment is equally capitalised in default free acid and do securities if one of the securities has a systematic risk coefficient of .85 what must be the better for the other stock of the total portfolio risk and market risk is not different

The joint probability density function of 𝑋 and 𝑌 is given by 𝑓(𝑥, 𝑦) = { 𝑥 + 𝑦 3 0 ≤ 𝑥 ≤ 1, 0 ≤ 𝑦 ≤ 2 0 𝑒𝑙𝑠𝑒𝑤ℎ𝑒𝑟𝑒 Find the two lines of regression.

Find the solution of Non-exact D.E

Given:

(x+4y^3)dy-ydx=0

Find the solution of Bernoulli Equation

Given:

2xdy+y(y^2lnx-1)dx=0

Find the solution of Bernoulli Equation

Given:

dy+ydx=(2xy^2)e^xdx

Find the solution of Non-Exact D.E

Given:

(x+4y^3)dy-ydx=0