Math Answers

An element with mass 730 grams decays by 28.8% per minute. How much of the element is remaining after 10 minutes, to the nearest 10th of a gram?

A Average Senior high school annual cost of tuition fee for all private schools last year was php 43.700. a random sample of cost this year for 45 private schools indicated that the sample mean was 45,800 and a sample standard deviation was php5,600.at level of significance, is there sufficient evidence to conclude that the cost increased?

The function f(x)= [x]- x is not integrable in [ 0,3] , where [ x] denote greatest integer function.

True or false with full explanation

On 29 March 2022,Justin deposited 3500 into savings account.The simple interest rate agreed upon was7,5%per year.The accumulated amount in the savings on 10 october 2022 is

 From a box containing 4 black balls and 2 green balls, 3 balls are drawn in succession. Each ball is placed back in the box before the next draw was made. Let G be a random variable representing the number of green balls that occur. Find the values of the random variable G. 

If the equation (1-q+(p^2)/2)x^2+p(1+q)x+q(q-1) +((p^2)/2)=0 has two equal roots, prove that p^2=4q

A laboratory supervisor in hospital is investigating number of reported on-the-job training accidents over a period of one month. Based on past records, she has derived the following probability distribution for x; where x is the number of reported accidents per month. Find the mean

How large a sample should be taken to be 95% sure that the error of estimation does not exceed

0.2 unit when standard deviation is 5?

Qn 4. For a given angle θ, suppose that

sin2 θ + cos2 θ = 1 and cos2 θ − sin2 θ = cos 2θ.

2Derive an expression for cos 4θ in terms only of powers of cos θ

Qn 3. Consider a sequence {an}∞

n=0 of real numbers defined as follows:

a0 = 3, a1 = 2, a2 = 12, and

2an+3 − an+2 − 8an+1 + 4an = 0 for all n ≥ 0.

(i) What is a99?

(ii) Find a formula for 2a2n+1 − a2n in terms of n