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If the true value for % K2CO3 in the sample is 90.00% , what is the average %Error?
5. Decompose
(i)
x2 +x +1
(x +3)(x2 −x +1)
(ii)
x4 −x3 −2x2 +4x +1
x (x −1)2
3. Find a polynomial, P(x), of degree 3 with zeros of 4,1 and −1, if P(0) = 8.
2. Let P (x) = 2x4 +15x3 +31x2 +20x +4
(a) Determine whether (x −1) is a factor of P (x). (2)
(b) Find all the possible rational zeros of P (x) by using the Rational Zeros Theorem. (2)
(c) Solve P (x) = 0
It has been reported that 70% of university students do volunteer work during their summer vacation. Four students are randomly selected to do volunteer work.
a. The probability that at least 1 student will do volunteer work this summer (correct to 3 decimal places) is
b. The probability that exactly 3 graduates will not do any volunteer work this summer (correct to 4 decimal places) is
c. The expected number of students (correct to 1 decimal place) who will not do volunteer work this summer is
Based on past experience, it is assumed that the number of flaws of per metre in rolls of wrapping paper follows a Poisson distribution with a mean of 2 flaws per 4 metres of paper. The probability (correct to 2 decimal places) that more than 2 flaws will be observed in 5 metres of wrapping paper produced is:
The population of a town grows at a rate proportional to the population present at time t. The initial population of 5000 increases by 50% in 10 years. What will be the population in 30 years?
A random sample of 11 observations was taken from normal population. The sample mean and
standard deviation are 74.5 and 9 accordingly. Can we infer at 5% significance level that the
population mean is greater than 70?
5. Repeat number 4 with assuming the population standard deviation = 9
Create a c++ program that counts and displays the odd and even numbers among the 10 input values.
Array: Use 3 separate arrays. First output displays the count and list of even and odd numbers. Next output says 'All numbers are even' and third says 'All numbers are odd'
50 ml of an alkaline water sample requires 3.7 ml of 0.02 N HCL upto phenolphthalein end point and 4.5 ml of complete Neutralization. Find the type and amount of alkalinity in water sample.
