Math Answers

Write down all derangements of the set \left\{ a,b,c,d \right\} and show that the number of derangements is the same as predicted by the recurrence D(n) = (n - 1)(D(n - 2) + D(n - 1)) with initial values D(1) = 0 and D(2) = 1. Hint: a derangement is a permutation of an ordered set where no element is in the same place as before. Example: \left\{ b,a,d,c \right\} is a derangement of \left\{ a,b,c,d \right\} because all of the letters positions have changed.

Suppose the production cost is R293 250 computing component cost is R1035 labour cost is R4140 and the savings on reuseable material is R1725,determine number of devices produced

How can I use a venn diagram to represent (1,2,3,4,5) and (1,3,5)

Given the computed mean value, µ = 85 and the standard deviation, σ = 5, convert the following raw scores to its z-scores:

a.) x = 92

Odwa borrowed R500 from Luyanda four months ago and 700 nine months ago. He wants to liquidate these obligations with a single payment in 12 months time from now. If a simple interest rate of 11%per year, is charged on all the months, the amount he will oay luyanda in 12 months time is?

Let T : R4--> R4 be the linear transfoi-mation

defined by

T(x1, X2, X3, X4) = (— x2, X1, — x4, X3).

Check that T4 = I. Also, find the minimal

polynomial of T.

Suppose the production cost is R293 250 , computing components cost is R1035 , labour costs is R4140 and the savings on reusable material is R1725, what is the number of devices produced?

Find the minimum and maximum values of f(x,y,z)=8x^2-2y subject to x^2+y^2=1

Suppose the production cost is R18925, labour cost is and equipment renting fee is R250, determine the number of devices produced

In a Math test, the mean score is 45 and the standard deviation is 4. Assuming normality, what is the probability that a score picked at random will lie below 45