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Let R be the relation on S = {1, 2, 3, 4, 5} defined by
R = {(1,3); (1, 1); (3, 1); (1, 2); (3, 3); (4, 4)}.
(b) Write down the matrix of R.
(c) Draw the digraph of R.
(d) Explain whether R is reáexive, irreáexive, symmetric, antisymmetric, transitive. Describe!
The production costs per week for generating x widgets is given by, C ( x ) = 500 + 350 x - 0.09 x 2 , 0 ≤ x ≤ 1000 Answer following questions. (a) What is the c
pam bought a new bedroom suit for $2588.she me a down payment of $188 and paid the remaining amount in 24 equal monthly payments .how much did she pay for each monthly payment.
Ratio of successes in 5 independent trials to the probability of successes in two independent trials is 1/4. What is the probability of 4 successes in 6 independent trials?
find the diameter of circle whose circumference is 26.51
nature of operation research
1. Suppose n ≡ 7 (mod 8). Show that n ≠ x 2 + y 2 + z 2 for any x, y, z ε Z. 2. Prove ∀n ε Z, that n is divisible by 9 if and only if the sum of its digits is divisible by 9.
a. Random or probability sampling methods they involve: Simple random sampling Systematic sampling Stratified sampling Multi stage sampling b.
let X be a nonempty set. let x belong to X. show that the collection l={ union subset of X : union = empty or belong U
(a) Assume that A is a m 1 ×m 2 matrix and B is a m 2 ×m 3 matrix. How many multiplications are required to calculate the matrix product AB? (b) Given that A 1 is a 20 × 50 m
Find out the roots of the following quadratic equation. 3x 2 + 7x = 0 Solution: Using Equation 6, one root is determined. x = 0 Using Equation 7, substitute the
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