1.1 Counting
(a) Where in the world do we find some early evidence that people counted? (1)
(b) Approximately to what year does this evidence date back? (1)
(c) Give detail of how counting was done in the example which you chose. (2)
(c) Where in CAPS is this type of counting covered as a topic? (1)
Given that a = 3i - 5j, determine the angle vector a makes with the positive x-axis b. Given that c = 5i + 3j, d = 3i – 2j. Find the magnitude of (i) c + d (ii) c – d
Find the direction cosine (l, m, n) of vector r = 3i -2j + 6k b. Given that p = -12 and q = 1. Find a unit vector u such that │u│= 35 and u is the direction of p-3q 5 -1
Find the probanility of getting.
a.fewer than 4 head.
b.exactly 4 head.
C.not more than 4 head.
d.two or more heads.
5 Test the following numbers for divisibility by 6, 9 and 11. (Do not divide or factorise.)
a) 6 798 340
b) 54 786 978
How many different committees of 5people can be chosen from 10 people
one of the characteristics of binominal experiment is that each trial can result in two or more outcomes?
Let the probability that a successful rocket launching will be equal to 0.4. Find,
Average number of trials required for the successful rocket launching.
The probability that the successful launching will be made on the third attempt.
The probability that successful rocket launching requires less than 5 attempts.
if X~B(n₁ = 5, p = 1/4) and Y~B(n = 8, p = 1/4).Then what is the distribution of X+Y?
Simplify
1. p∧(p∧q)
2. ~ (~p∨q)
3. ~ (p⇒~q)