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If \(N = \begin{pmatrix} 3 & 5 & -4 \\ 6 & -3 & -5 \\ -2 & 2 & 1 \end{pmatrix}\), find \(|N|\).
If X, Y can take values from the set (1, 2, 3 ,4), find the probability that the product of X and Y is not greater than 6
Add 54 \(_{eight}\) and 67\(_{eight}\) giving your answers in base eight
From a point R, 300m north of P, a man walks eastwards to a place; Q which is 600m from P. Find the bearing of P from Q correct to the nearest degree
Simplify 25\(^{(\frac{1}{2}}\) × 8\(^{(\frac{-2}{3}}\)
Approximate 0.9875 to 1 decimal place.
Calculate the area of an equilateral triangle of side 8cm
Which one of the following gives the members of the set A1 n B n C?
A box contains two red balls and four blue balls. A ball is drawn at random from the box and then replaced before a second ball is drawn. Find the probability of drawing two red balls.
if y = 23\(_{five}\) + 101\(_{three}\) find y leaving your answer in base two
From a point P, Q is 5km due West and R is12km due South of Q. Find the distance between P and R.
Out of 7 consonants and 4 vowels, how many words of 3 consonants and 2 vowels can be formed?
Tossing a coin and rolling a die are two separate events. What is the probability of obtaining a tail on the coin and an even number on the die?
Evaluate ∫\(^2_1\) \(\frac{5}{x}\) dx
Calculate 243\(_{six}\) – 243\(_{five}\) expressing your answer in base 10
What is the modal age?
Find the average of the first four prime numbers greater than 10
Given that Sin (5\(_x\) − 28)\(^o\) = Cos(3\(_x\) − 50)\(^o\), o < x < 90\(^o\)
Find the value of x
What is the loci of a distance 4cm from a given point P?
The figure above is a Venn diagram showing the elements arranged within sets A,B,C,ε.
Use the figure to answer this question
What is n(A U B)1 ?