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simplify the following ratios 1: 8: 27: 6
If there are 3 children in a family, what is the probability that it is a boy?
express (12/25+16/50)×(1-7/8) as a single simplified fraction
express -7/20 × 5/28 ÷ -2/16 as a single, simplified fraction
The verticles of triangle ABC are: A(-2, -2), B(-5,-4),C(4,1). Round your answer to the nearest tenth.

a. Find the perimeter of the triangle

B. Find the area of the triangle

C. Johnathon says the triangle is a right triangle.
Do you agree or disagree. Why or why not ?
: Prove without using truth table in three different ways : [ 15 marks ] ¬( p → q ) → ¬q ≡ T Q # 8 : Prove using logical equivalences : [ 15 marks ] (a) 1 → p ≡ p where p is any proposition. (b) p → 0 ≡ ¬p where p is any proposition. (c) ¬ (p ∨ ¬ (p ∧ q)) is a contradiction. Q # 9 : Determine whether the following expression has/have mistake(s).If they do , identify them and correct them.Remember there may be no mistake.If you say there is no mistake then prove it: [ 20 marks ] (a) p → q ≠ q → p (b) ¬( x y ) ( x y ) ∨ ∧ ∨ ≡ F (c) 0 → p ≡ 1 where p is any proposition. (d) p → T = T where p is any proposition.
you require 20 gel-ink pens, STORE XXX sells these pens at R9.50 each, while store YYY sells them at R10.00 each, but have 6% sale on all items. Further, store WWW sells these pen at the R19.00 each with a buy one get one free special, Finally store MMM sells the pen at R14.50 each with a third off the total price which store offers the best deal?
The power/exponent of (2^3)^4 i.e 2 to the power 3 whole raised to power 4, is what?
is it 3 or 4 or it will be taken as 12.
Let {bn} be a sequence such that bn = 1 + (1/n). Prove that inf(bn) = 1
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