Maths Revision PROBABLILITY P(A) means the hazard that a blow overs Eg- ½ a strike hard of getting heads when you jug a coin P(A) means the probability that A doesnt happen Eg- ½ a jeopardize of NOT getting heads when you regorge a coin. (P)=1-P(A) If two events argon reciprocally exclusive they can non two(prenominal)(prenominal)(prenominal) happen at the aforesaid(prenominal) time. Eg- you cannot get heads and tailcoat both at the alike time. If events A and B atomic number 18 mutually exclusive and accordingly P(A or B)=P(A)+P(B) If A and B be nonsymbiotic then P(A or B)=P(A)XP(B) TREE DIAGRAMS. A recess gestates 2 sullen replicas and 4 white counters. One counter is picked at random. The tree plot below shows this. Black White 2/6 4/6 cypher the counter is not put back. The contents of the encase bequeath be different. If it was black the box would now contain 1 black and 4 white, but if it was white it would take in 2 black and 3 white. This is shown below. WE ALWAYS MULTIPLY along THE BRANCHES AND amplify THE ANSWERS THAT WE NEED. Questions Multiplying out Brackets (x+2)(x+7) X²+2x+7x+14 Factorising Quadratic Equations A quadratic equation comparability is bingle that has x ² as a depot in it . But no higher powers of x If necessary re-arrange FIRST. Eg: * x(x-5)=2(x+9) * x²-5x=2x+18 * x²-7x=18 * x²-7x-18=0 then solve the equation.

* Factorise the dissolve to exact (x+2)(x-9)=0 Also bump (x+8)(x-8) x²+8x-8x-64 x²-64 So x can be equal to +2 or 9 changing the subject of a formula. What is the subject? V=u+at V would be the subject. To have got u the subject. V=u+at flummox at from both sides v-at=u Similar shapes Two shapes are mathematically uniform if one is an enlargement of the other. Or the angles are the same on both shapes. Similar Triangles Two triangles are similar if they * Have the same angles as each other * altogether pairs of tally sides are in the same proportion * Two pairs are in the same ratio and the angle between then is the same on both sides TRIGONOMETRY....If you want to get a affluent essay, order it on our website:
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