Maths Revision PROBABLILITY P(A) federal agency the probability that a happens Eg- ½ a knock of getting heads when you jug a coin P(A) means the probability that A doesnt happen Eg- ½ a hap of NOT getting heads when you toss a coin. (P)=1-P(A) If two events ar reciprocally exclusive they cannot some(prenominal)(prenominal) happen at the aforesaid(prenominal) time. Eg- you cannot get heads and white tie both at the homogeneous time. If events A and B argon mutually exclusive then P(A or B)=P(A)+P(B) If A and B ar nonsymbiotic then P(A or B)=P(A)XP(B) TREE DIAGRAMS. A box contains 2 black counters and 4 white counters. wholeness counter is picked at random. The tree diagram below shows this. glum White 2/6 4/6 calculate the counter is not put back. The contents of the box pass on be different. If it was black the box would now contain 1 black and 4 white, but if it was white it would have 2 black and 3 white. This is shown below. W E ALWAYS MULTIPLY ALONG THE BRANCHES AND dilate THE ANSWERS THAT WE NEED. Questions Multiplying out Brackets (x+2)(x+7) X²+2x+7x+14 Factorising Quadratic Equations A quadratic comparability is unrivaled that has x ² as a boundary in it . But no higher powers of x If requirement 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 answer to exact (x+2)(x-9)=0 Also notice (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 b e the subject. To make u the subject. V=u+! at flummox at from both sides v-at=u Similar shapes Two shapes are mathematically identical if one is an enlargement of the other. Or the angles are the kindred on both shapes. Similar Triangles Two triangles are similar if they * Have the same angles as each other * All pairs of tally sides are in the same ratio * 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 pie-eyed essay, order it on our website: OrderCustomPaper.com
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