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Prelim Revision. No 3. 1. Break the brackets: (x + 5)(x 2 – 3x + 5) 2. Calculate the standard deviation. 6 8 9 2 7. 3. If diameter = 26 cm, calculate x. 18 cm. x. 4. a) Calculate L CAB. C. 11cm. 8cm. B. A. 9cm. b) Calculate Area. 1. Break the brackets:
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Prelim Revision No 3
1. Break the brackets: (x + 5)(x2 – 3x + 5) 2. Calculate the standard deviation. 6 8 9 2 7
3. If diameter = 26 cm, calculate x 18 cm x
4. a) Calculate LCAB C 11cm 8cm B A 9cm b) Calculate Area
1. Break the brackets: (x+ 5)(x2 – 3x + 5) = x(x2 – 3x + 5) + 5(x2 – 3x + 5) = x3 – 3x2 + 5x + 5x2 – 15x + 25 = x3 + 2x2 – 10x + 25
2. Calculate the standard deviation. 2 ∑x2 – n – 1 (∑x)/n s = 2 6 8 9 2 7 32 234 / – 5 s = 4 n = 5 x x2 29.2 = 6 8 9 2 7 36 64 81 4 49 4 √ = 7.3 = 2.7 ∑x ∑x2 32 234
If diameter = 26 cm, calculate x 3. Diameter = 26 cm 13 18 cm 13 5 y x y2 = 132 – 52 = 144 y = √144 y = 12 x =2 X 12 = 24 cm
4. a) Calculate LCAB C 11cm 8cm x 80.40 B A 9cm CosA = b2 + c2 – a2 = 82 + 92 – 112 = 24 2bc 2 X 8 X 9 144 = 0.1667 A = 80.40 b) Area = ½ bcSinA = ½ X 8 X 9 X sin80.40 = 17.7cm2