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d - 6> -4 d > -4 +6 d > 2
If x, y are in HP than 1/x, 1/y are in AP. AM = (x+y)/2xy. HM = 1/AM = 2xy/(x+y) = 9. Similarly, AM = (1/x + 1/y + 1/2x + 1/2y)/4 AM = 3(x+y)/8xy HM = 4*2xy/3(x+y) = 4/3 * 2xy/(x+y) HM = 4/3 * 9 = 12
Let weight of smaller piece be x. Larger = x + 0.9 ATQ, x + x + 0.9 = 2.5 2x = 1.6 x = 0.8 Larger = 0.9 + 0.8 = 1.7 carats
Sum = Average (Arithmetic Mean) * No of observation Sum_1 = 20*4 = 80 Sum_2 = 10*6 = 60 Sum = 80 + 60 = 140 Average = 140/10 = 14
In first case, displacement is 5 km ( by Pythagoras theorem). In second case, cosine rule x^2 = 3^2 + 4^2 - 2*3*4*cos120 x^2 = 25 + 12 x = √37
Harmful cannot be described without quantity. a major dose of caffeine can be very harmful and a minimum dose may actually be good for your mind and body. Tannins is much harmful
Total student = 1000 Gone to trip = 300 Remains = 700 % = 700*100/1000 = 70%

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