Question
The mean weight of 24 men is 45
kg, while the mean weight of 18 women is 40 kg. Calculate the combined average weight of all the men and women together, rounding the result to two decimal places.Solution
ATQ, Sum of weights of each men = 24 × 45 = 1,080 kg Sum of weights of each women = 18 × 40 = 720 kg Required average weight = (1,080 + 720) ÷ (24 + 18) = (1,800/42) ~ 42.86 kg
- Find the maximum value of 14 sin A + 24 cos A. 
- If sec 2P = sin² 60⁰ + sec 60⁰ - cos² 30⁰, then determine the value of (√3tan P + cot² P)
- If √3 tan x = 3, then the value of x: 
 
- (1+sint)/(4-4sint)-(1-sint)/(4+4sint) =? 
 
- If (tan 8θ · tan 2θ = 1), then find the value of (tan 10θ). 
- Find the value of `1/2` cosec 10 - `2/(cosec 70)` ? 
- cos A (sec A – cos A) (cot A + tan A) = ? 
- If cosec (2A + B) = (2/√3) and cosec (A + B) = √2, then determine the value of (4A - B).