In a class of 10 boys and 15 girls, the average score in ...
In a class of 10 boys and 15 girls, the average score in a Biology test is 90. If the average score for the girls is x, find the average score for the boys in terms of x.
200−2x3
225−3x2
250−2x
250−3x
Correct answer is B
Let A and B be the sum for the boys and girls respectively.
A+B10+15=A+B25=90
⟹A+B=90×25=2250
Given the average for girls = x, we have \(\frac{B}{15} = x \implies B = 15x)
∴ average score for boys = \frac{2250 - 15x}{10}
= 225 - \frac{3x}{2}
If 2\sin^{2} \theta = 1 + \cos \theta, 0° \leq \theta \leq 90°, find the value of \(\the...
The probability that Kofi and Ama hit a target in a shooting competition are \frac{1}{6} and \(\...
Given that f : x \to \frac{2x - 1}{x + 2}, x \neq -2, find f^{-1}, the inverse of f ...
Simplify \frac{\log_{5} 8}{\log_{5} \sqrt{8}}....
If log_{10}(3x+1) + log_{10}4 = log_{10}(9x+2), find the value of x ...
A particle starts from rest and moves through a distance S = 12t^{2} - 2t^{3} metres in time t s...
The derivative of a function f with respect to x is given by \(f'(x) = 3x^{2} - \frac{4}{x^{5}}\...