Question

Calculati ma ponderata a nr 11/24 si 4/25 cu ponderile 2, respectiv 5.

Answer 1

Media aritmetica ponderata dintre 2 numere este:

$M_{ap} = \frac{ a_{1}* p_{1} + a_{2} * p_{2} }{ p_{1}+ p_{2} }$

$\frac{ \frac{11}{24}*2+ \frac{4}{25}*5 }{2+5} = \frac{ \frac{11}{12}+ \frac{4}{5} }{7} =( \frac{55}{60} + \frac{48}{60} )* \frac{1}{7} = \frac{103}{60} * \frac{1}{7} = \frac{103}{420}$