Probability

Three balls are drawn at random from a bag containing 5 blue and 4 yellow balls. Let the random variables \(X\) and \(Y\) respectively denote the number of blue and yellow balls. If \(\bar{X}\) and \(\bar{Y}\) are the means of \(X\) and \(Y\) respectively, then \(7 \bar{X}+4 \bar{Y}\) is equal to ___________.