The value \(x\) is:

From the passage: Three persons A, B and C were given a task, whose probabilities of com...

The probability that task is completed on time by at least one of them is:

If \(A = \begin{bmatrix}2&3\\-3&5\end{bmatrix}\), then which of the following statements are correct? A. \(A\) is a square matrix B. \(A^{-1}\) exists C. \(A\) is a symmetric matrix D. \(|A| = 19\) E. \(A\) is a null matrix Choose the correct answer from the options given below.

The number of all possible matrices of order \(2\times2\) with each entry 0 or 1 is

Three urns contain 6 red, 4 black; 4 red, 6 black and 5 red, 5 black marbles respectively. One of the urns is selected at random and a marble is drawn from it. If the marble drawn is red, then the probability that it is drawn from the first urn is

If \(y = \left(\frac{1}{x}\right)^x\), then the value of \(e^e\left(\frac{d^2y}{dx^2}\right)_{x=e}\) is:

\(\int x\sqrt{x + 2}\,dx\) is equal to:

The function \(f(x) = x^2 - 2x\) is strictly decreasing in the interval

The corner points of the feasible region for an L.P.P. are \((0, 10)\), \((5, 5)\), \((15, 15)\) and \((0, 20)\). If the objective function is \(z = px + qy\); \(p, q > 0\), then the condition on \(p\) and \(q\) so that the maximum of \(z\) occurs at \((15, 15)\) and \((0, 20)\)…