simultaneous equations with three variables and three equations

Let X be a discrete random variable which can assume values x 1 , x 2 , x 3 ,x n with probabilities p 1 , p 2 , p 3 .. p n respectively then (a) Mean of X or expectation of X denoted by E(X) or m is given by (b) Variance of X denoted by s 2 is given ..

Two 6-sided dice are rolled simultaneously. List all the outcomes, where the sum of the two numbers is 5. => (0, 5), (5, 0) or (1, 4), (2, 3), (3, 2), (4, 1) or (0, 5) or None of the above..

Two 6-sided dice are rolled simultaneously. List all the outcomes, where the sum of the two numbers is 9. => (3, 6), (4, 5), (5, 4), (6, 3) or (2, 7), (7, 2) or (2, 7) or None of the above..

Two 6-sided dice are rolled simultaneously. List all the outcomes, where the sum of the two numbers is 9. => (2, 7), (7, 2) or (3, 6), (4, 5), (5, 4), (6, 3) or (2, 7) or None of the above..

Which of the following is simultaneously a natural number, a whole number, a rational number and an integer? => - 13 or - 9.5 or 5 7 or 3 6..

Which of the following represents a variable expression? => 5 - y or y ≥ 18 or 2 3 + 9 or y - 20 = 35..

A variable circle of radius 3 cm passes through a fixed point A. Which of the following is the locus of the center of the moving circle? => Figure 1 or Figure 2 or Figure 3 or Figure 4..

A coin is tossed and the number cube is rolled simultaneously. Find the probability of getting tail on the coin and number 5 on the cube using tree diagrams. => 3 12 or 5 12 or 2 12 or 1 12..

We have the following conditions on the variables x and y. a) Sum of the numbers is atleast 15 i.e., x + y 15 b) Difference of the numbers is at most 7 i.e., x - y 7 c) Since the x and y should be positive, we have two more conditions x > 0, y > 0 We call Z as objective function..

The height of 5 students are recorded as 4'3", 4'8", 5'1", 5'3" and 4'6". Which of the statements are correct? I. 4'8" is a data value. II. Variable in this case is height. III. Data set is 5. => I and II only or I and III only or II and III only or all the statements ..