independent and dependent in math

If two events E 1 and E 2 can occur independently in exactly m ways and n ways respectively, then either of the two events can occur in (m + n) way..

Consider the homogeneous equations a 1 x + b 1 y + c 1 z = 0 a 2 x + b 2 y + c 2 z = 0 a 3 x + b 3 y + c 3 z = 0 The homogenous system of equations is always consistent because x = 0, y = 0, z = 0 satisfies all the equations in the system. This solution is called the trivial solution. then the s..

Events are said to be independent if the occurrence of one event does not affect the occurrence of others. Observe in case(a) of above example, The probability of getting a white ball in the second draw does not depend on the occurrence of the event on the first draw. However i..

Determine graphically whether the system of equations x = 5 and y = 8 is consistent and dependent, consistent and independent or inconsistent. => consistent and dependent or consistent and independent or cannot be determined or inconsistent..

Solve the system of equations. Determine whether the system is consistent and independent, consistent and dependent, or inconsistent by using augmented matrices. x + 4 y = 8 4 x + 16 y = 5 => (- 8, - 27); consistent and dependent or (8, - 27); consistent and indep..

Are the two events dependent or independent? 1. Tossing a coin. 2. Rolling a dice. => Independent or Dependent..

Which of the following statement(s) is/are true? I. If the correlation coefficient is significant, the equation of the regression line cannot be determined. II. The values of the dependent variable can be predicted for the values of the independent variable using the regression ..

Are the two events dependent or independent? 1.Choosing a milk bottle from the fridge. 2.Choosing a soft drink bottle from the fridge. => Independent or Dependent..

Are the two events dependent or independent? 1. Drawing a king from a pack of cards without replacing it. 2. Again drawing another king. => Dependent or Independent..

Solve the system of equations. 3 x + 4 y = 8 x - 6 y = 10 Determine whether the system is consistent and independent, consistent and dependent, or inconsistent by using augmented matrices. => (4, - 1); consistent and independent or (0, 0); inconsistent or (4, 1); consi..