simultaneous equations with three variables and three equations

'>Framing of Formulae A formula is formed by using: (a) mathematical symbols and variables (b) given conditions, and (c) simplification. Indices If m is a positive integer, a x a x a .... m times is written as am. a is called the base and m is the power. We read it as "a raised to the pow..

The average age of employees in a firm is 35 years. Assume the variable is normally distributed. If the standard deviation is 3 years, then find the probability that the age of a randomly selected employee will be greater than 38 years. => 15.87% or 65.87% or 34.13% or 94.13%..

The university authorities wanted to estimate the average age of the students in their university by taking a random sample of 25 students. The standard deviation was found to be 3 years. Find the 95% confidence interval for the variance (σ 2 ) and standard deviation (σ). Assu..

In a two-way ANOVA, variable A has three levels and variable B has two levels. The number of data values in each group is five. Find the degrees of freedom for factor A × B and for the within (error) factor. => 2, 24 or 4, 3 or 2, 1 or 3, 2..

The means of each group of a two-way analysis of variance for two independent variables are plotted and shown in the three graphs. Which of these represents an ordinal interaction? Consider the interaction to be significant. => Graph 2 or Both graph 1 and graph 2 or Graph 3 or G..

Which of the following statement(s) is/are true? I. A multiple regression equation with three independent variables x 1 , x 2 and x 3 and one dependent variable would have the form y′ = a + b 1 x 1 + b 2 x 2 + b 3 x 3 . II. A multipl..

A function is described by the equation f ( x ) = 3 x + 5. The replacement set for the independent variable is {1, 2, 5, - 7}. Which of the following is contained in the corresponding set for the dependent variable? => - 1 or - 16 or 26 or - 8..

Evaluate the variable expression 3 a 3 + 7 - 19 , when a = 4. => 187 or 199 or 161 or 180..

Solve for the variable in the equation. 2 a = - 6 => - 8 or - 4 or - 3 or 3..

The average number of computer sales over a 2-month period is 86, with a variance of 36. The average of the commissions is $4,444 with a standard deviation of $888. Find the coefficient of variations of the two and state which is more variable. => 6.3%, 14.8%, commissions or 6.9..