A bag contains some red-colored and some blue-colored marbles. First a..
A bag contains some red-colored and some blue-colored marbles. First a red-colored marble is drawn and then, without replacing the first marble, a blue-colored marble is drawn. Are the two events dependent or independent? => Independent or Dependent..
Linear equations in two variables
Linear equations in two variables - A Linear equation is a first degree algebraic expression with one,two or more variables equated to a constant. Graphically a linear equation with one or two variables is a straight line whereas one with three variableh..
Variable mass systems
We know by Newton's laws that Consider the case of sand falling vertically on a horizontal conveyor belt moving at a velocity 'v'. The external force on the belt is in the direction of the velocity v. The mass of the belt is not considered as it is moving at constant v..
We know by Newton's laws that Consider the case of sand falling vertically on a horizontal conveyor belt moving at a velocity 'v'. The external force on the belt is in the direction of the velocity v. The mass of the belt is not considered as it is moving at constant v..Which of the following statement(s) is/are true?I. In linear regressio..
Which of the following statement(s) is/are true? I. In linear regression, the regression equation contains one independent variable and one dependent variable. II. In linear regression, the regression equation is written as y ′ = a + bx . III. In multip..
Jake works as a sales representative in a company. He earns $1,275 per..
Jake works as a sales representative in a company. He earns $1,275 per month plus an 8% commission on his total sales. Identify the dependent variable in Jake's situation. => initial salary per month or commission or number of hours working per day or total sales..
Graph of Linear Equation in one variable
ax + b = 0 is a linear equation in one variable. Consider the equation 2x + 4 = 0 2x = -4 x = -2 Since this equation is independent of y, for all values of y, x = -2 Hence x = -2 is a line parallel to the y-axis at x = -2. Consider the equation y - 5 = 0 y - 5 = 0 y = 5 Since th..
ax + b = 0 is a linear equation in one variable. Consider the equation 2x + 4 = 0 2x = -4 x = -2 Since this equation is independent of y, for all values of y, x = -2 Hence x = -2 is a line parallel to the y-axis at x = -2. Consider the equation y - 5 = 0 y - 5 = 0 y = 5 Since th..Summary Linear Equations in One Variable
A solution of a linear equation is the value of the variable which makes LHS = RHS. It is also called the "root" of the equation. A solution of a linear equation is the value of the variable which makes LHS = RHS. It is also called the "root" of the equation. To solve a li..
A solution of a linear equation is the value of the variable which makes LHS = RHS. It is also called the "root" of the equation. A solution of a linear equation is the value of the variable which makes LHS = RHS. It is also called the "root" of the equation. To solve a li..The basic assumption(s) for estimating the difference between two vari..
The basic assumption(s) for estimating the difference between two variances is/are: I. The samples must be dependent on each other. II. The samples must be independent of each other. III. The populations from which the samples were obtained must be normally distributed. IV. The ..
Which of the following statement(s) is/are true for correlation?I. If ..
Which of the following statement(s) is/are true for correlation? I. If the change in one variable affects a change in the other variable, the variables are said to be correlated. II. Correlation coefficient is independent of change of origin and scale. III. I..
Equilibrium Constant (Kc) From Nernst Equation
In the following cell, Zn (s)| ZnSO 4 (aq) || CuSO 4 (aq) |Cu(s) Electrons flow from the Zn to the Cu rod. 1) Zn from the Zn rod dissolves as Zn 2 + 2) Cu 2 + from CuSO 4 deposits on the Cu plate. The concentration of CuSO 4 decreases while that of ZnSO 4 increases. As electrode potential depe..
In the following cell, Zn (s)| ZnSO 4 (aq) || CuSO 4 (aq) |Cu(s) Electrons flow from the Zn to the Cu rod. 1) Zn from the Zn rod dissolves as Zn 2 + 2) Cu 2 + from CuSO 4 deposits on the Cu plate. The concentration of CuSO 4 decreases while that of ZnSO 4 increases. As electrode potential depe.. Result
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