Probability is an important topic in Math. It is important for students to understand the logic behind calculating probability and understanding the basics clearly. It will be easier for students to work problems under Math related to Probability thereon.
Probability means calculating the 'possibility' or the 'chances' of the occurrence of a particular or specific Event.
The Probability formula is given as the possibility of the occurrence of the particular event divided by the total number of possible outcomes .
P= P(E) / P(Total)
Example: Calculating the probability of the possibility of the occurrence of a Head when a coin is tossed once. It is given by
P(Heads) = 1/ 2
Where 2 gives the number of possible outcomes that is either Heads or Tail (1+1=2) .
Students can practice many problems which are available online. They can practice ample problems under Statistics which are related to computation of Probability.
Wednesday, December 29, 2010
SOLVING MATH EQUATIONS
Equations are an important topic under Algebra. Equations are those which have the a combination of expressions separated by an ' = ' sign.
Students often fumble with solving math equations. The methodology to learn and master solving equations is by understanding the logic involved and simultaneously practicing solving math problems on equations. Students can do so by observing solved examples on working with equations and attempting similar math problems.
There are different kinds of equations based on the exponential value or the 'power' to which the variables are raised to as:
Students often fumble with solving math equations. The methodology to learn and master solving equations is by understanding the logic involved and simultaneously practicing solving math problems on equations. Students can do so by observing solved examples on working with equations and attempting similar math problems.
There are different kinds of equations based on the exponential value or the 'power' to which the variables are raised to as:
- Linear equations
- Differential Equations
- Quadratic equations
- Radical equations
- Parabola and Hyperbola equations
Thursday, November 11, 2010
Units of time
Unit of time: Unit of time is a unit of measuring time period.Second, minute and hour are units of time.
The second is the duration of 9 192 631 770 periods of the radiation which is corresponding to the transition between the two hyperfine levels of the ground state of the cesium 133 atom.
Minute:
The minute is a unit of time equal to 1/60th of an hour or 60 seconds.A minute occasionally has 59 or 61 seconds; see leap second in the UTC scale of time. The minute is accepted for use with SI units.'min' is used as the symbol of minute.
Hour:
An hour is a unit of measurement of time of the duration of 60 minutes, or 3600 seconds.1/24 of a median Earth day is an hour. Time standard can also include a negative or positive leap second,and may therefore have a duration of 3599 or 3601seconds for adjustment purposes.
You can also check out the link on history of measurement.
If you want to give any comments or suggestions, go to tutorvista reviews
Next time we will learn in details to know about the units of duration of time.
Tuesday, November 9, 2010
Conic sections
In Mathematics, a conic is a curve obtained by intersecting a cone and a plane.There are three types of conics - ellipse, parabola and hyperbola.
The graph of a quadratic equation in two variables is always a conic section in a cartesian coordinate system though it may be degenerate, and all conic sections arise in this way. The equation will be of the form
Ax^2 + Bxy + Cy^2 + Dx +Ey + F = 0 with A,B and C not all zero.
Conic section equation:If the focus is(
) and the directrix is ax+by+c=0 then the equation of the conic section whose eccentricity =e is given as
(x−)2+(y−)2=e2 .(ax + by + c)^2/(a^2 + b^2)
The graph of a quadratic equation in two variables is always a conic section in a cartesian coordinate system though it may be degenerate, and all conic sections arise in this way. The equation will be of the form
Ax^2 + Bxy + Cy^2 + Dx +Ey + F = 0 with A,B and C not all zero.
Conic section equation:If the focus is
))2+(y−)2=e2Tangent
Definition of tangent:
A tangent to a curve at a point is a straight line that touches the curve at that point.
Equation of the tangent to a curve:
y = mx + c
Example of tangent:
The line AB is a tangent to the circle at point P.
A tangent line to a circle contains exactly one point of the circle.A tangent to a circle is at right angles to the radius of the circle at its point of contact.
Monday, November 8, 2010
Finding percentages
In mathematics, a percentage expresses a number as a fraction of 100.
How to calculate percentages?
To find the percentage that a single unit represents out of a whole of N units, divide 100% by N.In finding the percentage of a percentage, convert both percentages to fractions of 100, or to decimals, and multiply them.
we have three important terms to define while finding percentages:
Rate: The rate is the percentPercentage: The result obtained when a number is multiplied by a percent
Base: The base is the total amount.
Dividing decimals
To divide decimal numbers:
1)If the divisor is not a whole number, decimal point should be moved to the right to make it a whole number and move decimal point in dividend the same number of places.
2)Keep dividing until the answer terminates or repeats
3) Put decimal point directly above decimal point in the dividend.
4)Multiply quotient by divisor and check if it is equal to dividend.
In free math help, ‘divide’ means making a number into as many equal portions as possible or dividing the number into as many equal portions as possible. It is opposite process of multiplication.
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