joint probability density function

We have already worked on how to do probability problems isn't it? We solved many probability problems, probability quiz and many things in probability.

I have worked on various problems till date, you will have to look for my previous post which is related to probability to understand the concept of the day. I have tried to increase your knowledge in probability.

Lets work on joint probability density function below.

Joint probability density is said to be method of learning the random variable of the probability density function. If the variables A and B are random variables and it has a probability density function.

Here you have read joint probability density function and we will work on problems related to it.

Also you can follow my blogs for volume formula. I hope this was useful.

simplest form calculator

Today guys i have a simple definition for simplest form calculator, check out...

Simplest form calculator is used to calculate the equations or quantitative values in simplest modify. Using the simplest work expert, essential arithmetic fractions can be done. These calculators are very effectual for solving slaty cipher problems. The simplest form calculator calculates the answer and displays it.

Find an example below.

Example 1:

Solve the fraction, 4/9 + 2/9

Solution:

In this given problem the denominators are same; hence just perform the addition operation.

= 4/8+ 2/9

= 4+2/9

= 6/9

Simplify it,

= 2/3

The answer is 2/3 .

I will come back with factoring polynomials calculator shortly...

Also you can follow my blogs for Free algebra answers. I hope this was useful.

Blank number lines

Lets look at how useful is blank number lines in mathematics. We have worked on various numbers right?

How useful is blank number line? Look below for the answers.

1. Blank number lines are used in various ways, like they are used to teach children arithmetic operations like addition and subtraction.
2. It is used to teach them " in between numbers". It helps children to learn the distance between two end points.
3. Blank number lines are used to mar negative and positive distance and to count on them.
4. Here zero is the origin and it contains both positive integers and negative integers.
5. In blank number line we have zero as the origin, positive numbers are towards the right side of zero and negative integers are to the left side.

We will work on rational numbers examples in our next post until then keep smiling:-)

Also you can follow my blogs for pre algebra tutoring. I hope this was useful.

Good comments for math

After we worked on fraction adding the comments i received was great. Many of you said that the examples which i gave were good. The same comments i received when i worked on the suggestion i gave you for getting math homework help.

Some of you even said that you guys think of opening your school books and studying math now after reading my post..that was a very good compliment to me...thank you guys for reading my post on a daily basis.

I will post some useful concept for my 4 grade math students which will also be very informative.

Also you can follow my blogs for Precalculus Help. I hope this was useful.

Math help to all grades

Guys i have solved various 8th grade math problems in my previous post and many of you sent the comment that the post was very useful. Guys do you all know that mathematics is a subject which you will have to practice and understand the mathematical concept.

I have seen various methods of learning math. Some of us learn it at school or college when our teachers teach us. Some of us learn it by practicing it by ourselves. Some of us learn it with the help of some tutoring services online.

These online services give us the new method of teaching. They use the technology to their best. TI admire there graph pictures they use to teach us graph or the different types of graphs we learn. Thanks to the latest technology.

Also you can follow my blogs for math answers. I hope this was useful.

Saxon math

I have a different topic today called saxon math, now lets look at it in more details.

Introduction of saxon math:- Saxon math calculus deals with solving basic calculus issues for check preparation. Most of the Saxon’s math book deals with solving check issues for examination preparation. Saxon’s Calculus chiefly deals with the differentiation of functions with one or more variables. Calculus can be divided in to two parts namely differential Calculus & integral Calculus. Mostly Saxon’s calculus check involves in solving differential problems.

I came across another unusual topic in mathematics, which i think you all will enjoy. How about eastern mathematics, but you will have to wait to know the details. I will come back.

Also you can follow my blogs for solve math problems. I hope this was useful.

College algebra

Our college friends need online algebra help as it is not an easy concept for them. These online help given to the students cover up the basic concept of the subject, they help us with homework help, and all sort of help which is needed to understand the subject.

All subjects free homework help is given to students when its required. I can say this so confidently because i have got Free online algebra 2 help when i really needed it. Go ahead and get help yourself.

Also you can follow my blogs for algebra 1 help free. I hope this was useful.

solve algebra 1 answers

When our school teacher gives us some problems and say solve algebra 1 answers can we do it? That's not possible until we get to know the concept of algebra 1 problems. We have to understand what she is trying to make us understand and then solve these problems carefully with concentration.

In my earlier post when i was explaining about greater sign than, i used a frog to explain this concept and made it interesting and many of you liked it and sent me good comments on this. I thank you guys for this.

There are many guys who look for algebra 1 homework help free help and believe me its great. Look at algebra 1 problems online and work on these problems.

Also you can follow my blogs for algebra 1 tutoring. I hope this was useful.

congruent figures

Two figures are said to be congruent figures to each other. Come on before we start discussion on this topic can any body tell me the uses of geometrical instruments when you construct any geometrical shape.

Coming back to the topic, Congruent figure is called congruent only if on side is placed one over the other, they exactly coincide. Congruent figures are same in size and shape both. Two circles are always congruent to each other. In the congruent triangles, the sides and the angle that coincide by superposition are called . If two line are same in size they are congruent.

Example look at the chocolate piece kept in front of you, don't you think it will be the same if you just cut it into piece and keep it on top of it.
Guys this concept will help all your online taks test. So work hard guys come lets practice..

Also you can follow my blogs for help fractions fraction calculator. I hope this was useful.

Sphere

Guys how many of you like geometry? Can any body tell me who is the father of geometry? There are many unlimited topics which i have been working on geometry each and every day. This will tell you how important is studying geometry.

Do you know what is the formula to find the circumference of a Sphere this is the topic of the day guys....

To learn the circumference of the sphere, you will have to know the different parts of the circle better. The circumference of a sphere is the space around a circle, now look for the formula to find the circumference of a sphere below.

The formula for circumference of sphere is 2 * π *Radius.

Now will you be able to find the circumference of a sphere if your teachers ask you to do so..Yes, you will be able to but practice more and more.

Also you can follow my blogs for pre algebra. I hope this was useful.

Composite numbers

We work on numbers so far, lets learn what is a composite number. A very easy and a basic mathematics concept and as interesting as we worked on what is a whole number.

What is a Composite number :- Composite number is a positive integer which is divisible by other number and by itself.Composite numbers have factors other than1and itself Except the 25 prime numbers between 1 to 100 all the other numbers are composite numbers.

I have covered up with numbers such as prime numbers, whole numbers and now with composite numbers. Do you have any other topics to be covered let me know that.

I just want to know if my grade 6 math friends need any help in any topics?

Also you can follow my blogs for math practice test. I hope this was useful.

Roman number

This is a continuous discussion on numeral most commonly used we have already worked on this earlier too it is Roman numeral system. You remember right.... lets work on it with more details.

Hundreds years back Roman Empire had used different symbols for counting numbers which are being used even today. This number system is called Roman numeral number system. Roman numeral number system is formed by using only seven symbols that is given below.

Hindu Arabic Values	1	5	10	50	100	500	1000
Roman Numerals	1	V	X	L	C	D	M

Look at the picture of the clock above, it has roman numerals in it. It is normally used in many clocks worldwide. I have a simple problem which will help you in addition of the roman numbers or numerals.

Addition Rule: When a smaller number is written on the right of a bigger number, the smaller number is added to the bigger number.

Examples: V111 = 5 + 1 + 1+1 = 8

XX11 = 10 + 10 + 1 + 1 = 23

CX X = 100 +10 + 10 = 120

With many more such examples i will come back. Guys practice as much as you can irrespective to any subject and topic. You never know knowledge from study will make wonders....

Also you can follow my blogs for Statistics help online. I hope this was useful.

Angle of Intersection between Curves Solved Problems

After learning on angles, triangles and many more geometrical shapes, i felt we should go to the depth of it i mean lets learn more deep of geometry. Lets Solved example on Angle of Intersection between Curves this is the topic for the day. Look into it below and give me your comments. So lets begin the journey.........


Know what is angle before you start understanding this concept. What is intersecting firstly? Can anybody tell me that?

Well, When two lines meet each other at single point they are said to be intersecting each other. Look below for Solving Angle of Intersection between Curves and work on them.

Find the intersection point of curves 3x + 4y = 18 and 2x - 4y = - 8

Solution:

Let the two curves be 3x + 4y = 18 and 2x - 4y = - 8

Solving above two equations we get,

3x + 4y = 18

2x - 4y = - 8

5x = 10 By adding above equations

x = 10/5 = 2

x = 2

3 ( 2 ) + 4y = 18

6 + 4y = 18

4y = 18 - 6 = 12

y = 12/4

y = 3

Therefore, the intersection point of curves are x = 2 and y = 3.

We will work on more topics and enjoy these concept....

Also you can follow my blogs for online statistics tutor. I hope this was useful.

Help on Surds

Guys, the topic for the day is a bit different compared to that i do everyday. It is called Surds. First i will give you a brief information on what are surds and also discuss on how to add surds. I have explained regarding how to do surds in my previous post, check that once and increase your knowledge on surds.

Definition of Surd:- Surds are numbers which are left in the form of Square root. An irrational root of a positive rational number is called a surd. The reason for leaving them behind as surd is because in decimal form they go on forever and never end.

We leave surds in the form of decimal as they go on continuing or go on forever, this makes it difficult to write.

How to add Surds.

Addition of surds can be done only if the surds are of the same order. The radicals should also be the same.

Example of addition of surds:-

√5+√3=√8

There are many more concepts to be discussed on surds math problems which i will do it in every post coming up. Give me your views on this.

Also you can follow my blogs for free algebra 1 help. I hope this was useful.

Polynomials

We have worked on for monomials in my previous post, today lets work on the introduction of Polynomials. We will learn on how to solve polynomials in my next post. This is a informative topic, and i am sure you will enjoy working on it as well.

Introduction of Polynomials:-

Its an algebraic expression which the variables have only non negative powers using the operations of addition, subtraction, multiplication.

Addition and subtraction of two polynomials mean like terms. Multiplication and division also can be performed.

There are various methods of factorizing a polynomial. They are,

1. Factorization by dividing the expression by the HCF of the terms of

the given expression.

2. Factorization by grouping the terms of the expression.

3. Factorization using identities.

Example of Polynomials are as mentioned below.

P(x) =9x⁵ + 7x⁴ + 2x³ + 6x² + 6x + 1

G(x) =19x + 45

I will work more on this in my next post, watch for more information on polynomials. Give me your feedback on this post as well.

Also you can follow my blogs for Precalculus Problems. I hope this was useful.

Addition and subtraction of monomials

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We been doing additional, subtraction right, today lets try the same on monomials. Lets solve a few problem of addition and subtraction of monomials. Do you remember my last post on monomials? I had given you the definition of a monomials.

Monomials:- In algebra a monomial contains combination of numbers, variable and exponents. For more details on monomials, you can go through my last post, as i have given you the definition of monomials in it. The algebraic terms are separated by add sign or sub sign. Eg:- 4xy, -3y etc...

Now lets use addition and subtraction to solve a monomial problem.

When monomial have the same variable and the same exponent, they are called as like term. Addition and subtraction of monomials are done by combining this like term. Lets look at the example below.
Adding monomials:
Problem 1: Add the given monomials terms by using the steps, (- 4ab) + (6ab)
Solution:
Step 1: Write the given terms for monomials,
(- 4ab) + (6ab)
Step 2: By using the signs we have to add the co-efficient.
2ab
This is the required solution for the addition of monomials.
Subtracting monomials:
Problem 2: Subtract the given monomials terms by using the steps, (- 5a) - (- 3a)
Solution:
Step 1: Write the given terms for monomials,
(- 5a) - (- 3a)
Step 2: By using the signs we have to subtract the co-efficient.
-2a
This covers up addition and subtraction of monomials, in my next post i will give you details on division and multiplication. I would remind you again...Friends, please your comments on this
Also you can follow my blogs for Pre calculus Tutorials. I hope this was useful.

Rational Numbers

We are familiar with the word number, we use it more than a hundred times in our day to day life, lets learn on different types of number that is rational number. Have you heard of the term rational number?

Below you will find the definition of the term rational number and following will be an example of a rational number.

Definition of a Rational number:- Numbers that are expressed in fraction is called as a rational number. Any number which can be expressed as quotient of two integers is called as rational number. The denominator is not equal to zero. Eg:- x/y here y is not equal to zero, it may be equal to 1. Every integers is a rational number.

Let us solve a problem on rational number below.

Problem No1:

Find a rational number between two rational numbers

To obtain the required number, add numerators and denominators as shown below:

Ans:

Here we come to an end of this informative post on rational numbers, i will come up with many more interesting topic in future. Let me know how interesting you found this post. :-)

Solved problem on prime factorization

We been discussing on definitions and examples in most of my posts, today lets do something different. Today lets solve some problems on prime factorization.

1) Solve the prime factorization of 147

Answer:

3x3x7= 3x7²

2) Solve the prime factorization of 60

Answer: 2 × 3 × 5

3) Solve the prime factorization of 147.

Answer: 3 ×7 × 7 = 3 × 7²

^{4) Solve the prime factorization of 78}

^{Answer: 2} × ³ × ¹³

^{5) Solve the prime factorization of 330.}

Answer: 2 × 3 × 5 × 11

We have learn t how to factorize using small numbers and we have a few solved problems on prime factorization. This is a very useful topic for 6th and 7th grade, let me know your comments.