Correlation: Positive Correlation

Positive Correlation: Consider two variables, Price of a commodity and its demand. It is a familiar scenario we encounter that as the price of the commodity decreases, its demand increases and as the price of the commodity increases, mostly people would not like to buy that commodity in other words the demand decreases. So, we can say that these two variables are correlated or there is a Correlation between the two variables. In a different type of correlation like between the two variables; income earned by a person and expenditure, we can see that the two variables increase or decrease together.

 Like, as the income increases one tends to spend more and vice versa. This means, if the change in one variable is accompanied by the change in the other then we can say there exists a correlation between the two variables.  In simple words, Correlation tells the relationship between the two variables. It helps to understand whether the relationship between the variables is positive or negative and also the strength of the relationship. In the case of income of a person and the amount he spends or his expenditure, the relationship we see is that both rise or fall together in the same direction, that is both either increase or decrease together. This type of correlation is called Positive Correlation. In math statistics, the perfect positive correlation is represented by the value +1.00, which is the correlation coefficient.

Positive Correlation Definition: We can Define Positive Correlation as the direct relationship or association between two variables which is in the same direction. When one increases the other also increases or vice versa.  In statistics, a positive correlation is represented by a correlation coefficient which is between 0 and +1.

What is Positive Correlation
A Positive Correlation is a Correlation in which the greater values of one variable are associated with the greater values of the other and lower values of one variable are associated with the lower values of the other. The correlation coefficient of a positive correlation is between 0 and +1

Positive Correlation Examples
Let us consider some examples of Positive Correlation.
A person with more knowledge and degrees of education earns more income. So, we can say, if years of education and income earned are taken as two variables, then the correlation between them is a Positive correlation as the relationship is in the same direction.

There is a Positive Correlation between the amount of exercise one does and the calories he burn. The more exercise one does the more calories he burns and he is fit and healthy!

acute triangle problems

In this blog we will see how to solve acute triangle problems,

Example 2:

solve the example how to Identify the type of triangles?

The angles are

(a) 30° - 40° - 80°,

(b) 75° - 55° - 70°,

(c) 40° - 59° - 80°,this is an example of acute triangle problems

Solution:

(a) 30° - 40° - 80°,

following triangle is an acute triangle. all of the angles is below 90°.

(b) 75° - 55° - 70°,

following triangle is an acute triangle. all of the angles is below 90°.

(c) 40° - 59° - 80°,

following triangle is an acute triangle. all of the angles is below 90°.In the next blog we will learn about what is diameter of a circle, and standard form.

Hope you like the above example of acute triangle problems,please leave your comments if you have any doubts.

how to divide numbers

In this blog we will see an example of how to divide numbers,

How to divide, Division is the arithmetic operation one among 4 arithmetic operations and it is the inverse of multiplication.a divided by b equals c, written: a/b = c Its dented by (÷) or / Where: a is called the dividend, b the divisor c the quotient

Properties
1. Helps to solve many mathematical problems.
2. Concept of division is almost use in all parts of mathematics like derivatives, limits etc.
3. Division of matrices can be denoted as A/B = AB - 1
4. Division by zero is not defined.
5. Division by 1 will give answer dividend

How to divide

Example: How to divide 3 by 6?

Given: 3 divided by 6
Mode of operations: Division
3/6=1/2.

In the coming blog we will learn about how to divide fractions and statistics.

Hope you like the above example of how to divide numbers,please leave your comments if you have any doubts.

how to factor trinomials

In this blog we will learn about how to factor trinomials,we can understand this with the help of an example,

Factor trinomial calculator Method 1:

If the coefficient of x² is one. That is a=1.

x²+bx+c=(x-r₁)(x-r₂), In this r₁ and r₂ are the roots of the trinomial equation

(x - r₁) and (x - r₂) are the factors of the trinomial.

Example Problems:

The following problem will help you understand the factoring trinomial calculator method 1.

Example 1:

Find the factors of the following trinomial. x²- 10 x +16

Solution:

16 (product)

/ \

- 8 - 2

\ /

-10 (sum)

x²- 10 x +16 = x² - 2x - 8x +16

= x ( x-2 ) - 8( x-2 )

= ( x - 8 ) ( x - 2 )

So the factors of the given trinomial is (x-8) and (x-2).In the next blog we will learn about monomials and area of cirlce.

Hope you like the above example of how to factor trinomials,please leave your comments if you have any doubts.

Bar Graphs

Let us now learn about bar graphs,A bar chart or bar graph is a chart which represents blocks or some pic that depicts bars,these bars may even be plotted horizontally.Bar charts are used for plotting discrete (or 'discontinuous') information i.e. information which has discrete values and is not continuous. Some examples of discontinuous information include 'shoe size' or 'eye color', for which you would use a bar chart. In contrast, some examples of continuous information would be 'height' or 'weight'. A bar chart is useful in case you are trying to record sure information whether it is continuous or not continuous information.Let us now look at a bar graph examples,In the next blog we will learn about surd.
Hope you like the above example of Bar Graphs,please leave your comments if you have any doubts.

trigonometric identity

In arithmetic, trigonometric identities are equalities that involve trigonometric functions and are true for every single value of the occurring variables (see Identity (arithmetic)). Geometrically, these are identities involving definite functions of one or more angles. These are different from triangle identities, which are identities involving both angles and side lengths of a triangle. Only the former are covered in this editorial.This is a simple explanation of a trigonometric identity.
These identities are useful whenever expressions involving trigonometric functions require to be simplified.Now let us see decimal division.
In math decimal division , the basic & the standard division type is Long division.Using long division they can divide numbers with complex or multi-complex digit numbers.In the next blog we will learn about fractions.Hope you like the above example of trigonometric identity,please leave your comments if you have any doubts.

Linear programming examples

Let us now learn about Linear programming examples,solve the following linear programming problem graphically. Minimize z = 200x +500 y

subject to the constraints given as x + 2y ≥ 50

3x + 4y ≤ 90

x ≥ 0, y ≥ 0

Solution:

In the figure, the feasible region OABC is bounded. It is indicated as the shaded region in the following figure. This is the feasible region which is determined by the system of constraints given. Therefore, to find out the maximum value of z, we can use corner point method.

The corner point coordinates of O, A, B and C are (0, 5), (4, 3) and (0, 6) respectively. The next step is to calculate z value at each corner point.The standard form of the linear programming problem is used to develop the procedure for solving a general linear programming problems.

A general LPP is of the form
Max (or min) Z = c₁x₁ + c₂x₂ + … +c_nx_n
x₁, x₂, ....x_n are called decision variable.In the next blog we will learn about statistics,hope you like the above example of Linear programming examples,please leave your comments if you have any doubts.