Ogive Graph

Let us learn about Ogive Graph

A roundly tapered end of a 2 dimensional object is called as Ogive. Ogive is also represented as pointed arch. Ogive can plot the upper class boundary of a cumulative frequency joined by segments. A cumulative frequency of polygon with any continuous cumulative frequency is called an ogive graph. Cumulative frequencies of an ogive graph have abscissas with actual lower limits & upper limits. Ogive can be more or less than the curve. A distribution curve in which the frequencies are cumulative is called Ogive

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substitution method

Let us learn about substitution method

Substitution method is used to solve systems of equation. In there, you have two unknown variables. You solve 2 unknown variables using substitution method. Substitution method is used to find unknown variables for word problems.

1^st: we isolate anyone variable from any1 equation & then we can substitute that into another equation.

2^nd:.Solve for that variable.

3^rd: Then we substitute the value of the variable in any 1 original equation, solve for another variable.

Substitution method is used some methods to solving simultaneous linear equations.

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how to solve quadratic equations

Let us learn how to solve quadratic equations.

Problem 1.

Solve the quadratic equations: x² – x – 132 = 0

Solution:

We find –132 = (–12) × (11), (–12) + 11 = –1.

Hence we get x² – x – 132 = [x + (–12)] (x + 11) = (x – 12) (x + 11)=0

X= 12, -11

Problem 1:

Solve the equation: 15 – 2x – x²=0

Solution:

Writing in the standard form,

15 – 2x – x² = –x² – 2x + 15

= (–1) (x² + 2x – 15).

Here, we find –15 = 5 × –3, 5 + (–3) = 2

Hence, we get 15 – 2x – x² = (–1) [(x+5) {x + (–3)}]

(–1) (x +5)(x – 3) = 0

(x + 5) (3 – x). = 0

X= -5,-3

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math help online

Hi Friends!!!


Yesterday my sister taught me how to get math help online.

Its very easy and flexible and even a hardest math problem can be solved with a fraction of second.

It is helping me to improve my computer skills as well.

learning online helps in improving academic performance

Math experts ( tutors) will give you quick solution for your queries

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ogive

Let us learn about ogive

An ogive is completely plotted and results in a two-dimensional or three-dimensional illustration. Acquisition ogive is the incomparable victimized when you would like to display the healthy at any specified soul. A front is not the nonesuch aware for display resemblances between categories because it but connects the values in each family and quantity out an accruement, it is a growing or diminishing numerate.

An ogive or a cumulative frequency curve is a’s’ molded flex. Points on the ogive human abscissas as the formed stimulant or lour limits for lower than or author than kink and ordinates as the additive frequencies.

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solving ratio and proportion

Let us learn about Ratio and Proportion

Study of ratio and proportion are one of the water portions for science. Here, the ratios are utilized to reflect the relation between the two numbers given. For scrutiny two numbers presumption, we have to use this ratios. Proportions are mainly utilized for examination the two quantities. A math ratio is a likeness of two drawing. We usually separate the two numbers in the ratio with a colon (:). Speculate we impoverishment to correspond the ratio of 8 and 12.

We can correspond this as 8:12 or as a calculate 8/12, and we say the ratio is eight to twelve l. The symbol used for the arrangement are " " .And the symbolization used for ratio is ":" A balance is an leveling with a ratio on apiece take. It is a evidence that two ratios are coequal. 3/4 = 6/8 is an representative of a proportionality.

solving ratio and proportion

Divide $.142.10 between A and B in the ratio 1/3 : 1/4

Sol. Total amount to be divided = $ 142.10

A : B

1/3 : 1/4

1/3 * 12 : 1/4 * 12 [ L.C.M of 3 and 4 = 12]

4 : 3

sum of ratio = 4+ 3 =7

A'share = 4/7 * 142.10

= 4 * 20.30 = $81.20

B'share= 3/7 * 142.10

= 3* 20.30 = $60.90

A'share = $ 81.20

B'share =$60.90

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algebra 2 answers free

Hi Friends!!!

In our last blog we solved algebra 2 answers.

In constituent to providing the answers, algebra 2 answers solved provides all the steps and explanations needed to figure your problems, allowing you to end your assignments speedily patch dramatically rising your grades. With otherwise puissant features including numberless instance problems, implementation tests, move following, and a math document specialiser, algebra 2 answers resolved provides the tools you necessary to succeed in algebra 2 answers free.

If you want to learn more on algebra 2 problems online you can click the given link.

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superposing a triangle on a triangle

Welcome to free online math help,
It is not entirely clear what is meant by "superposing a triangle on a triangle" means. It has been variously interpreted as actually moving one triangle to cover the other or as simply associating parts of one triangle with parts of the other. For the two triangles illustrated in the figure, you can actually slide one over the other in a continuous motion within the plane. Note, however, that if one triangle is the mirror image of the other, then any continuous motion would require moving one triangle outside of the plane. examples on math helper; But the triangles don't have to be same plane to begin with, and they often are not in the same plane when this proposition is invoked in the books on solid geometry.

Whatever the intended meaning of superposition may be, there are no postulates to allow any conclusions based on superposition. One possibility is to add postulates based on a group of transformations of space, or if restricted to plane geometry, on a group of transformations of the plane. Charles Dodgson (a.k.a. Lewis Carroll) would have said that using group theory is not appropriate to an elementary exposition of Euclidean geometry. Heath has described a more elementary conservative basis in his commentary on this proposition. learn more on free math tutoring.

abstract algebra

Welcome to free math tutoring,

In modern mathematics, axioms such as these would form the basis of an abstract algebra. Typically a presentation is given symbolically and in terms of set theory, although the set theory isn't necessary. examples given in free math; Here is an outline for a presentation for magnitudes. This outline doesn't have many of the details that would normally be included.

First, assume there is a binary relation on a set of magnitudes of the same kind called equality, denoted as usual with an equal sign as in x = y. (This equality is not identity as we want different magnitudes, such as two different triangles, to be equal. Alternatively, we could identify equal magnitudes so that equality is identity.) read more on online math forum.

Bisecting circles

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The diameters "also bisects the circle" should not be part of the definition, but either assumed as a postulate or proved as a proposition. It depends on the fact that circles are drawn on planes, and planes have constant curvature. examples on math forum; The analogous figure on a surface of nonconstant curvature does not have this property. For such figures the two "semicircles" on either side of a "diameter" need not be equal.

Although circles are used throughout Book I, the proper theory of circles doesn't begin until Book III. That book begins with more definitions relating to circles including the equality of circles, when circles touch (are tangent to) lines and other circles, and so forth. more examples on online math forum.

Angle element

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The concept of angle is a very important concept for all of Greek geometry. Many of the propositions require angles even for their statements.

The two lines are meant to emanate from the same point; two intersecting lines will actually make four angles.

The concept is also a difficult one, and, surprisingly, broader than our modern concept of angle.

As can be seen from the next definition of rectilinear angle, online math forum ; angles do not have to have straight sides; they can have curves as sides. The size of the angle does not depend on the length of the sides, but is determined only by how the two sides meet. In the Elements nearly all the angles are rectilinear, but angles with curved sides appear in proposition. continue reading on math forum.

Geometry Elements

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The Elements is the prime example of an axiomatic system from the ancient world. Its form has shaped centuries of mathematics. An axiomatic system should begin with a list of the terms that it will use. This definition says that one term that will be used is that of point. The next few definitions give some more terms that will be used. Although there is some description to go along with the terms, examples on math helper ; that description is actually never used in the exposition of the axiomatic system. It can, at most, be used to orient the reader.

The description of a point, "that which has no part," indicates that Euclid will be treating a point as having no width, length, or breadth, but as an indivisible location.

Later definitions will define terms by means of terms defined before them, but the first few terms in the Elements are not defined by means of other terms; they're "primitive" terms. Their meaning comes from properties about them that are assumed later in axioms. In the Elements, the axioms come in two kinds: postulates and common notions. The first postulate, I.Post.1, for instance, gives some meaning to the term "point." It states that a straight line may be drawn between any two points. Other postulates add more meaning to the term "point." more on math help.

Unproven math

Welcome to math help com,

Yes, there are certainly things in
mathematics that are unproven, and these generally fall into three
categories:

(1) Simple statements that we accept without proof;

(2) Statements that we simply haven't been smart enough to prove or
disprove yet;

(3) Statements that cannot be proven true or false.

Statements of type (1) are called "axioms," and they're the
fundamental building blocks of mathematics. examples on help in math;
They're obvious statements
like "1 is not equal to 0," or "given two points, exactly one line
goes through them." If we accept these basic statements as our
foundation, we can prove all other provable results from them.

So in a
sense, unproven statements are right at the heart of mathematical
thought. In fact, mathematics _never_ says anything is true - it only
says that certain things are true IF you accept the basic axioms. This
isn't really a problem, since the axioms are usually so obvious that
most people accept them without qualms. learn more on online math forum.

TEN COMMANDMENTS of Math

Welcome to free math tutoring,

Thou shalt read thy problem...carefully.

2. Whatsoever thou doest to one side of thy equation, do ye also to
the other.

3. Thou must use thy "common sense", else thou wilt have flagpoles
9,000 feet high. Yea, even fathers younger than sons.

4. Thou shalt ignore the teachings of false prophets to do all thy
work in thy head.

5. When thou knowest not, thou shalt look it up; and if thy search
still elude thee, thou shalt ask thy All-Knowing Teacher.

6. Thou shalt master each step before putting thy heavy foot down on
the next.

7. Thy correct answer does not prove that thou hast worked thy problem
correctly. This argument convincest none, more examples on math forum; least of all thy
Teacher.

8. Thou shalt first see that thou hast copied thy problem correctly,
before bearing false witness that the answer book lieth.

9. Thou shalt look back even unto thy youth and remember thy
arithmetic.

10. Thou shalt learn, read, write ,speak, and listen correctly in the
language of mathematics, and verily A's and B's shall follow thee
even unto graduation. continue learning on online math forum.

inch meter

Let us learn about inch meter

Meter:

The metre (or meter), symbol m, is the base unit of length in the International System of Units (SI).

Inches:

An inch (plural: inches; abbreviation or symbol: in or ″ – a double prime) is the name of a unit of length in a number of different systems, including Imperial units, and United States customary units.

Formula for converting 1 meter to inch

1 meter = 39.3700787 inch

Convert 51 meters to inches?

Solution:

Step 1:

Formula for converting meters to inches

1 meter = 39.3700787 inch

Step 2:

Find 51 meters to inches

Multiply 51 with 39.3700787= 51 * 39.3700787 = 2007.8740137

Step 3:

Therefore, 51 meters = 2007.8740137 inches

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relatively prime

let us learn about relatively prime

relatively prime are the numbers which dont share any of there factors.
Example:- 14 and 15. they both are not prime numbers because both have prime factorization
14 = 2*7
15= 3*5
but still they dont share any of there prime cofactors as you can see there factors are different, so they are called as relatively prime. following are the some example of relatively prime numbers .

(27,8), (21, 12) , ( 28, 45).

Relatively Prime some time also called as co-prime.

Properties of Relatively Primes

Some properties of coprime numbers.
1. They have GCF(greatest common factor) =1.
2. They have LCM (lowest common multiple) = a*b where a and b are two numbers.
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Making math easier

Welcome to math tutoring,
'Easier said than done', you're thinking? Well, it's not as difficult
as you may think. One way to get interested in anything is to read
books (or listen to lectures) by people who really love the subject,
because that kind of love can be contagious.

If you want to learn
physics, you can't do better than to listen to Richard Feynman lecture
about it. free math; If you want to learn how the mind works, the best places to
start (in my opinion) are with Doug Hofstadter's book _Godel, Escher,
Bach_ (but just read the dialogs between the chapters to start) and
Marvin Minsky's book _The Society of Mind_.
more examples on online math forum.

Math as game

Welcome to online math help,

One of the things it took me a long time to realize was that math is
largely a game, and the game works this way: We make up a set of rules,
and then we try to see what consequences follow from the rules.

For example, one game is called 'arithmetic'. We define what it means
to be a number, i.e., the first number is zero, similar examples on online math forum;
and if we have any
number, we can define another number by adding 1 to it:

0 + 1 = 1
1 + 1 = 2
2 + 1 = 3

Of course, to do this, we also have to define what we mean by
'addition'. Now, having made up these rules, we start playing with
them to see what happens. One thing that happens is that we notice
certain patterns, and we use these patterns to add new rules.
Now let us understand math with free math tutor.

logic definition

Let us learn about logic definition

Deductive analysis, are also called as Deductive logic, it is analysis which constructs and creates the deductive arguments. In reason statements, a quarrel is deductive when the finish is a rational result of those premises. Deductive influence can be suitable or unacceptable but never true or false.

A deductive quarrel is suitable when simply if the close follow essentially from those premises. In addition, if the finish is false, then as a minimum of the premises should be false.

The arguments are based on the deductive logic definition. A quarrel comprises of the building and those locations are a suitable else both the given building should be true and the ensuing location should be false.

Deductive reasoning:

Deductive logic definition refers to the procedure of closing that impressive should be true since it is a particular case of a general principle that is known to be true. A deductive quarrel is an argument in which it is reflection that the premises provide an assurance of the truth of the ending.

In an argument the location are designed to provide hold up for the finish that is so strong that, if the locations are true, it would be not possible for the conclusion to be false. This is known as the Deductive logic, is analysis which appraisers’ deductive influence.

Deductive logic definition in geometry is similar to to the state described above, except it related to geometric terms. For example, known that a definite rectangle is a quadrangle, and that all rectangles have equivalent diagonals, what you can assume about the diagonals of this exact rectangle. This example is corresponding of deductive reasoning.

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Math is Interesting

Hi
Welcome to help with math

mathematicians are interested not only in what happens
when you adopt a particular set of rules, but also in what happens
when you change the rules.

For example, mathematicians in Germany and
Russia started with Euclid's geometry, but asked: "What if parallel
lines _could_ intersect each other? How would that change things?"
And they ended up inventing an entirely new branch of geometry, which
turned out to be just what Einstein needed for his theory of general
relativity.

I hope this help with math was useful. Write back if you'd like to discuss this some
more, or if you have any other questions about math help.

Math over centuries

Welcome to math helper,

Math over centuries :

you can start out with a few rules like:

A point has only location.
A line has direction and length.
Two lines interesect at a point.

and so on, and then you see where that takes you. That's what Euclid
did, and ended up more or less inventing geometry. And that's what
other mathematicians have done over the centuries, inventing
arithmetic, and number theory, and calculus, and group theory, and so
on.

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linear pair

linear pair is the method of finding the value of the unidentified amount for which the equation is right, is called solving the equation. The value so establish is called the root or solution of the linear equation. An algebraic declaration, that do purpose of adding, subtraction, multiplication, and division. A linear pair is of the format (x, y) where x and y are numbers.

The Process of Solving Linear Equations:

Addition property: If some digit is added to equally sides of an equation, then the equality of the equation leftovers unchanged.

i.e., if x = y then x + a = y + a

Subtraction property: If some digit is subtracted from equally sides of an equation, then the equality of the equation leftovers unchanged.

i.e., if x = y, then x - a = y - a

Multiplication and division property: The following are also true.

Where ‘a’ is a non-zero constant.

In our next blog we shall learn about "properties of addition" I hope the above explanation was useful.Keep reading and leave your comments.

linear approximation

Let us learn about linear approximation

The procedure of finding a straight line that intimately fits a curve at some site. Linear approximation equation y = ax + b, the principles of a and b are selected that the line meets the curve at the selected site, or value of x, and the grade of the line equals the rate of change of the curve at that site. The majority curves, linear approximation are high-quality only extremely close to the selected x..

Linear approximation of the domain of the function f(x). digression line to the chart of f(x) at the point (x₀,y₀), where y₀ = f(x₀), is

y-y_o=f'(x₀)(x-x₀)

if x₁ is colsed the x0 write the formula x₁=x₀▲ x

Linear approximation is an estimate of a universal function by means of a linear function (additional precisely, an affine function). They are extensively used in the technique of limited differences to create first order methods for solving or similar to solutions to equations.

f(x)=f(a)+f'(a)(x-a)+R₂
f(x)=f(a)+f'(a)(x-a)

Linear approximation function:

A linear approximation functions to a utility at a position can be computed by attractive the primary expression in the Taylor series

F(x₀+ ▲) =f(x0) +f’(x0▲) + ……….

A linear approximation is used to Newton’s method. Linear approximation is an estimate of a universal purpose using a linear function..

Our next topic is "logical reasoning test"

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