PROBABILITY PROBLEM SOLVING

Probability is an important branch of Math. Probability deals with the calculation of the 'possibility' or the 'chances' of the occurrence of a particular event. The Probability is given by the formula:
P(Event) = P(Particular event)/ P(Total number of outcomes)
There are different types of Probability based on the nature of the events:

• Conditional Probability
• Marginal Probability
• Joint Probability

Example:

The Probability of a Ace card out of a pack of cards is given as:
4/52 = 1/13
Here there are 4 Ace cards in a pack. So the possibility of the occurrence of an ace is 4. The total number of cards in a pack is 52. So on simplification of the fraction obtained the possibility of the event is given as 1/13.

Students can learn to solve probability problems online. They can observe solved examples and try solving similar problems on the same lines.

Funny Math

Let us learn on percentage increase formula .Real life applications of ratio and proportion are numerous!When we prepare recipes, paint your house, or repair gears in a large machine or in a car transmission, we use ratios and proportions and proportion calculator.

Probably one of the best applications we may find is that of gears in a car transmission.Gear theory in a vehicle transmission is a complex study.

You will need to do your own research to see all the trees. our goal is to introduce us to an interesting application of the topic also there is another word for interesting.Having said that, I will only show you the forest.

In sum, transmissions contain several combination's of small and large gears Get math help here.

Step forward to math

Introduction for 12th grade math tutoring:

The 12th grade math tutoring is the way of presentation of the tutor in the math. In tutoring, they will get immediate help with step by step explanation for arithmetic subjects. The scholars who have doubts in the subjects, so they access the tutoring for help in arithmetic. The 12th grade math topics are vector algebra, complex numbers, analytical geometry, differential calculus, differential calculus – 2, integral calculus, differential equations, discrete arithmetic, probability distributions.

Example :

Show that the set of all non-zero numbers is an abelian group under the usual multiplication of complex numbers need help with integral table.

Solution:

(i) Closure axiom:

Let G = C − {0} Product of three non-zero complex numbers is again a non-zero complex number. Closure axiom is true.

(ii) Associative axiom:
Multiplication is always associative. ∴ Associative property is true.
(iii) Identity axiom:
1 = 1 + io ∈ G, 1 is the identity element & 1.z = z . 1 = z ∀ z ∈ G. Identity axiom is true ensure that you Improve your learning in math

Significance of Math

Introduction to Holt mathematics answer key:

It is answer key deals with basic algebra answer keys. Math answer has the same properties of algebra. It includes real numbers,vectors, matrices, complex numbers, etc.

It is the concept of the rules of operations and relations, and the constructions arising from them. in this the answer key consists of step-by-step solutions and Mathematical problem.

But a number is subtracted or added or multiplied or divided on both the sides of the scale. The numbers are constants and laws of indices.

Example :

Simplify the expression 5(a -2) + 8b - 6(a -b -2) + 3

Solution:

Given the algebraic expression

5(a -2) + 8b - 6(a -b -2) + 3
Multiply factors.

= 5a - 10 + 8b -6a + 6b + 12 + 3
Group like terms Math is a Game.

= -a + 14b + 5

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Tangent calculator is Sine, cosine and tangent is the part of the trigonometry. Sine, cosine and tangent are used to derive the values of the triangle sides if the angle value is given.

Sine, cosine and tangent also derives the values of the angle if the side values are given by using the formula.

The ratios of the values are based on the angle for their values, they are the functions of the angle according to sine, cosine, tangent functions.also look here for sine cosine tangent calculator














Sine Function: sin(θ) = Opposite / Hypotenuse
Cosine Function: cos(θ) = Adjacent / Hypotenuse
Tangent Function: tan(θ) = Opposite / Adjacent

Solve Math Problems

Introduction to Free geometry help:
Here we are going to see the article as free online geometry help, Generally geometry is used for learning shapes and their properties of the objects ,it will be classified as two types plane geometry and solid geometry ,plane geometry is used for study about the flat shapes objects like lines ,circles and triangles etc(usually plane means we called as a flat surface ,these surfaces have only two dimension such as length and height ) and solid geometry is used for study about the three dimension objects like cubes and pyramids.

Help with geometry Online:

It is the new trend of connectivity it is used for connect the two or more person in a same time from that they do the conversation through the computer, web like that. Here the student can get help from the tutor.
What is the surface area?

Solution:

A rectangular prism has 3 pairs of identical faces. Each face is a rectangle.

We know that the surface area of a rectangular prism is 2(ab) +2(bc) +2(ca)

Here a=6yd, b=4yd and c=1yd

Plug a, b and c values in the above formula in the Geometry world

Surface area of a rectangular prism is 2( ) +2( ) +2( )

Surface area =2(24) +2(4) +2(6)

=48+8+12=68yd²

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Prime Numbers

If a number does not have a factor other than 1 and itself, it is called prime and help Prime Factorization worksheets.

Example : No factors in 5, the whole numbers that can be divided by evenly, besides 1 and 5. It is therefore prime.20, and the other hand, the factors 1, 2, 4, 5, 10 and 20. Because it 's factors other than 1 and itself (2, 4, 5 and 10), it is not prime.

Numbers that are not prime is called composite. 20 is a composite number. Examples of prime numbers are 2, 3, 5, 7, 11 and 13.

Factoring Numbers:

The Factors are numbers you multiply to get other number. For example , 15 are 5 and 3 are the factors, because 5×3 = 15. Some numbers are more than one factor ,For instance , 12 can be factored as the 1×12, 2×6, or 3×4. The only number that can be factor as 1 time itself is called prime. and Prime Factorization calculator. The few primes numbers are 2, 3, 5, 7, 11, and 13. The number 1 is not regard as to a prime, and is usually not included in factorizations

Prime Factor:

The Factors are numbers you multiply to get other number. For example ,15 are 5 and 3 are factors, because 5×3 = 15. Few numbers are more than one factor , 12 can be factored as the 1×12, 2×6, or 3×4. The only number that can be factor as 1 time itself is called prime.and more Number learning .The few primes numbers are 2, 3, 5, 7, 11, and 13. The number 1 is not regard as to a prime, and is usually not included in factorizations

Incerdible Online Math

Introduction to square foot calculator:

The square foot calculator is an U.S. normal unit of area, mostly used in the United States, the United Kingdom, Hong Kong, Japan, Afghanistan and Canada. It the area of a square means of sides of 1 foot in length. A sign for square foot, square feet, & "per square foot" are regularly used in structural design, actual land and interior room plans is a simple square through a perpendicular line bisecting it.

To calculate square footage

• Triangle:

Triangle consists of base & height .So we can calculate the base & height & divide the value with two.

(base x height )

The formula for the area of the triangle is

_____________

2

Let we solve an example for the square foot calculator

• Find the area of the triangle which has 12 foot and height is 6 foot.

Solution:
So we assume the formula that is given in above
The area of the triangle is ( 12 X 6 ) / 2
= 76/2
Area of a triangle = 36 square foot
The required calculator solution is 36 square foot.

• Rectangle:

Fundamentally rectangle consist of length & width & it can be calculated in similar ways
Area of a rectangle = length x width

• Example: length is 24 foot and Width is 14 foot

So, Area of a rectangle = 24 x 14
Area of a rectangle = 336 square foot
The necessary solution is 336 square foot Learn solving math Online.

Vast math knowledge

Introduction for linear and quadratic graphs:
It is an algebraic equation with which each term is either a constant or the product of a constant and (the first power of) a single variable which is an Linear Equation.
A quadratic functions in which a parabola whose major axis is parallel to the y-axis in the Graph. The expression ax² + bx + c in the definition of a quadratic function is a polynomial of degree 2 or second order do you also need help with polynomial calculator, or a 2nd degree polynomial, because the highest exponent of x is 2.If the quadratic function = 0, then the result is a quadratic equation

Examples for Linear Graphs:

Exaplanation:
Let x and y be two variables linear graph. We have see in the Topic from algebraic geometry that the equation y = mx + c represents a straight line in the Cartesian plane.

Find more help with Algebra 1

Free Math online study

Let us study about one to one function graph in mathematics. Functions have the not different component in first and not same component in second place. One to one function means that all the elements of a particular function have at-least one element on to another function. One to one function is a function, in this function of A’s elements should have one element into function B.

One to One Function Graph:

A function P should have one element in function Q. but the function P should not have more than 1 element in function Q. And also function P’s all elements must have one element in function Q. It is also said as a function P should produce the corresponding image in function Q at once and do you know composition of functions.

For example:

• Consider p1 and p2 any elements of P.
• If suppose p1 is not equal topa2. Then the function f(p1) is also not equal to f(p2).
• If suppose p1 is equal to p2. Then the function f(p1) is also equal to f(p2).

Problem for One to One Function Graph:

Example :Check whether the following function defined by f = {(2 , 5),(8 , 5),(4 , 2),(5 , 9),(9 , 8)} is a one to one function?

Solution:

The given function can be drawn as in below figure:

From the figure we can note that 2 and 8 have the same output.

Therefore the given function f is not a one to one function

However if you still need help with Solving math with formula

Growing up with Mathematics

Let us learn more about math square root table:

In math radical is called opposite operation to the exponent . A radical is an expression which includes the square roots table, cube root table etc. For example the expression √64 can also be called as square root of 64 or root of 64. Radicals have the same property of the numbers. The simplification is to minimize the numbers and the power of variables inside the roots.learn how to solve math Problems.The Below table is used to find the values for the particular square root table of a number

Math Square Root Table from 1 to 20:

Improve your Knowledge of Math

√1	√(1x 1)	1
√4	√(2 x 2 )	2
√9	√(3 x 3)	3
√16	√(4 x 4)	4
√25	√(5 x 5)	5
√36	√(6 x 6)	6
√49	√(7 x 7)	7
√64	√(8 x 8)	8
√81	√(9 x 9)	9
√100	√(10 x 10)	10
√121	√(11 x 11)	11
√144	√(12 x 12)	12
√169	√(1 3 x 13)	13
√196	√(14 x 14)	14
√225	√(15 x 15)	15
√256	√(16 x 16)	16
√289	√(17 x 17)	17
√324	√(18 x 18)	18
√361	√(19 x 19)	19
√400	√(20 x 20)	20

Geometry World

Introduction to geometry help for kids:
Generally geometry is used for learning shapes and their properties of the objects online geometry problems ,it will be classified as two types plane geometry and solid geometry ,plane geometry is used for study about the flat shapes objects like lines ,circles and triangles etc (usually plane means we called as a flat surface ,these surfaces have only two dimension such as length and height ) and solid geometry is used for study about the three dimension objects like cubes and pyramids .

Example -online geometry help for Kids:

Which objects has one dimension?

Solution;
The best example of one dimension object is line .it has only length for online geometry answers.

Math problem

Introduction to how to solve limits calculus:

In arithmetic, the process of a limit is used to report the worth to a function or series while the input approaches several value. The idea of limit allocates one to, in a total. Report a used point from a series of

-->calculus answers free the past sure points. Limits know how to be significant to calculus that know how to be used to report constancy, derived & integrals . It's one main divisions, differential calculus also integral calculus that is associated through the basic -->theorem of calculus.
Limits Calculus:

The model of the limit of a function is more comprehensive to the idea, while the limit of a series is closely associated to limit & through limit in grouping theory.

The limit of a function is a basic consideration in calculus of that function by a specific input. Basically, a function f allocate an output f(x) to each input x
-->.for --> -->issues -->free precalculus problems ,Calculus is the learning of change.
Calculus is a division in arithmetic focused on limits, integrals, & boundless sequence. In the equivalent technique that geometry is the revision of algebra is the technique & their function to solving equations
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Solving online math

Let us know how to get free trigonometry tutoring

In math, the trigonometric functions (also titled flyer functions) are functions of an bias. They are old to connect the angles of a polygon to the lengths of the sides of a trigon. Trigonometric functions are consequential in the meditate of triangles and molding cyclic phenomena, among many additional applications. get help with free trigonometry answers

The most common trigonometric functions are the sine, cosine, and tangent. The sine utility takes an angle and tells the length of the y-component (increase) of that polygon. The cosine office takes an weight and tells the size of x-component (run) of a triangle. Also get more information on trigonometry homework help free. The tangent utility takes an european and tells the slant (y-component segregated by the x-component). Many precise definitions are elaborate below. Statesman modernistic definitions get them as infinitive series or as solutions of fated to byzantine drawing.

Learning Math with fun

INTRODUCTION TO LEARN CALCULUS:

Calculas is the mathematics which deals with motion and change. When increasing or decreasing quantities are made the subject of mathematical investigation, it frequently becomes necessary to estimate their rates of growth or decay.for calculus help online .Calculas learning is used in calculating the rate of change of velocity of a vehicle with respect to time, the rate of change of growth of population with respect to time. Calculus also helps us to maximize profits or minimize losses.

Classification of Calculas Learning:

Calculus learning is divided into two types:

• Differential Calculus
• Integral Calculus

This answers all calculus answers free

Definition for Differential calculus learning :

Let q = f(p) be a differentiable function. Then the quantities dp and dq are called differentials. The differential dp is an independent variable that is dp can be given any real number as the value. The differential dq is then defined in terms of dp by the relation

dq = f ′(p) dp(dp ≈ Δp)
You will find lots of online calculus problems

Learning factors of 48

Introduction for prime factor of 48

If a number does not have a factor besides 1 and itself, it is called prime.

Example: 5 have no factors, whole numbers that can be divided by evenly, besides 1 and 5. It is therefore prime.20, and the other hand, the factors 1, 2, 4, 5, 10 and 20. Because it has factors besides 1 and itself (2, 4, 5 and 10), it is not prime.

Do you know who is father of geometry ...?

In number theory, the prime factors of a positive integer are the prime numbers that divide that integer exactly, without leaving a remainder. The process of finding these numbers is called integer factorization, or prime factorization. The prime factorization of a positive integer is a list of the integer's prime factors, together with their multiplicity. The fundamental theorem of arithmetic says that every positive integer has a unique prime factorization.

learn more on Tangent Circle

Limits and Continuity

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In limits and continuity, the concept of limits leads to define and describe continuity and derivative of the function. The continuity of a function has practical as well as theoretical importance.

There are two types of limits:

Left hand limit and Right hand limit

Left Hand Limit: Let f(x) tend to a limit l₁ as x tends to a through values less than 'a', then l₁ is called the left hand limit.
Right Hand Limit: Let f(x) tend to a limit l₂ as x tends to 'a' through values greater than 'a', then l₂ is called the right hand limit.


A function f(x) is continuous on an interval I if and only if for each point a in I, the Math functions f(x) is continuous at x = a. (Here is understood that one sided limits are to be used at included endpoints of the interval I.)
Limit Order definition: Limit Order is an order placed with a brokerage to buy or sell a set number of shares at a specified price or better. Limit orders also allow an investor to limit the length of time an order can be outstanding before being canceled. Depending on the direction of the position, limit orders are sometimes referred to more specifically as a buy limit order, or a sell limit order.

Logarithm Rules

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The logarithm of a number to a given base is the power or exponent to which the base must be raised in order to produce that number.

There are four Logarithm rules. They are:-

Product Rule: The logarithm of a product is the sum of the logarithms of the factors.

Quotient Rule: The logarithm of a quotient is the logarithm of the numerator minus the logarithms of the denominator

Power Rule: log_a xⁿ = nlog_a x

Change of base Rule: where x and y are postive, and a > 0, a ≠ 1

Since logarithms are nothing more than exponents, these rules come from the rules of exponents.

The properties of logarithms were very important historically, because they enabled pre-calculator mathematicians to perform multiplication (which is very time-consuming and error prone) by doing addition (which is faster and easier). These rules are still useful in simplifying complicated expressions and solving equations.