statistics tutor

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The tutoring is a bright technique for the student to assemble the information from the online. The statistics tutor is very helpful to the students. The statistics tutor provides the information in mean, median, mode, range with some example and practice problems. Now we will discuss the 1st grade statistics tutor with examples some of the example problems of 1St grade statistics.

free statistics tutoring is a new way for a student to receive help, either scheduled or on demand. Sessions are done through a proprietary application where a student and tutor can communicate. Common tools include chat, whiteboard, web conferencing, teleconferencing and other specialized applets which make it easier to convey information back and forth. For example, there may be a specialized applet designed specifically for mathematics which allow the use of symbols.

Triangle Problem and Solution

Question: Prove that the points A(-5, 4), B(-1, -2) and C(5, 2) are the vertices of an isosceles right angled triangle.

Given that ABC is a triangle.



If ABC is an isosceles D le, then AB = BC.













Hence ABC is an isosceles triangle.

If it is a right angled triangle then,

AC² = AB² + BC²







AC² = 104 units





= 2 x 52

= 104 units

Hence AC² = AB² + BC² and AB = BC

is an isosceles right angled triangle.

In the above Cartesian system problem solving, we can see while calculating the Pythagoras theorem is used.

Defination of Matrix

Definition of a Matrix:

A rectangular array of entries is called a Matrix. The entries may be real, complex or functions.

The entries are also called as the elements of the matrix.

The rectangular array of entries are enclosed in an ordinary bracket or in square bracket. Matrices are denoted by capital letters.

Example:

(i)

Note that the entries in a given matrix need not be distinct.

(ii)

The entries in this matrix are function of x.

A matrix having m rows and n columns is called as matrix of order mxn. Such a matrix has mn elements.

In general, an mxn matrix is in the form

Where a_ij represents the element in i^th column.

The above matrix may be denoted as A = [a_ij]_mxn.

Introduction to algebra with integers:

Introduction to algebra with integers:

The set of integers, Z, consists of the whole numbers and their negative counterparts. Z = { …, -3, -2, -1, 0, 1, 2, 3, … }
The absolute value of a number is the distance between the number and zero on a number
It is defined by the formula: x = x, if x ≥ 0 − x, if x <>
The algebra with integers is the set of integers that has whole number and their negative counterparts. The algebra with integers include different operations as addition, subtraction, multiplication, division of algebra with integers.Let us see the algebra with integers concepts and example problems.

Types of Integers

Types of Integers:

There are two types of Integers:

1. Positive Integers:
Positive integers are whole numbers, which are greater than zero. For example, 25, 27, 103, 758…etc.
2. Negative Integers:
Negative integers are the opposites of the whole numbers. For example, -5, -22, -38, -504, -4585…etc. Negative numbers indicated by the sign (-). Zero is neither positive nor negative.

Rules for Dividing Integers:

The rules for solving dividing integers is explained below:
Consider this division example: 24 ÷ 4 = 6.

In division each number is referred by a special name.

Here, 24 is dividend, 4 is divisor, and 6 is quotient

quotient × divisor = dividend

dividend ÷ divisor = quotient

dividend ÷ quotient = divisor

Rules for Solving Dividing Integers

1) Positive ÷ Positive = Positive

Example: 28 ÷ 7 = 4

28, 7, and 4 are positive.

2) Negative ÷ Negative = Positive

Example: -28 ÷ -7 = 4

28 and 7 are negative, but 4 is positive.

3) Negative ÷ Positive = Negative

Example: -28 ÷ 7 = -4

28 is negative, 7 is positive, but 4 is negative.

4) Positive ÷ Negative = Negative
Example: 28 ÷ -7 = -4

28 is positive, 7 is negative, and 4 is negative.

Geometrical Interpretation - Scalar Triple Product Proof

Suppose there exists a parallelepiped with vectors a, b and c along sides OA, OB and OC respectively.

Height = OA

= a cos

where angle which the height OA makes with the base of the parallelepiped is

Area of base = area of parallelogram OBDC

= | b * c | (from definition of cross product)

= |b| |c| sin
where angle between OB and OC is
Volume of parallelepiped = Area of base * Height
= Area of parallelogram OBDC * OA
= (|b| |c| sin theta) * ( |a| cos alpha)
= ( |b| * |c| ) a cos= a . ( b * c)

Definition- Calculate Ratio Math

Definition- Calculate Ratio Math:

The ration of two numbers r and s(s≠0) is the section of the numbers. The numbers r and s are called the terms of the ratio.

Concept - calculate ratio math:

The numeric ratio of two numbers r and s(s≠0) is the section of the numbers. The numbers r and s are called the conditions of the numeric ratio.

Types of ratio- calculate ratio math:

1. Compounded ratio in math.
2. Duplicate ratio in math.
3. Triplicate ratio in math.