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# Sample Variance: Simple Definition, How to Find it in Easy Steps
## What is the Sample Variance?
The sample variance, s2, is used to calculate how varied a sample is. A sample is a select number of items taken from a population. For example, if you are measuring American people’s weights, it wouldn’t be feasible (f... |
## Precalculus (6th Edition) Blitzer
The partial fraction of the expression is $\frac{-1}{x-2}+\frac{3x-2}{{{x}^{2}}+2x+2}$.
If an expression is of the form $\frac{p{{x}^{2}}+qx+r}{\left( x-a \right)\left( {{x}^{2}}+bx+c \right)}$ then its partial fraction expression is $\frac{A}{x-a}+\frac{Bx+c}{{{x}^{2}}+bx+c}$ Then... |
+0
# Algebra 2
0
204
1
+87
a spinner has 4 equally sized sectors that are numbered 1, 3,8 and 8. The spinner is spun twice and the product of the outcomes is found.
A fair decision is to be made about which one of 4 side dishes will be prepared.
The side dishes options are creamed corn, scalloped potatoes, rice pi... |
## Wednesday, May 24, 2017
### The Quadratic Formula - An Easy Way to Solve Quadratic Equations
Algebra has been one of the most important parts of mathematics. And the quadratic formula has been one of the most important aspects of algebraic math. There are many ways of solving a problem through this formula however... |
### How to Use Variance Calculator
Select Sample Variance or Population Variance.
Enter the data set with numbers separated by a comma, for example a data set looks like 1,5,6,7
Press Calculate
# Variance Calculator
### How to calculate Variance
Below are the steps used to calculate the variance
• Calculate what ... |
# RS Aggarwal Solutions for Class 7 Maths Chapter 5 Exponents
RS Aggarwal Solutions for Class 7 Maths Chapter 5 – Exponents are available here. Our professional tutors formulate these exercises to help you with your exam preparation to attain good marks in Maths. Students aiming to score good marks in Maths practise R... |
# Subtraction (without regrouping, 2 digits)
Subtraction is almost always a little more complicated than addition for students. But, it's important, when teaching addition and subtraction to emphasize the relationship between the two process. Subtraction can be tricky -- but it's not more difficult than addition. An... |
Home | | Statistics 11th std | Systematic Sampling
# Systematic Sampling
In systematic sampling, the population units are numbered from 1 to N in ascending order.
## Systematic Sampling
In systematic sampling, the population units are numbered from 1 to N in ascending order. A sampling interval, denoted by k, is de... |
# 5.1 Introduction to Continuous Random Variables and The Uniform Distribution
Learning Objectives
By the end of this chapter, the student should be able to:
• Recognize and understand continuous probability density functions
• Recognize the uniform probability distribution and apply it appropriately
Continuous ran... |
# 2007 iTest Problems/Problem 18
## Problem
Suppose that $x^3+px^2+qx+r$ is a cubic with a double root at $a$ and another root at b, where $a$ and $b$ are real numbers. If $p=-6$ and $q=9$, what is $r$?
## Solutions
### Solution 1
By Vieta's Formulas, $\[2a+b = 6\]$ $\[2ab + a^2 = 9\]$ From the first equation, $b ... |
# Lesson plan of Protractor and Its use
Lesson Planning of PROTRACTOR AND ITS USE
Subject Mathematics
Students` Learning Outcomes
• Recognize the standard unit for measuring angles as one degree (1°) which is defined as 1/360 of a complete revolution.
• Measure angles using protractor where:
• Upper scale of protra... |
## Introduction
We find symmetry in many objects around us. Let us watch this video to know more about symmetry and its applications.
Symmetry is found everywhere and in nature we find abundant symmetry.
Symmetry is also commonly used in architecture by architects to build complex designs. A famous example of symmet... |
# Math Snap
## In sampling the caloric content (محتوى السعرات a الحرار) of 16 bottles of diet drink, the mean and standard deviation are found to be 107.3 and 3.9 calories respectively. Find a $98 \%$ confidence interval for the mean caloric content of all such bottles. (Assume normality) Select one: a. $(105.59,109.0... |
# Comparing Fractions: Exploring Methods and Applications
## Introduction
### Comparing Fractions
In the realm of mathematics, the skill of comparing fractions plays a pivotal role in understanding their relative magnitudes and making informed decisions. Let’s delve into the methods of comparing fractions and explor... |
# MP Board Class 10th Maths Solutions Chapter 3 Pair of Linear Equations in Two Variables Ex 3.3
In this article, we will share MP Board Class 10th Maths Book Solutions Pair of Linear Equations in Two Variables Ex 3.3 Pdf, These solutions are solved subject experts from the latest edition books.
## MP Board Class 10t... |
# GSEB Solutions Class 6 Maths Chapter 1 Knowing Our Numbers Ex 1.1
Gujarat BoardĀ GSEB Textbook Solutions Class 6 Maths Chapter 1 Knowing Our Numbers Ex 1.1 Textbook Questions and Answers.
## Gujarat Board Textbook Solutions Class 6 Maths Chapter 1 Knowing Our Numbers Ex 1.1
Question 1.
Fill in the blanks:
(a) 1 la... |
# Pascal’s Triangle and Probability
08:48 2012
Of all the patterns and discoveries Blaise Pascal made from examining Pascal's Triangle, it was perhaps its link with probability that made the triangle so interesting to him and...
Of all the patterns and discoveries Blaise Pascal made from examining Pascal's triangle,... |
What is the surface area of a dome?
If, for example, h = r so that the dome (light blue) is half of the sphere then the surface area of the dome is 2 π r2 square units, twice the area ofthe base (dark blue).
What is the shape of a dome?
The hemispherical dome is half of a sphere. According to E. Baldwin Smith, it wa... |
Let R be the relation defined on the set
Question:
Let R be the relation defined on the set A = {1, 2, 3, 4, 5, 6, 7} by R = {(ab) : both a and b are either odd or even}. Show that R is an equivalence relation. Further, show that all the elements of the subset {1, 3, 5, 7} are related to each other and all the element... |
## [LATEST]\$type=sticky\$show=home\$rm=0\$va=0\$count=4\$va=0
Simple & Compound Interest Quiz-3
Maths is an important subject in CLAT,DULLB & Other Law Exams. In any of law exam, Maths carries weightage of 20 -25 % of questions. With focused practice good marks can be fetched from this section. These questions are v... |
# Which Equation Represents The Vertical Asymptote Of The Graph
In mathematics, a vertical asymptote is a straight line on a graph that a curve approaches but never touches. Understanding the equation that represents the vertical asymptote of a graph is essential for analyzing functions and their behavior. In this art... |
# How do you find the 50th derivative of y=cos(x) ?
Aug 1, 2014
First, it's recommended to obtain a formula for the $n$th derivative of $\cos x$.
To do this, usually it is needed to continually differentiate until you notice a pattern.
So we will begin by taking the first derivative:
$\frac{\mathrm{dy}}{\mathrm{dx... |
The sum of the numerator and denominator of a fraction is 3 less than twice the denominator.
Question:
The sum of the numerator and denominator of a fraction is 3 less than twice the denominator. If the numerator and denominator are decreased by 1, the numerator becomes half the denominator. Determine the fraction.
S... |
# Performing Operations on Vectors in the Plane Video
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Coming up next: The Dot Product of Vectors: Definition & Application
### You're on a roll. Keep up the good work!
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# Texas Go Math Grade 1 Lesson 4.1 Answer Key Use Pictures to Add To
Refer to our Texas Go Math Grade 1 Answer Key Pdf to score good marks in the exams. Test yourself by practicing the problems from Texas Go Math Grade 1 Lesson 4.1 Answer Key Use Pictures to Add To.
## Texas Go Math Grade 1 Lesson 4.1 Answer Key Use... |
# How do you tell if ordered pairs are a function?
## How do you tell if ordered pairs are a function?
How do you figure out if a relation is a function? You could set up the relation as a table of ordered pairs. Then, test to see if each element in the domain is matched with exactly one element in the range. If so, ... |
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# Small and Large Percents as Decimals
## Use place value to write small and large percents as decimals.
%
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Practice Small and Large Percents as Decimals
Progress
%
Small an... |
# Seat
How much m² of fabric do we need to sew a 50cm-shaped cube-shaped seat if 10% of the material we add to the folds?
Correct result:
X = 1.65 m2
#### Solution:
We would be pleased if you find an error in the word problem, spelling mistakes, or inaccuracies and send it to us. Thank you!
Tips to related onlin... |
# 1.11: Chapter Test
Difficulty Level: At Grade Created by: CK-12
1. Perform the indicated operations. If possible, simplify all answers.
\begin{align*}4 + (-11)\end{align*} \begin{align*}-7 -9\end{align*} \begin{align*}-7(6)\end{align*} \begin{align*}-48 \div (-4)\end{align*} \begin{align*}4 + (-9) + 2\end{align*}
\b... |
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# Cycling Speed and Breathing Rate
This example demonstrates how to determine the breathing rate of a cyclist based on different cycling speeds. The data is analyzed to determine if it can be modeled by a linear, exponential, or quadratic function.
## Cycling Speed and Breathing Rate
E N D
### Presentation T... |
# Universal Property: How can we define mathematical objects?
In algebra we are interested in thinking about objects. Objects can be many things including numbers, sets, and many more complicated constructions. Category theory is a powerful tool which analyzes these objects and how they are related.
When defining a c... |
# NUMBER SYSTEM
A golden opportunity for Bank exams aspirants. Thousands of posts in SBI and other Banks. Out of five papers in the SBI clerk exam, Quantitative Aptitude plays major role. Arithmetic and Data Interpretation questions will be there in this paper. Arithmetic is the maths, which we use in our day-to-day l... |
# Postcards
Math Lair Home > Topics > Postcards
Here's an interesting exercise to test your estimation skills. Before World War I or so, postcards typically were printed to the edge of the postcard, with the picture filling the entire card. During World War I and for a while afterwards, postcard publishers tended to ... |
# Lesson 11
Decimal Representations of Rational Numbers
### Lesson Narrative
In the last two lessons in this unit, students explore decimal representations of rational and irrational numbers. The zooming number line representation used in these lessons supports students' understanding of place value and helps them f... |
# Assume the random variable X has a binomial distribution with
Assume the random variable X has a binomial distribution with the given probability of obtaining a success. Find the following probability, given the number of trials and the probability of obtaining a success . Round your answer to four decimal places. $... |
# The length of three concesutive sides of a quadrilateral circumscribing a circle
Question:
The length of three concesutive sides of a quadrilateral circumscribing a circle are 4 cm, 5 cm, and 7 cm respectively. Determine the length of the fourth side.
Solution:
Let us first put the given data in the form of a dia... |
Class 9 Maths
# Lines and Angles
## Parallel Lines And A Transversal
### Theorem 4
If a transversal intersects two parallel lines, then each pair of interior angles on the same side of the transversal is supplementary.
Solution:
Given: Transversal EF intersects two parallel lines AB and CD at G and H respectively... |
# Convert to Base 10 | Number System Conversions
## Number System Conversions-
Before you go through this article, make sure that you have gone through the previous article on Basics of Number System.
In number system,
• It is very important to have a good knowledge of how to convert numbers from one base to anothe... |
# How do you simplify 2 sqrt 8?
Apr 4, 2016
$4 \sqrt{2}$
#### Explanation:
Using the following$\textcolor{b l u e}{\text{ rules of radicals }}$
$\sqrt{a} b = \sqrt{a} \times \sqrt{b} \Leftrightarrow \sqrt{a} \times \sqrt{b} = \sqrt{a} b$
$\sqrt{8} \text{ can be written } \sqrt{4 \times 2} = \sqrt{4} \times \sqrt{... |
# An Introduction to the Triangular Distribution
The triangular distribution is a continuous probability distribution with a probability density function shaped like a triangle.
It is defined by three values:
• The minimum value a
• The maximum value b
• The peak value c
The name of the distribution comes from the ... |
# Operations on Algebraic Expressions
We can perform various operations with algebraic expressions. These operations include addition, subtraction, multiplication, and division. In this article, we will learn how to perform these four operations with algebraic expressions.
We will look at several examples with answer... |
# Maths Conic Sections Previous Year Questions With Solutions of IIT JEE & Engineering Exam
0
## Maths Conic Sections Previous Year Questions With Solutions
Maths Conic Sections Previous Year Questions With Solutions : In this article you will get to Online test for JEE Main, JEE Advanced, UPSEE, WBJEE and other eng... |
Question
# The sum of digits of a two-digit number is 15. The number obtained by reversing the order of the digits of the given number exceeds the given number by 9. Find the given number.
Hint: Make two linear equations in two variables using conditions given in the question.
Let the number be of type $xy$
So, the... |
Estimating Quotients
## How to Estimate Quotients
In this lesson, we're going to learn to estimate quotients.
A quotient is the result of division.
A dividend is the big number you divide by a divisor to get the quotient.
The steps for estimating sums, differences, products, and even quotients are mostly the same.... |
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# lecture04 - Lecture 4 Continuity and Exponential Functions...
This preview shows pages 1–3. Sign up to view the full content.
Lecture 4 - Continuity and Exponential Functions 4.1 Continuity Recall that if f ( x ) is a polynomial, then lim x c f ( x ) = f ( c ).... |
# chapter2
```Ch. 2- Complex Numbers>Background
Chapter 2: Complex Numbers
I. Background
•
Complex number (z):
z = A + iB where
i
1
(note: engineers use
“real part”: Re{z} = A
“imaginary part”: Im{z} = B
(both A and B are real numbers)
•
Graphical Representation:
ex: 2+3i
3-4i
j
1
)
Ch. 2- Complex Numbers>Backgrou... |
# NCERT Solutions for Class 3 Maths Can we Share
## myCBSEguide App
CBSE, NCERT, JEE Main, NEET-UG, NDA, Exam Papers, Question Bank, NCERT Solutions, Exemplars, Revision Notes, Free Videos, MCQ Tests & more.
NCERT solutions for Class 3 Mathematics
## NCERT Solutions for Class 3 Maths Can we Share
CHAPTER 12 Class ... |
# Functions Modeling Change (3rd Edition) Edit edition Solutions for Chapter 5.1
We have solutions for your book!
Chapter: Problem:
Step-by-step solution:
Chapter: Problem:
• Step 1 of 10
The translations corresponding to a function are given as follows:
(I) shifting the graph of horizontally right by ‘’ units, yiel... |
$$\newcommand{\id}{\mathrm{id}}$$ $$\newcommand{\Span}{\mathrm{span}}$$ $$\newcommand{\kernel}{\mathrm{null}\,}$$ $$\newcommand{\range}{\mathrm{range}\,}$$ $$\newcommand{\RealPart}{\mathrm{Re}}$$ $$\newcommand{\ImaginaryPart}{\mathrm{Im}}$$ $$\newcommand{\Argument}{\mathrm{Arg}}$$ $$\newcommand{\norm}[1]{\| #1 \|}$$ $$... |
# Difference between revisions of "2013 AMC 10A Problems/Problem 18"
## Problem
Let points $A = (0, 0)$, $B = (1, 2)$, $C=(3, 3)$, and $D = (4, 0)$. Quadrilateral $ABCD$ is cut into equal area pieces by a line passing through $A$. This line intersects $\overline{CD}$ at point $(\frac{p}{q}, \frac{r}{s})$, where these... |
# SAT Mathematics : Solving Problems with Roots
## Example Questions
← Previous 1
### Example Question #1 : Solving Problems With Roots
Simplify
For what value of is this equation true?
Explanation:
To solve for , we must first square both sides to get rid of the radical. We get
We subtract both sides by to ge... |
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## A Mathematics Lesson Starter Of The Day
Share
• Transum,
•
• What strategy could you use to solve a puzzle like this? I began by ca... |
# Factors Of 56 | With Easy Division and Prime Factorization
Contents
## Factors Of 56
The factors of 56 are the numbers that can be multiplied together to produce the number 56. There are no fractions or decimals associated with the number 56, so its factor pairs are those whole numbers that are either positive or ... |
Common Core: 7th Grade Math : Compute Unit Rates Associated with Ratios of Fractions: CCSS.Math.Content.7.RP.A.1
Example Questions
1 2 3 4 5 6 7 9 Next →
Example Question #81 : Compute Unit Rates Associated With Ratios Of Fractions: Ccss.Math.Content.7.Rp.A.1
Megan can clean of a house in of an hour. If she conti... |
##### Basic Math & Pre-Algebra All-in-One For Dummies (+ Chapter Quizzes Online)
An algebraic equation is an equation with at least one variable. Apply operations equally to both sides to modify an equation. For example, you can add 2 to both sides, subtract x from both sides or multiply both sides by 2. To solve an a... |
Find your Math Personality!
# Locus
Locus
In this mini-lesson, we are going to learn about the definition of locus along with some examples of locus.
We are aware of the fact that earth revolves around the sun in an elliptical orbit.
This elliptical orbit is formed by joining the positions of the earth at differen... |
# Reasoning with shape
This week is all about reasoning. The first activity extends the skills of identifying squares in different positions on a coordinate grid. What follows is a sequence of activities using properties of shape to solve problems, followed by a review of symmetry. First, by using a Venn diagram to lo... |
# Video: AQA GCSE Mathematics Foundation Tier Pack 4 • Paper 1 • Question 6
Five students each rated some chocolate bars. Their ratings are shown on the diagram. (a) Which rating was the mode? (b) Each person rated the same number of chocolate bars. How many different types of chocolate bars were rated by each person?... |
$$\newcommand{\id}{\mathrm{id}}$$ $$\newcommand{\Span}{\mathrm{span}}$$ $$\newcommand{\kernel}{\mathrm{null}\,}$$ $$\newcommand{\range}{\mathrm{range}\,}$$ $$\newcommand{\RealPart}{\mathrm{Re}}$$ $$\newcommand{\ImaginaryPart}{\mathrm{Im}}$$ $$\newcommand{\Argument}{\mathrm{Arg}}$$ $$\newcommand{\norm}[1]{\| #1 \|}$$ $$... |
What are all the factors, the prime factorization, and factor pairs of 98100?
To find the factors of 98100, divide 98100 by each number starting with 1 and working up to 98100
What is a factor in math ?
Factors are the numbers you multiply together to get another number. For example, the factors of 15 are 3 and 5 be... |
College Algebra (10th Edition)
Published by Pearson
Chapter 3 - Section 3.5 - Graphing Techniques: Transformations - 3.5 Assess Your Underdstanding: 29
Answer
$y=-\sqrt{x+3}+2$
Work Step by Step
RECALL: (i) $y=-f(x)$ involves a reflection about the x-axis of the parent function $y=f(x)$. (ii) $y=f(-x)$ involves a... |
# Blog
## Newspaper numbers
By
,
Mathematicians can find patterns wherever there are numbers. In this activity, see if there’s a pattern in the numbers inside a newspaper!
• Newspaper
• Highlighter
• Pen
• Paper
### What to do
Read through these instructions in full before starting the activity. Make a predictio... |
# Equations with Exponents
So let see how to solve ${x}^{2}\hspace{0.33em}{-}\hspace{0.33em}{7}\hspace{0.33em}{=}\hspace{0.33em}{18}$. A good first step would be to remove the -7 from the left side. We do this by adding +7:
${x}^{2}\hspace{0.33em}{-}\hspace{0.33em}{7}\hspace{0.33em}{=}\hspace{0.33em}{18}\hspace{0.33e... |
Set theory as a foundation for mathematics
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1 Set theory as a foundation for mathematics Waffle Mathcamp 2011 In school we are taught about numbers, but we never learn what numbers really are. We le... |
# More on limit rules
Proposition: If $$a_n$$ converges to $$L$$ then $$ca_n$$ converges to $$cL$$.
Definition: Divergence to infinity: A sequence $$a(n)$$ diverges to infinity if, for any $$B$$, there is an $$N$$ so that $$a(n)>B$$ if $$n\ge N$$.
Remark on calculus trick for ratio of polynomials $$P(n)/Q(n)$$: look... |
# How do you solve and check your solution given c-3/5=5/6?
Mar 29, 2017
$c = \frac{43}{30}$
#### Explanation:
Given -
$c - \frac{3}{5} = \frac{5}{6}$
$c = \frac{5}{6} + \frac{3}{5} = \frac{25 + 18}{30} = \frac{43}{30}$
$c = \frac{43}{30}$
Check the solution
Substitute $c = \frac{43}{30}$ in the equation
$\fr... |
Prealgebra
Key Concepts
PrealgebraKey Concepts
8.1Solve Equations Using the Subtraction and Addition Properties of Equality
• Determine whether a number is a solution to an equation.
1. Step 1. Substitute the number for the variable in the equation.
2. Step 2. Simplify the expressions on both sides of the equation.... |
# Re: The seven step-Mathematical preliminaries
```Bruno,
questions. marty a.
----- Original Message -----
From: "Bruno Marchal" <marc...@ulb.ac.be>```
```
>
>
> ============================================= begin
> ===============================
>
> 1) SET
>
> Informal definition: a set is a collection of object... |
<img src="https://d5nxst8fruw4z.cloudfront.net/atrk.gif?account=iA1Pi1a8Dy00ym" style="display:none" height="1" width="1" alt="" />
# Linear Equations
## Isolate multi-variable expressions for a given variable
Estimated22 minsto complete
%
Progress
Practice Linear Equations
Progress
Estimated22 minsto complete
%
Sol... |
Class 9 Inequalities in a Triangle for CBSE-NCERT
### Topic covered
color{red} ♦Inequalities in a Triangle
### Inequalities in a Triangle
So far, you have been mainly studying the equality of sides and angles of a triangle or triangles. Sometimes, we do come across unequal objects, we need to compare them.
For exa... |
<img src="https://d5nxst8fruw4z.cloudfront.net/atrk.gif?account=iA1Pi1a8Dy00ym" style="display:none" height="1" width="1" alt="" />
Special Right Triangles
Properties of 30-60-90 and 45-45-90 triangles.
Estimated5 minsto complete
%
Progress
Practice Special Right Triangles
MEMORY METER
This indicates how strong in ... |
# Relation (mathematics)
A relation "maps" elements of one set to another set. The example shows that several elements of the first set can be mapped to the same element of the second set. Both elements b and c of the first set map to element z of the second set.
In mathematics, a relation is used to describe certain... |
# HSSlive: Plus One & Plus Two Notes & Solutions for Kerala State Board
## AP Board Class 9 Maths Chapter 2 Polynomials and Factorisation Ex 2.3 Textbook Solutions PDF: Download Andhra Pradesh Board STD 9th Maths Chapter 2 Polynomials and Factorisation Ex 2.3 Book Answers
AP Board Class 9 Maths Chapter 2 Polynomials... |
## Resource of the Week: Pairs that make 20
This week it is a page from our year 2 worksheets which looks at pairs of numbers which make 20. Before doing this children should be confident with, and know by heart, all pairs of numbers which make 10. Once they know these, pairs that make 20 becomes easy; just one of eac... |
Practicing the Intermediate 1st Year Maths 1A Textbook Solutions Inter 1st Year Maths 1A Properties of Triangles Solutions Exercise 10(a) will help students to clear their doubts quickly.
## Intermediate 1st Year Maths 1A Properties of Triangles Solutions Exercise 10(a)
All problems in this exercise refer to ΔABC
I.... |
# Median vs. Average: What is the Main Difference?
When we encounter statistical data, understanding the measures that represent the data’s central tendency is crucial. Median vs. average, also known as the mean, are two such measures that often lead to confusion. While both provide valuable insights, they are calcula... |
## Green Eyes
### September 29, 2009
We haven’t done a math problem in a while. This one comes from my daughter’s high-school math class. She is never quite sure whether or not to ask me for help; sometimes she gets much more help than she really wants.
In a group of twenty-seven people, eleven have blue eyes, thirt... |
# Derivative of Inverse Function
Examples with detailed solutions on how to find the derivative (Differentiation) of an inverse function are presented. Also more exercises with answers are included.
## Derivative of Inverse Function Formula (theorem)
Let $f$ be a function and $f^{-1}$ its inverse. One of the pr... |
Breaking News
# What are all the factors, the prime factorization, and factor pairs of 60?
To find the factors of 60, divide 60 by each number starting with 1 and working up to 60
Now let us find how to calculate all the factors of 60:
2
= 30
3
= 20
4
= 15
5
= 12
6
= 10
As you can see, the factors of 60 are:
1, 2, 3... |
# How do you divide ( i-1) / (i -2 ) in trigonometric form?
Apr 10, 2016
$C = \frac{3 - i}{3} = 1 - \frac{i}{3}$
#### Explanation:
Given: $C = {C}_{n} / {C}_{d} = \frac{- 1 + i}{- 2 + i}$
Required: The resultant to ${C}_{n} / {C}_{d}$
Solution Strategy: Multiply both nominator and denominator by complex conjugate o... |
Reduce the Problem: Permutations and Modulo Arithmetic
# Reduce the Problem: Permutations and Modulo Arithmetic
We’ve all seen permutations before. If you have ten distinct items, and rearrange them on a shelf, you’ve just performed a permutation. A permutation is actually a function that is performing the arrangem... |
# Find the inverse of each of the following matrices
Question:
Find the inverse of each of the following matrices and verify that $A^{-1} A=I_{3}$.
(i) $\left[\begin{array}{lll}1 & 3 & 3 \\ 1 & 4 & 3 \\ 1 & 3 & 4\end{array}\right]$
(ii) $\left[\begin{array}{lll}2 & 3 & 1 \\ 3 & 4 & 1 \\ 3 & 7 & 2\end{array}\right]$... |
# Mathematics Extension 2 – Graphs
Graphs
## Basic Curves
Before graphing more difficult functions, it is useful to revise the graphs of commonly graphed functions. In the extension 2 course, students will often be asked to graph functions that are compositions of these equations.
### Linear Functions
Linear equat... |
# Math: Elementary School: 1st and 2nd Grade Quiz - The Language of Addition (Questions)
This Math quiz is called 'The Language of Addition' and it has been written by teachers to help you if you are studying the subject at elementary school. Playing educational quizzes is a fun way to learn if you are in the 1st or 2... |
# Right Angled Triangle | Properties and Formula
Last Updated : 19 Apr, 2024
Right Angled Triangle: A triangle is a polygon with three sides, three vertices, and three angles thus, the name Triangle. A right-angled triangle is a triangle with one right angle (90°). Right Angle Triangle plays a very important role in ... |
# Curve Fitting using Lagrange Interpolation
, 12 Sep 2008 CPOL
Rate this:
Fitting a set of points P to a curve using Lagrange Interpolation Polynomial.
## Introduction
In this article, I will explain curve fitting using the Lagrange interpolation polynomial. Curve fitting is used in a wide spectrum in engineering ... |
Associated Topics || Dr. Math Home || Search Dr. Math
### Graphing y = mx + b
```
Date: 01/20/97 at 10:58:13
From: Larry Shirley
Subject: x and y intercepts and graph
Dear Dr. Math,
I am having trouble understanding 3x + 2y = 5. This has to be in
y = mx + b form. After I get it in the proper form, how do I graph
... |
## Learn About Six Types of Angles
Many people find angles interesting and when they do, they use them to their advantage. Some people have their hands in several different kinds of angles, but there are only six main angles to worry about. These are known as: 45 degree, 90 degrees, right angle, left angle, circle and... |
# Associative Property of Multiplication : Definition, Examples & Problems
## What is Associative Property of Multiplication?
According to the property, forming different groups in the multiplication will not affect the end result.
The property can be expressed as:
Where A, B & C can be any possible real number
No... |
# Finding the Factors of 65
The factors of a number are the numbers that divide evenly into it, leaving no remainder. To find the factors of 65, we can start by dividing 65 by the smallest possible factor, which is 1. Since 65 divided by 1 equals 65, we know that 1 is a factor of 65.
Next, we can try dividing 65 by 2... |
# Fraction Calculator
Thanks to our free Fraction Calculator You can easily calculate the sum, the difference, the product or the quotient of two fractions. Under the Fraction Calculator, you will also find the rules used for the addition, subtraction, multiplication and division of fractions.
## Fraction Calculator
... |
# Video: Graphing a Rational Function Using Derivatives
Which of the following is the graph of the function 𝑓(𝑥) = 1/(10𝑥² + 10𝑥)? [A] Graph A [B] Graph B [C] Graph C [D] Graph D [E] Graph E
06:27
### Video Transcript
Which of the following is the graph of the function 𝑓 of 𝑥 is one over 10𝑥 squared plus 10�... |
AB is a chord of a circle with centre O and radius 4 cm.
Question:
AB is a chord of a circle with centre O and radius 4 cm. AB is of length 4 cm and divides the circle into two segments. Find the area of the minor segment.
Solution:
We know that the area of minor segment of angle θ in a circle of radius r is,
$A=\... |
# AP Statistics Curriculum 2007 Hypothesis L Mean
(Difference between revisions)
Revision as of 19:01, 14 June 2007 (view source)IvoDinov (Talk | contribs)← Older edit Current revision as of 15:48, 22 May 2013 (view source)IvoDinov (Talk | contribs) m (→Hypothesis Testing About a Mean: Large Samples) (27 intermediate... |
## Thursday, May 16, 2013
### How I Teach My Boy More Than And Less Than
By teaching my boy on my own, I can work on his weakness and often I will need to think creatively on how to teach him, especially Math.
One of the crazy methods I have thought him is Number Bonds when he was Primary 1.
Now as he is learning 2... |
Polygonal Numbers
A polygonal number is defined as "A type of figurate number which is a generalization of triangular, square, etc., numbers to an arbitrary n-gonal number. The above diagrams graphically illustrate the process by which the polygonal numbers are built up." (Mathworld.wolfram.com) Every student of schoo... |
## Riddler Express
Once a week, folks from Blacksburg, Greensboro, and Silver Spring get together for a game of pickup basketball. Every week, anywhere from one to five individuals will show up from each town, with each outcome equally likely.
Using all the players that show up, they want to create exactly two teams ... |
## Year 2 Lesson Plan 9 - Pythagorean Theorem
1. (5 min) Mental Math
1. Take 20% of 200, then add 50 [90]
2. Take 1/5 of 45, then subtract 6 [3]
3. Take 30% of 80, then multiply by 2 [48]
4. If 100% of 60 is 60, what is 400% of 60? [240]
5. What is 2/5 of 100? [40]
2. (5 min) Review of selected problems from lesson 8 ... |
How do you write a polynomial in standard form, then classify it by degree and number of terms 3k^5+4k^2-6k^5-5k^2?
Mar 22, 2016
standard form: $- 3 {k}^{5} - {k}^{2} = 0$
number of terms: $2$
degree of polynomial in standard form: $5$
Explanation:
Determining the Standard Form of the Polynomial
Notice how your equ... |
1
Q:
# A family consists of grandparents, parents and three grandchildren. The average age of the grandparents is 67 years, that of the parents is 35 years and that of the grandchildren is 6 years. What is the average age of the family ?
A) 31( 5/7) B) 32 (6/7) C) 34(4/7) D) 35(4/9)
Explanation:
Required average =... |
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