text stringlengths 22 1.01M |
|---|
THEORETICAL PROBABILITY OF COMPOUND EVENTS WORKSHEET
About "Theoretical probability of compound events worksheet"
Theoretical probability of compound events worksheet :
Worksheet on theoretical probability of compound events is much useful to the students who would like to practice problems on theoretical probabilit... |
Converse of Pythagoras Theorem
As we know, the Pythagoras (Pythagorean) Theorem states that for a right angle triangle, the square of the hypotenuse is equal to the sum of the squares of the other 2 sides.
The above relation is mathematically represented as,
a2 + b2 = c2, c = length of the hypotenuse, a & b are the ... |
1. ## The Locker Problem
A new school is being opened. The school has exactly 1000 lockers and 1000 students. On the first day of school, the students meet outside the building and agree on the following plan: The first student will enter the school and open all of the lockers. The second student will enter and close ... |
# Proper and improper fractions. Mixed numbers
A concise but great lesson about improper fractions, proper fractions, and mixed numbers.
Improper fractions:
Fractions with a numerator that is bigger than the denominator.
For instance, the following fractions are improper.
9 / 2 , 7 / 4 ,and 8 / 3
Proper frac... |
# AP Calculus AB : Asymptotic and Unbounded Behavior
## Example Questions
### Example Question #3 : Finding Definite Integrals
Explanation:
Remember the fundamental theorem of calculus!
Since our , we can't use the power rule. Instead we end up with:
Remember to include the for any anti-derivative or integral ta... |
# CBSE Class 10 Maths Chapter 6 Notes Triangles
## CBSE Class 10 Maths Chapter 6 Notes Triangles
### Triangles Class 10 Notes Understanding the Lesson
In X standard we have learnt about congruent figures.
Congruent figure: Those two geometric figures having the same shape and size are known as congruent figures.
#... |
# How do you find the determinant of ((5, 2, 0, 0, -2), (0, 1, 4, 3, 2), (0, 0, 2, 6, 3), (0, 0, 3, 4, 1), (0, 0, 0, 0, 2))?
Feb 26, 2016
$- 100$
#### Explanation:
The easiest way to calculate this determinant is by eliminating the number 3 in column 3 row 4.
This can be done by multiplying column 4 by $\left(- \fr... |
Suggested languages for you:
Americas
Europe
Problem 439
# A rectangle, the lengths of whose base and altitude are in the ratio $$4: 1$$, is equivalent to a square, the length of whose side is 6 inches. Find the dimensions of the rectangle.
Expert verified
The dimensions of the rectangle are 12 inches by 3 inches.... |
# How do you simplify sqrt7( sqrt35 + sqrt 7)?
##### 1 Answer
Aug 8, 2017
See a solution process below:
#### Explanation:
First, multiply each term within the parenthesis by the term outside the parenthesis:
$\textcolor{red}{\sqrt{7}} \left(\sqrt{35} + \sqrt{7}\right) \implies$
$\left(\textcolor{red}{\sqrt{7}} \t... |
Bayes Theorem
# 2 is dd so 100 and the last fraction is the
• Notes
• 3
This preview shows pages 1–3. Sign up to view the full content.
or dd (so, 1/2 for either), the second is the probability that II.2 is dd (so, 100%), and the last fraction is the probability that the children are all dd given that the II.1 is e... |
# What Is 6/30 as a Decimal + Solution With Free Steps
The fraction 6/30 as a decimal is equal to 0.2.
Two integers expressed as a ratio form a Fraction. These numbers are then divided to get a solution. The solution will be a whole number if we are able to completely divide both the numbers. Otherwise, it will be a ... |
# Difference between revisions of "2018 AMC 10A Problems/Problem 9"
All of the triangles in the diagram below are similar to iscoceles triangle $ABC$, in which $AB=AC$. Each of the 7 smallest triangles has area 1, and $\triangle ABC$ has area 40. What is the area of trapezoid $DBCE$?
$[asy] unitsize(5); dot((0,0)); d... |
# Coordinates of one side of triangle ABC are B(3, 1) and C(1, 5) and AB : AC = 2 : 3. If AD and AE represent the angle bisector and median from A, then distance DE will be:
1. $$\frac{1}{3}$$
2. $$\frac{2}{3}$$
3. $$\frac{1}{\sqrt 5}$$
4. $$\frac{1}{5}$$
Option 3 : $$\frac{1}{\sqrt 5}$$
## Detailed Solution
Concep... |
# 2.07 Estimation and multistep questions
Lesson
## Are you ready?
Do you remember how we can round numbers, to help us simplify some number problems?
Round $3322$3322 to the nearest thousand.
## Learn
When we solve addition and subtraction problems, estimating our answer gives us an idea of what to expect. In th... |
# Connexions
You are here: Home » Content » Analysis of Functions of a Single Variable » Intervals and Approximation
### Recently Viewed
This feature requires Javascript to be enabled.
Inside Collection (Textbook):
Textbook by: Lawrence Baggett. E-mail the author
# Intervals and Approximation
Module by: Lawrence... |
Bernoulli Differential Equations
Bernoulli Differential Equations
We are now going to look at a method for solving another class of differential equations. Let $p(x)$ and $g(x)$ be continuous on an interval of interest, and consider the following non-linear differential equation:
(1)
\begin{align} \quad y' + p(x)y =... |
Checkout JEE MAINS 2022 Question Paper Analysis : Checkout JEE MAINS 2022 Question Paper Analysis :
LCM of 2, 4 and 6
LCM of 2, 4 and 6 is 12. The value evenly divisible by the numbers 2, 4 and 6 is the LCM. The multiples common among the two numbers will assist you to know the least common multiple of 2, 4 and 6. Th... |
Survey
* Your assessment is very important for improving the work of artificial intelligence, which forms the content of this project
Document related concepts
Euler angles wikipedia, lookup
Noether's theorem wikipedia, lookup
Trigonometric functions wikipedia, lookup
History of trigonometry wikipedia, lookup
Pe... |
# MAT 112 Integers and Modern Applications for the Uninitiated
## Section15.3Fast Exponentiation
In Section 15.2 we saw that powers whose exponents are powers of two can be computed very efficiently. In the fast exponentiation strategy developed in this section we write any powers such that it can be computed as a pr... |
# Solving Proportion Problems
Tags: Ap Us History Document Based EssayEffects Of Moving To Another Country EssayChild Memories EssayDiscrimination And Segregation EssaysSingle Mothers Struggle Survive EssayLiterature Review On EducationDerek Mahon Leaving Cert EssayEmbroidery EssaysSample Of Marketing Plan For Small B... |
Multiplicative Inverse
In mathematics , a multiplicative inverse or reciprocal for a number X , denoted by 1/ X or X-1 , is a number which when multiplied by X yields the multiplier identity , 1. The inverse of a multiplier of the numerator a / b is b / a . For the multiplicative inverse of a real number, divide 1 by ... |
If you are a teacher then please also visit my new site: intermathematics.com for over 2000+ pdf pages of resources for teaching IB maths!
Sequence Investigation
This is a nice investigation idea from Nrich. The above screen capture is from their Picture Story puzzle. We have successive cubes – a 1x1x1 cube, a 2x2x... |
# Multiplication and Addition with the Number 2: A Guide for Educators
## Multiplication and Addition with the Number 2: A Comprehensive Guide for Educators
In the realm of elementary mathematics, mastering the concepts of multiplication and addition is crucial for young learners. Among the fundamental numbers that p... |
## Solving Systems of Equations Using the Elimination Method
There are two ways to solve a system of linear equations. This post focuses on the elimination method. There are two examples of using the elimination method to solve a system of equations in this post.
When solving a system of two equations with eliminatio... |
{[ promptMessage ]}
Bookmark it
{[ promptMessage ]}
Suggested problems_Chp 4 sol
# Suggested problems_Chp 4 sol - Suggested problems for...
This preview shows pages 1–4. Sign up to view the full content.
Suggested problems for Chapter 4 - Solutions 1. (4.3) Simple interest is earned only on the principal. Interes... |
# Lesson 3
Sample Spaces
• Let’s look closer at sample spaces.
### 3.1: Rolling Cubes
When rolling two standard number cubes, one of the possible outcomes is 1 and 1.
1. What are the other possible outcomes?
2. How many outcomes are in the sample space?
### 3.2: Spinner Sample Space
Each of the spinners is spun ... |
What's the percentage of 9 out of 13?
Welcome to Warren Institute! In the realm of Mathematics education, understanding percentages is a fundamental skill. In this article, we will explore the concept of converting fractions to percentages, specifically addressing the question: "What is 9 out of 13 as a percentage?" J... |
Lesson Plan: Lesson plans were written by Maryland mathematics educators and could be used when teaching the concepts.
Goal 2 Geometry, Measurement, And Reasoning Expectation 2.3 The student will apply concepts of measurement using tools and technology when appropriate. Indicator 2.3.1 The student will use algebraic a... |
# Eureka Math Grade 3 Module 5 Lesson 1 Answer Key
## Engage NY Eureka Math 3rd Grade Module 5 Lesson 1 Answer Key
### Eureka Math Grade 3 Module 5 Lesson 1 Problem Set Answer Key
Question 1.
A beaker is considered full when the liquid reaches the fill line shown near the top. Estimate the amount of water in the bea... |
# How to Find a Certain Term, Given Two Terms in a Geometric Sequence?
The nth Term Of A Geometric Sequence
If {an} is a geometric sequence with common ratio r, then
a2=a1r
a3=a2r=a1r2
a4=a3r=a1r3
an=a1r(n-1) for every n>1
Example 1: Finding a Term in a Geometric Sequence
In a geometric sequence, the third term is ... |
# Converting Product into Sum or Difference
We will learn how to deal with the formula for converting product into sum or difference.
(i) the product of a pair of sine and cosine into the sum of two sines
(ii) the product of a pair of cosine and sine into the difference of two sines
(iii) the product of two cosines... |
# Ex.14.2 Q3 Factorization - NCERT Maths Class 8
Go back to 'Ex.14.2'
## Question
Factorise the expressions
(i) \begin{align}a{x^2} + bx\end{align}
(ii) \begin{align}7{p^2} + 21{q^2}\end{align}
(iii) \begin{align}2{x^3} + 2x{y^2} + 2x{z^2}\end{align}
(iv) \begin{align}a{m^2} + b{m^2} + b{n^2} + a{n^2}\end{align... |
Select Page
Answer: We often hear from people who wonder why Grade 3 starts with a multiplication and division unit—just like it did in the 1st edition!—rather than an addition and subtraction unit. As we decided on the sequence of the units in any grade, we considered many different things. The most important was the... |
### Section 2-5: Proving Angles Congruent
```Section 2-5: Proving Angles
Congruent
Goal 2.02: Apply properties,
definitions, and theorems of angles
and lines to solve problems and write
proofs.
Essential Questions
1. How are vertical, complementary, and
supplementary angles identified?
2. What are the theorems about a... |
Question
# What should be taken away from $3{{x}^{2}}-4{{y}^{2}}+5xy+20$ to obtain $-{{x}^{2}}-{{y}^{2}}+6xy+20$?
Hint: Take the quantity that should be taken away as P then write the equation as $3{{x}^{2}}-4{{y}^{2}}+5xy+20-P=-{{x}^{2}}-{{y}^{2}}+6xy+20,$ then, do necessary operations to get P which is the answer.
... |
# Dot Product Calculator
Input the values of vectors a & b and click the calculate button to find a.b using dot product calculator
First vector (a)
i
j
k
Second vector (b)
i
j
k
Give Us Feedback
## Dot product calculator
Dot product calculator is used to find the dot product of two vectors. It calculates the do... |
## Explanation and Instructions
We are that taught you divide fractions by multipling the fraction to be divided by the reciprocal of the fraction we are dividing by. (NOTE: The PRODUCT of a number multiplied by its RECIPROCAL is 1.) In these exercises, the reason why this is done is stressed.
First we point out that... |
## How to Convert Percent into Fractions and Decimals
In this lesson, we will learn how to
Convert
1. Decimal into percent
Convert 0.25 into a percentage.
Solution:
First express 0.25 as a fraction with 100 in the denominator.
Write 100 in denominator for the two digits after the decimal point,
Therefore,
0.25... |
Contenus
## Corrected exercises about flow problems
This page contains various corrected exercises about max flow problems. Those problems use mainly the Ford-Fulkerson algorithm and the min-cut solution.
## Exercise 1
Using the Ford-Fulkerson method, compute a maximal flow in the following network:
## Exercise 2
... |
# Search by Topic
#### Resources tagged with Angle properties of shapes similar to Exploring 2D Shapes:
Filter by: Content type:
Stage:
Challenge level:
### There are 21 results
Broad Topics > 2D Geometry, Shape and Space > Angle properties of shapes
### Arclets Explained
##### Stage: 3 and 4
This article gives ... |
# Common Core: 3rd Grade Math : Unit Squares Used to Measure Area: CCSS.Math.Content.3.MD.C.5a
## Example Questions
← Previous 1
### Example Question #1 : Unit Squares Used To Measure Area: Ccss.Math.Content.3.Md.C.5a
How many square units make up the area of the shape below?
Explanation:
The shape is made up of ... |
# Statements In Mathematical Reasoning
The concept of mathematical reasoning helps in deciding whether the given statement is correct or wrong. It is mainly dependent upon the statement. We can define mathematical reasoning as the logic used to know either the statement is true or false. This concept is widely used in... |
1 / 26
# Chapter 2 Functions and Graphs - PowerPoint PPT Presentation
Chapter 2 Functions and Graphs. Section 5 Exponential Functions. Exponential Function. The equation
I am the owner, or an agent authorized to act on behalf of the owner, of the copyrighted work described.
Download Presentation
## PowerPoint Slide... |
Griffiths problem 1.4 Use the cross product to find the components of the unit vector n perpendicular to the plane shown in Fig. 1.11.
# Griffiths problem 1.4 Use the cross product to find the components of the unit vector n perpendicular to the plane shown in Fig. 1.11.
P
945 points
Use the cross product to find th... |
# How do you divide (x^3 - 12x^2 -5x + 6)/(x-2)?
May 16, 2017
${x}^{2} - 10 x - 25 - \frac{44}{x - 2}$
#### Explanation:
$\text{one way is to use the divisor as a factor in the numerator}$
$\text{consider the numerator}$
$\textcolor{red}{{x}^{2}} \left(x - 2\right) \textcolor{m a \ge n t a}{+ 2 {x}^{2}} - 12 {x}^... |
# If the area of a square is 225 cm2, what is perimeter?
##### 1 Answer
Oct 3, 2017
See a solution process below:
#### Explanation:
The formula for the area of a square is:
$A = {s}^{2}$
Where:
$A$ is the area of the square.
$s$ is the length of the side of a square.
Substituting and solving for $s$ gives:
$2... |
Home Math Stable Shapes | Primary Geometric Shapes | Widespread Stable Figures
### Stable Shapes | Primary Geometric Shapes | Widespread Stable Figures
We are going to talk about about fundamental strong shapes. We see quite a lot of strong objects in our environment.
We all know these objects. If we transfer them, ... |
What can the maximum number of digits be in the repeating block of digits in the decimal expansion of $$\frac { 1 }{ 17 }$$? Can you write it in the form $$\frac { p }{ q }$$,where p and q are integers and q â 0? As there is only one repeating digit, Ex 1.4 Class 9 Maths Question 1. â 9x = 9 â x = $$\frac { 9 }{ 9... |
# Approximating a function with a polynomial
Polynomial approximation is closely related to interpolation (interpolation is discussed in here). In interpolation, we are given a set of points to fit a polynomial to. We know nothing about the function being interpolated except the values we are given, so we have to use ... |
# Solve for x using properties of logarithms: log2(32)-log3(x)=log5(25)?
Feb 22, 2018
$x = 1$
#### Explanation:
Since ${2}^{5} = 3 \textcolor{w h i t e}{\text{xx")harrcolor(white)("xx}} {\log}_{2} \left(32\right) = 5$
and $\textcolor{w h i t e}{\text{x")5^2=25color(white)("xx")harrcolor(white)("xx}} {\log}_{5} \lef... |
# Gravity Velocity Equations for Objects Projected Downward
by Ron Kurtus (revised 15 March 2018)
When you throw or project an object downward, it is accelerated until it is released at some velocity. If you know this initial velocity, there are simple derived equations that allow you to calculate the velocity when t... |
# Selina Concise Mathematics Class 6 ICSE Solutions Chapter 18 Fundamental Concepts
## Selina Concise Mathematics Class 6 ICSE Solutions Chapter 18 Fundamental Concepts
Selina Publishers Concise Mathematics Class 6 ICSE Solutions Chapter 18 Fundamental Concepts
### Fundamental Concepts Exercise 18A – Selina Concise ... |
# What is the angle of an equilateral polygon?
## What is the angle of an equilateral polygon?
Examples. All regular polygons and isotoxal polygons are equilateral. An equilateral triangle is a regular triangle with 60° internal angles. An equilateral quadrilateral is called a rhombus, an isotoxal polygon described b... |
# Formation of Quadratic Equation in One Variable
We will learn about the formation of quadratic equation in one variable from a mathematical problem.
Consider the following examples:
1. Length of a rectangular park is 40 metres more than its breadth. Area of the park is 2304 square metres.
Now we will learn how to... |
Difference between revisions of "2019 AMC 10B Problems/Problem 8"
Solution
We notice that the square can be split into 4 congruent squares with the altitude of the equilateral triangle being the side of the square. Therefore, the area of each shaded part that resides within a square is the total area of the square su... |
Skip to main content
## Section4.2Double Integrals: Volume and Average Value
Consider a surface $f(x,y)\text{.}$ In this section, we are interested in computing either the volume under $f$ or the average function value of $f$ over a certain area in the $x$-$y$-plane. You might temporarily think of this surface as rep... |
In order to add two or more polynomials together, we simply combine like terms. When we need to subtract one polynomial from another, we change the operation into the addition of the opposite. Recall that a - b = a + (-b). To use this concept, we begin by placing the polynomial being subtracted away inside of a set of ... |
# The hypotenuse of a right-angled triangle is larger than one of the legs by 4 cm and the second
The hypotenuse of a right-angled triangle is larger than one of the legs by 4 cm and the second by 18 cm. Find the perimeter of the triangle.
Consider a right-angled triangle with a hypotenuse, the length of which is gre... |
# 4.7 Gravitational potential (Page 2/3)
Page 2 / 3
$\text{Δ}U=-\underset{{r}_{1}}{\overset{{r}_{2}}{\int }}{F}_{G}dr$
Clearly, change in gravitational potential is equal to the negative of work by gravitational force as a particle of unit mass is brought from one point to another in a gravitational field. Mathema... |
# Past Papers’ Solutions | Assessment & Qualification Alliance (AQA) | AS & A level | Mathematics 6360 | Pure Core 1 (6360-MPC1) | Year 2008 | June | Q#6
Hits: 30
Question
The polynomial p(x) is given by .
a. Use the Remainder Theorem to find the remainder when p(x) is divided by x-1 .
b.
i. Use the Fact... |
If you're seeing this message, it means we're having trouble loading external resources on our website.
If you're behind a web filter, please make sure that the domains *.kastatic.org and *.kasandbox.org are unblocked.
## Precalculus
### Course: Precalculus>Unit 3
Lesson 7: Graphically multiplying complex numbers
... |
# Use Multiplicative Counting
In this worksheet, students will use the method of multiplicative counting to calculate the total number of possible outcomes of linked events, taking into account dependent events (when the result in an earlier choice affects the later choices) or repeated outcomes.
Key stage: KS 4
Ye... |
## Tuesday, August 27, 2013
### What is the 90th percentile and how to calculate 90th percentile?
Before explaining the 90th percentile let’s see what is percentile. A percentile is a measure used in statistics indicating the value below which a given percentage of observations in a group of observations fall.
For e... |
# Parabolic Reflector
Parabolic Reflector Dish
Solar Dishes such as the one shown use a paraboloid shape to focus the incoming light into a single collector.
# Basic Description
The geometry of a parabola makes this shape useful for solar dishes. If the dish is facing the sun, beams of light coming from the sun are ... |
$$\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 \|}$$ $$... |
# How to Solve for $x$ in a Particular Exponential Equation
I am trying to solve for $$x$$ in
$$x^2=(16)^{2x}.$$
So I started this way: I took square root of both sides and got
$$x=16^x$$
Then I took the logarithm of both sides and got $$\log x=x \log 16.$$
This is where I got stuck.
• $x^2 = 4$ does not imply $... |
# Graphing Systems of Inequalities
## Key Questions
• A linear inequality is in the form:
$a x + b y > c$ or ax + by < c.
First, graph the line ax + by - c = 0 by the 2 y-intercepts and x-intercepts.
Then find the area (above or below the line) that make the inequality true. You may use the origin O (0, 0) as test... |
Courses
Courses for Kids
Free study material
Free LIVE classes
More
Composition of Functions
LIVE
Join Vedantu’s FREE Mastercalss
What is Composition of Functions?
In Mathematics, generally, we refer to a function as a rule that describes and relates a given set of inputs to a set of relevant possible outputs. The ... |
# How do you find the square root of 38.94?
Aug 5, 2016
$= 6.24$
#### Explanation:
$\sqrt{38.94}$
$= 6.24$
Aug 5, 2016
You find it numerically. The actual square root is $\approx 6.2402$.
The pattern with squares to get ${\left(n + 1\right)}^{2}$ is to add the sum of $n$ and $n + 1$ onto ${n}^{2}$:
$\textcolor{... |
### Home > CALC > Chapter 1 > Lesson 1.2.5 > Problem1-90
1-90.
Simplify the following functions. Without a calculator, sketch each graph, showing roots, holes and asymptotes. Then, state the domain in parts (a) and (b) using interval notation and the domain in parts (c) and (d) using set notation. .
1. $y = \frac { ... |
# How much is 3 percent of nine over ten
### Percentage Calculator 2
is what percent of ? Answer: %
### Percentage Calculator 3
We think you reached us looking for answers to questions like: What is 3 percent of nine over ten? Or maybe: How much is 3 percent of nine over ten
See the detailed solutions to these pro... |
# Word problem solver online
Word problem solver online is a software program that helps students solve math problems. We will also look at some example problems and how to approach them.
## The Best Word problem solver online
Here, we will show you how to work with Word problem solver online. Geometry is the math o... |
# Trigonometry
Trigonometry, derived from the Greek words “trigonon” (triangle) and “metron” (measure), is a branch of mathematics that explores the relationships between the angles and sides of triangles. It has been an integral part of mathematical knowledge for centuries, with its origins dating back to ancient civ... |
# Video: Creating and Solving Simultaneous Equations from Word Problems
In a test with 20 questions, 𝑥 marks are awarded for each correct answer and 𝑦 marks are deducted for each incorrect answer. Benjamin answered 12 questions correctly and 8 questions incorrectly, and he scored 44 points. Emma answered 14 question... |
# 2002 AMC 12A Problems/Problem 12
The following problem is from both the 2002 AMC 12A #12 and 2002 AMC 10A #14, so both problems redirect to this page.
## Problem
Both roots of the quadratic equation $x^2 - 63x + k = 0$ are prime numbers. The number of possible values of $k$ is
$\text{(A)}\ 0 \qquad \text{(B)}\ 1 ... |
# Compound Angle Formulae
The important trigonometrical ratios of compound angle formulae are given below:
sin (A + B) = sin A cos B + cos A sin B
sin (A - B) = sin A cos B - cos A sin B
cos (A + B) = cos A cos B - sin A sin B
cos (A - B) = cos A cos B + sin A sin B
sin ( A + B) sin (A - B) = sin^2 A – sin^2 B = ... |
# Pi Day Puzzle Hunt
I’ll post more later, but here’s a sneak preview of this year’s Pi Day Puzzle Hunt. We’ve been working on this for months, and it finally happens next week. Here we go!
# Area models for multiplication throughout the K-12 curriculum
Let’s take a look at area models, shall we?
My thesis today is... |
```NAME _____________________________________________ DATE ____________________________ PERIOD _____________
Solve by Graphing
an equation of the form ax2 + bx + c = 0, where a ≠ 0
The solutions of a quadratic equation are called the roots of the equation. The roots of a quadratic equation can be found
by graphing the ... |
# Logic — the Art of Reasoning
Mathematics — the Art of Studying Patterns Using Logic
# The Number Chain (cont'd)
### Editorial Note
This document is a work in progress. At this time it contains only the introduction to the number chain and very few activities. Additional information and activities can be found in... |
Home Practice
For learners and parents For teachers and schools
Textbooks
Full catalogue
Pricing Support
We think you are located in United States. Is this correct?
# 1.3 Rational and irrational numbers
## 1.3 Rational and irrational numbers (EMA4)
Rational number
A rational number ($$\mathbb{Q}$$) is any number w... |
# Conditional Probability
In document Introductory Statistics (Page 136-140)
Suppose a fair die has been rolled and you are asked to give the probability that it was a five. There are six equally likely outcomes, so your answer is 1/6. But suppose that before you give your answer you are given the extra information t... |
# Draw a triangle ABC in which AB = 5 cm, BC = 6 cm and ∠ABC = 60°. Construct a triangle similar to ∆ABC with scale factor 57. Justify the construction. - Mathematics
Diagram
Sum
Draw a triangle ABC in which AB = 5 cm, BC = 6 cm and ∠ABC = 60°. Construct a triangle similar to ∆ABC with scale factor 5/7. Justify the c... |
Question Video: Finding the Roots of a Negative Number in Trigonometric Form of Complex Numbers | Nagwa Question Video: Finding the Roots of a Negative Number in Trigonometric Form of Complex Numbers | Nagwa
# Question Video: Finding the Roots of a Negative Number in Trigonometric Form of Complex Numbers Mathematics •... |
Courses
Courses for Kids
Free study material
Offline Centres
More
Store
# Reynold number $\left( R \right)$ determines whether or not the flow of a liquid through a pipe is streamlined. This constant is a combination of velocity $\left( v \right)$, density $\left( \rho \right)$, coefficient of viscosity $\left( n \rig... |
Edit Article
# wikiHow to Differentiate Polynomials
Differentiating a polynomial function can help track the change of its slope. To differentiate a polynomial function, all you have to do is multiply the coefficients of each variable by their corresponding exponents, lower each exponent by one degree, and remove any... |
# 3-1 Asymptotic behavior of polynomials
Let
$$p(n) = \sum_{i = 0}^d a_i n^i,$$
where $a_d > 0$, be a degree-$d$ polynomial in $n$, and let $k$ be a constant. Use the definitions of the asymptotic notations to prove the following properties.
a. If $k \ge d$, then $p(n) = O(n^k)$.
b. If $k \le d$, then $p(n) = \Ome... |
# Indirect Measurement and Trigonometry Part A: Indirect Measurement With a Transit (40 minutes)
## Session 5, Part A
### In This Part
• Similar Triangles
• Using Similar Triangles
• Measuring Distances
### Similar Triangles
One way to measure indirectly is to use similar triangles. In similar figures, correspondi... |
# Statistics - Circular Permutation
Circular permutation is the total number of ways in which n distinct objects can be arranged around a fix circle. It is of two types.
• Case 1 − Clockwise and Anticlockwise orders are different.
• Case 2 − Clockwise and Anticlockwise orders are same.
## Case 1 − Formula
${P_n = ... |
Section B: Practice Problems More Types of Story Problems
Section Summary
Details
In this section, we solved story problems with more than one solution.
Han squeezed 9 pieces of fruit to make juice.
Some of the fruits were satsumas.
The rest of the fruits were grapefruits.
How many of the fruits were satsumas?
Then... |
# Fraction Operations Poly-Partners Activity
Subject
Resource Type
File Type
PDF
(20 MB|30 pages)
Product Rating
Standards
• Product Description
• StandardsNEW
Subtracting Fractions
Multiplying Fractions
Dividing Fractions
Comparing Fractions
Each student gets a fraction card. I hole punch each one and create a... |
Solve the inequality (x+3)(2x-3) < 0 .
sciencesolve | Certified Educator
You need to attach the equation to the given inequality, such that:
`(x+3)(2x-3) = 0 => {(x + 3 = 0),(2x - 3 = 0):} => {(x = -3),(x = 3/2):}`
You need to consider a value for `x in (-3,3/2)` , such that:
`x = 0 => (0+3)(2*0-3) = -9 < 0`
You... |
# Multiples of 24
Created by: Team Maths - Examples.com, Last Updated: May 24, 2024
## Multiples of 24
Multiples of 24 are the numbers that result from multiplying 24 by integers. In mathematics, these numbers can be expressed as 24, 48, 72, and so on, showcasing the results of multiplication. Each multiple of 24 ca... |
# How do you find the inverse of A=((-5, 1, 4), (-1, 4, 5), (-1, 0, -1))?
Dec 17, 2016
The answer is $= \left(\begin{matrix}- \frac{2}{15} & \frac{1}{30} & - \frac{11}{30} \\ - \frac{1}{5} & \frac{3}{10} & \frac{7}{10} \\ \frac{2}{15} & - \frac{1}{30} & - \frac{19}{30}\end{matrix}\right)$
#### Explanation:
First we... |
## Symmetric Polynomials (II)
When we move on to n=3 variables, we now have, as basic building blocks,
$P(x,y,z) = x+y+z,\quad Q(x,y,z) = xy+yz+zx, \quad R(x,y,z) = xyz.$
These are just the coefficients of $T^i$ in the expansion of $(T-x)(T-y)(T-z)$. Once again, any symmetric polynomial in x, y, z with integer coeff... |
### Pre-Algebra
Welcome to Pre-Algebra! This course can serve as a first introduction to algebra, a refresher for someone who hasn't studied it in a while, or another perspective for someone learning the fundamentals of algebra.
There's a common perception of algebra as "putting letters to arithmetic" as in the equat... |
<meta http-equiv="refresh" content="1; url=/nojavascript/">
You are viewing an older version of this Concept. Go to the latest version.
# Fundamental Theorem of Algebra
%
Progress
Practice Fundamental Theorem of Algebra
Progress
%
Finding Imaginary Solutions
Louis calculates that the area of a rectangle is represent... |
viewsearch.php
The Eduladder is a community of students, teachers, and programmers just interested to make you pass any exams. So we solve previous year question papers for you.
See Our team
Wondering how we keep quality?
Got unsolved questions?
class-5-math-->View question
Take a thick paper sheet of length 14 cm a... |
# How do you divide (-4+5i) / (-1+6i) in trigonometric form?
$\frac{1}{37} \left(34 + 19 i\right)$
#### Explanation:
We have
$\setminus \frac{- 4 + 5 i}{- 1 + 6 i}$
$= \setminus \frac{\setminus \sqrt{41} {e}^{i \left(\setminus \pi - \setminus {\tan}^{- 1} \left(\frac{5}{4}\right)\right)}}{\setminus \sqrt{37} {e}... |
# Video: Determining the Quotient of Two Functions and Its Domain
Given that πβ: (ββ, 2] βΆ β such that πβ(π₯) = π₯ + 5 and πβ: (ββ, β1) βΆ β such that πβ(π₯) = 2π₯Β² β π₯ β 6, find (πβ/πβ)(π₯) and state its domain.
02:37
### Video Transcript
Given that ... |
## Category: Multiplication
### Distributive property of multiplication
We break down the distributive property in multiplication to help you better understand more complex maths problems.
### Identity property of multiplication
The identity property of multiplication is a fundamental rule of learning multiplicatio... |
Subsets and Splits
No community queries yet
The top public SQL queries from the community will appear here once available.