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Calculators do a lot of the hard work for you, so why would you need to use a calculator more efficiently? Using a calculator efficiently is a good habit to get into, as soon as you can. Efficient use of your calculator can save you time in exams, save you time when you’re doing homework, and give you more accurate ans... |
# How do you find the derivative of f(x)=ax^2?
Jan 9, 2017
$\frac{d}{\mathrm{dx}} \left(a {x}^{2}\right) = 2 a x$
#### Explanation:
This is an application of a basic differentiation rule:
$\frac{d}{\mathrm{dx}} {x}^{n} = n \cdot {x}^{n - 1}$
In this case:
$\frac{d}{\mathrm{dx}} \left(a {x}^{2}\right) = a \cdot \... |
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# In $\Delta ABC$ fig. $\angle x+\angle y+\angle z$ is equals to:A. 120B. 180C. 240D. 360
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Hint: We can solve these triangle angle problems easily, through th... |
# Divisibility of composite numbers
I am having difficulty in solving following types of problem:
Sometimes we are given a number in terms of $n$ and we have to check whether it is divisible by a particular composite number. For example, I am posting a question here
suppose $k= n^5- n$ then prove that $k$ is divisib... |
# Brackets & Factors OCR Stage 6. What is 3(2 + 4) ? 3 ‘lots’ of ‘2 + 4’= 3 ‘lots’ of 6= 18 2 4 3 x 6 12 = 18.
## Presentation on theme: "Brackets & Factors OCR Stage 6. What is 3(2 + 4) ? 3 ‘lots’ of ‘2 + 4’= 3 ‘lots’ of 6= 18 2 4 3 x 6 12 = 18."— Presentation transcript:
Brackets & Factors OCR Stage 6
What is 3(2 ... |
# How do you solve x^2 - 4x + 7 =0 by completing the square?
Aug 10, 2017
$x = 2 \pm \sqrt{3} i$
#### Explanation:
Given:
${x}^{2} - 4 x + 7 = 0$
While completing the square we will find that this takes the form of the sum of a square and a positive number. As a result it has no solution in real numbers, but we c... |
# Decimal Lesson Plans for Parents and Teachers
In most school curriculums, decimals are presented in fourth grade, improved in fifth grade and perfected in sixth grade. Keep reading for tips on how to teach decimals at home or in the classroom.
## Tips for Teaching Decimals to Children
### Commonalities of Fraction... |
# Mathdoku Techniques
This is our starting grid for our example. What people usually find most intimidating about Mathdoku puzzles the first time they tackle them is that there is no obvious starting point. Best place to start is to look for a group of cells that have limited possibilites. Look at the two hilighted c... |
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A vertically straight tree, 15 m high, is broken by the wind in such a way that its top just touches the ground and makes an angle of 60 degrees with the ground. At what height from the ground did the tree break?
Last updated date: 23rd Jul 2024
... |
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# What Are The Prime Factors Of 77?
• The prime factors of number 77 are: 7, 11
• Determined equcation for number 77 factorization is: 7 * 11
## Is 77 A Prime Number?
• No the number 77 is not a prime number.
• Seventy-seven is a composite number. Because 77 has mo... |
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# Year Seven Mathematics Worksheets
Math can be a challenging subject for kids, but it’s also an essential skill that will help them succeed in their future endeavors. One important aspect of math is understanding angles. Angles are used in many real-life situations, such as measuring the height of a building... |
### Edexcel GCSE Maths
Numbers
Algebra
Geometry and Measures
Probability
Statistics
# Algebraic Equivalence and Proof
## Algebraic Equivalence
Algebraic equivalence is the idea that two algebraic expressions or equations represent the same mathematical relationship or have the same solution set.
We can transform e... |
# Question 46dc6
Dec 4, 2017
Solutions:
$x = - 1 , y = 3$
$x = - \frac{1}{3} , y = 3 \frac{2}{3}$
#### Explanation:
We can find the solution (common points of each equation) algebraically or graphically. To make a graph, simply make a table with 'x', 'y1' (from expression1), 'y2' (from expression2) and then plot th... |
Not all probability questions on the GRE will be about dice, playing cards and marbles. Here are examples of other possible scenarios.
##### Example
A study found that 80% of drivers, who ride with a passenger, wear seatbelts. Passengers wear seatbelts 70% of the time when the driver wears a seatbelt, and 55% of the ... |
4th Grade - Apply Strategies To Complex Problems
Grade Level: 4th Skill: Reasoning Topic: Apply Strategies to Complex Problems Goal: Apply strategies and results from simpler problems to more complex problems. Skill Description: Use strategies for simple problems in order to solve difficult problems.
Building Blocks... |
# continued fraction
Given a sequence of positive real numbers $(a_{n})_{n\geq 1}$, with $a_{0}$ any real number. Consider the sequence
$\displaystyle c_{1}$ $\displaystyle=a_{0}+\cfrac{1}{a_{1}}$ $\displaystyle c_{2}$ $\displaystyle=a_{0}+\cfrac{1}{a_{1}+\cfrac{1}{a_{2}}}$ $\displaystyle c_{3}$ $\displaystyle=a_{0}... |
# Solution a 2 3 1 2 3 1 8 b 1 4 3 4 3 64 c x 1 1 x 1 1
• Homework Help
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Solution a) 2 - 3 = 1 2 3 = 1 8 , b) 1 4 - 3 = 4 3 = 64, c) x - 1 = 1 x 1 = 1 x , d) x - 2 = 1 x 2 , e) 10 - 1 = 1 10 1 = 1 10 or 0.1. Now do this exercise Write e... |
# Homework 8 Solutions
Save this PDF as:
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## Transcription
1 CSE 21 - Winter 2014 Homework Homework 8 Solutions 1 Of 330 male and 270 female employees at the Flagstaff Mall, 210 of the men and 180 of the women are on flex-time (flexible working hours). Given that an employee selected ... |
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# Area of Irregular Shapes
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## Irregular shapes
Irregular Shapes are Polygons with five or more sides of varying lengths. These Shapes or figures can be decompo... |
Lecture 21 Quiz
[NOTE: This quiz is due at the beginning of lecture Monday, not Friday. At first glance it may look like a lot of work, but in total you just have to (i) answer a simple conceptual question that we have discussed a few times in lecture, (ii) take the derivative of an ordinary function with respect to o... |
# How do you find the Pearsonian coefficient of skewness?
## How do you find the Pearsonian coefficient of skewness?
Pearson’s coefficient of skewness (second method) is calculated by multiplying the difference between the mean and median, multiplied by three. The result is divided by the standard deviation.
What is... |
The Pythagorean to organize was named after well known Greek mathematician Pythagoras.
It is vital formula that claims the following: a2 + b2 = c2
The 2nd figure listed below helps united state to see why the formula works.
Did you make the following crucial observation? The figure listed below may help!
Notice the... |
# PARCC Grade 3 Math Practice Test Questions
0%
#### 1. Steve had to pay a library fee. The amount he paid is shown below. How much did he pay?
Correct! Wrong!
1. C: There are 2 dollar bills, which represent 2 dollars. There are also 2 quarters, 2 nickels, 1 dime, and 4 pennies. Two quarters are worth \$0.50 since ... |
# Angle bisectors triangle meet one point
### Bisectors of Triangles | Wyzant Resources
We have all heard that the three angle bisectors ofthe internal angles of a triangle meet at a point called the incenter. How do we know that these three lines. Consider the bisectors of two of the angles. Note that for any point ... |
# Percentages Objectives: D GradeIncrease or decrease a quantity by a given percentage C GradeWork out a percentage increase or decrease Prior knowledge:
## Presentation on theme: "Percentages Objectives: D GradeIncrease or decrease a quantity by a given percentage C GradeWork out a percentage increase or decrease Pri... |
## Fractions
### Three Meanings
One reason for the difficulty in teaching fractions is that, IMO, they have three meanings.
First, they simply mean divide. So, "84 divided by 4" can be represented as 84/4.
The second meaning is as a number. There are numbers between 1 and 2, and we can represent these numbers are f... |
# Difference Quotient: Definition & Example
## What is a Difference Quotient?
The difference quotient is one way to find a derivative or slope of a function. The formula is:
It might look intimidating, but it’s easier to solve than it looks, because many of the terms cancel out.
It’s called a “difference quotient” ... |
# Brian Austin Green – Future Predictions (11/10/2019)
How will Brian Austin Green fare on 11/10/2019 and the days ahead? Let’s use astrology to conduct a simple analysis. Note this is not at all guaranteed – don’t get too worked up about the result. I will first find the destiny number for Brian Austin Green, and the... |
# How many times does a simple cell divide mitotically to form 32 cells?
Contents
Five mitotic divisions are required to form 32 cells from a single cell.
## How many generations are required to produce 32 cells?
5 successive generations of mitosis must occur to produce 32 cells.
## How many mitotic divisions and ... |
# Cross Multiplication Calculator
Created by Maciej Kowalski, PhD candidate
Reviewed by Steven Wooding
Last updated: Jan 18, 2024
Table of contents:
Welcome to Omni's cross multiplication calculator, where we'll be solving for $x$ with fractions. The expressions we tackle here are often called proportions, and there... |
To use it replace square root sign with letter r. Rationalizing the denominator is the process of moving any root or irrational number cube roots or square roots out of the bottom of the fraction denominator and to top of the fraction numerator. It can rationalize denominators with one or two radicals. Estimating an n ... |
Section10.6Applications Involving Densities
Subsection10.6.1Overview
Having developed the theory of definite integrals and functions defined as the accumulation on increments, we turn our attention to applications of these ideas. One of the most common mathematical applications is the calculation of area of regions b... |
# 5.07 Interpreting proportional relationships
Lesson
We've already learned about proportional relationships, where two quantities vary in such a way that one is a constant multiple of the other. In other words, they always vary by the same constant.
Remember!
Proportional relationships are a special kind of linear... |
# A contour map is shown for a function f on the square r 0 6 0 6
## Introduction
A contour map is a topographical map that shows the relief of an area, and is usually drawn to show a particular landform or feature. In this case, the contour map shows the function f on the square r 0 6 0 6 . The contour lines represe... |
# Fraction calculator
This calculator divides fractions. The first step makes the reciprocal value of the second fraction - exchange numerator and denominator of 2nd fraction. Then multiply both numerators and place the result over the product of both denominators. Then simplify the result to the lowest terms or a mix... |
# chapter 9 name: monday tuesday wednesday thursday ... ... monday tuesday wednesday thursday friday 4
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Unit 10B – Quadratics - Chapter 9 Name:
The calendar and all assignments are subject to change. Students will be notified of a... |
# What is 201/338 as a decimal?
## Solution and how to convert 201 / 338 into a decimal
201 / 338 = 0.595
Fraction conversions explained:
• 201 divided by 338
• Numerator: 201
• Denominator: 338
• Decimal: 0.595
• Percentage: 0.595%
The basis of converting 201/338 to a decimal begins understanding why the fraction... |
# Problem
Given an integer N, find its prime factorization.
For example, $12 = 2 \times 2 \times 3 = 2^2 \times 3$.
It is somewhat difficult to factorize an integer. If $N$ is small enough, then it is possible to factorize it using prime generate by Sieve of Eratosthenes.
# Trial Division Method
Suppose we are try... |
## Whole Numbers and Place Value
### Learning Outcomes
• Identify whole numbers from a list of numbers
• Identify counting numbers from a list of numbers
• Model whole numbers
• Identify the place value of a digit
## Identify Counting Numbers and Whole Numbers
Learning algebra is similar to learning a language. You... |
Welcome to our free-to-use Q&A hub, where students post questions and get help from other students and tutors.
You can ask your own question or look at similar Maths questions.
119x =9
In this equation for evaluating the value of 'x' you just need to divide 9 with 119
x=9/119
x=0.075630
119x=9
X=9/119
0.0756302... |
# How to find Standard Deviation of a Discrete Random Variable (with Examples)
-
The standard deviation of a discrete random variable can be found by taking the square root of its variance.
Variance = E(X2) – E(X)2.
• E(X2) = Expected value of the square of the random variable.
• E(X)2 = Square of the expected valu... |
Unseen Passage
For Class 4 to Class 12
Arithmetic Progression MCQ Class 10 Mathematics
Please refer to Chapter 5 Arithmetic Progression MCQ Class 10 Mathematics with answers below. These multiple-choice questions have been prepared based on the latest NCERT book for Class 10 Mathematics. Students should refer to MCQ... |
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# Let T - V rightarrow V be a linear transformation sulci that T2 -.docx
Let T : V rightarrow V be a linear transformation sulci that T2 = 0 is the zero transformation. Show that itn T ker T If R: V rightarrow V is defined by R(v) = v + T(v) for all v in V. show that R is linear ... |
# Question #a078d
Dec 14, 2017
see explanation
#### Explanation:
A: circumference formula: $c = 2 \pi r = \pi d$
therefore, $\pi = \frac{c}{d}$
so, for circle A, you get: $\frac{21.98}{7} = 3.14$
for circle B, you get: $\frac{18.84}{6} = 3.14$
B: area formula: $a = \pi {r}^{2}$, where $r = \frac{d}{2}$
therefore, ... |
# Exploring The 8 1 Geometric Mean Worksheet
## Introduction
As we progress towards a more advanced level of mathematics, we are introduced to a wide range of concepts that can be challenging to comprehend. One such concept is the geometric mean, which is an essential component of many mathematical calculations. In t... |
#### Find the vector equation of the line parallel to the vector $3\hat{i}-2 \hat{j}+3\hat{k}$ and which passes through the point (1, -2, 3).
Given, vector = $3\hat{i}-2\hat{j}+6\hat{k}$
Point = (1, -2, 3)
We can write this point in vector form as $\hat{i}-2\hat{j}+3\hat{k}$
Let ,
$\overrightarrow{a}=\hat{i}-2\ha... |
# Relationship between H.C.F. and L.C.M.
We will learn the relationship between H.C.F. and L.C.M. of two numbers.
First we need to find the highest common factor (H.C.F.) of 15 and 18 which is 3.
Then we need to find the lowest common multiple (L.C.M.) of 15 and 18 which is 90.
H.C.F. × L.C.M. = 3 × 90 = 270
Also ... |
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Difference between Distance and Displacement - Practice problems, FAQs
Karthick goes to an amusement park and finds a Jolly Rancher ride which can go along two different paths as shown in the figure. One along the zig-zag path, and the other along the straight line AB. He finds that the ra... |
combinatorics_day_3.pdf - 21-301 Combinatorics Spring 2019 Lecture 3 Trees Lecturer John Mackey 1 Date Review Hamiltonian Circuit A simple closed path
# combinatorics_day_3.pdf - 21-301 Combinatorics Spring 2019...
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21-301: Combinatorics Spring 2019 Lecture 3: Trees Lectu... |
## Preschool Math Worksheets
Since there is no set preschool curriculum, at least in the eyes of the Core Curriculum Initiative, we improvised a little. We worked with several past national and every state draft of preschool curriculum that we could get my hands on. All the work here is aligned to the Core as precurso... |
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What are the greatest common factors of 64 and 28?
Updated: 11/4/2022
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The greatest common factor is 4
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# Weight of 12 mangoes is 2.4kg .What is the weight of 8 mangoes?
Last updated date: 13th Jun 2024
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Hint: For this type of question first we should find the weight of one item given. He... |
# Stuck on this question! Can someone please help? 2 + 7x + 3 − 5x − 1 = "______"? Thanks!
May 4, 2018
$4 + 2 x$ is the final expression. Here's why:
#### Explanation:
2 + 7x + 3 - 5x -1 = ?
Start by combining like terms in the order that they appear. Let's break them into variables and integers.
Integers first:
... |
# Method of L.C.M.
We will discuss here about the method of l.c.m. (least common multiple).
1. Let us consider the numbers 8, 12 and 16.
Multiples of 8 are → 8, 16, 24, 32, 40, 48, 56, 64, 72, 80, 88, 96, ......
Multiples of 12 are → 12, 24, 36, 48, 60, 72, 84, 96, 108, 120, 132, ......
Multiples of 16 are → 16, 3... |
# 8.5: Equal Costs
Difficulty Level: At Grade Created by: CK-12
Carla and Dan went to the store. Carla bought 3 notebooks and a $2 pen. Dan bought 2 notebooks and an$8 stapler. All notebooks cost the same. They spent the same amount of money. Can you figure out the cost of one notebook? In this concept, we will learn... |
Prime Factorization Worksheets - Page 10 | Problems & Solutions
# Prime Factorization Worksheets - Page 10
Prime Factorization Worksheets
• Page 10
91.
Is 2 a prime or a composite number?
a. Prime b. Composite
#### Solution:
A number that has exactly two factors, 1 and itself is called a prime number.
A number ... |
Math Insight
Distance from point to plane example
To illustrate our approach for finding the distance between a point and a plane, we work through an example.
Find the distance from the point $P=(4,-4,3)$ to the plane $2x-2y+5z+8=0$, which is pictured in the below figure in its original view.
Distance from point to... |
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## OG 2020: Question No. 335
In the figure above, PQRT is a rectangle. What is the length of segment PQ?
1. The area of region PQRS is 39 and TS = 6.
2. The area ... |
# Calculus 1 : Curves
## Example Questions
### Example Question #51 : Graphing Functions
Find the local minima of the following function:
Explanation:
To find the local minima of the function, we must find the x value at which the function's first derivative changes from negative to positive.
First, we must find ... |
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DNA STUDY
The concept of marker mutations confuses many at first glance. But it is actually quite simple, so we will attempt to explain the logic using the technique of 'expected values' - which is the long-run value taken over many independent repetitions.
Consider a lottery draw that has number... |
# Geometry: Ratio, Proportion, and Geometric Means
## Ratio, Proportion, and Geometric Means
Before you start analyzing similar triangles, you need to pick up a few more algebraic supplies. You'll be dealing with fractions and ratios a lot in this section, so you might as well brush up on those algebra skills first.
... |
Propagation of Errors
# Propagation of Errors - Chapter 01.06 Propagation of Errors...
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# ∆Abc is an Equilateral Triangle. Point P is on Base Bc Such that Pc = 1 3 Bc, If Ab = 6 Cm Find Ap. - Geometry
ConceptSimilarity in Right Angled Triangles
#### Question
∆ABC is an equilateral triangle. Point P is on base BC such that PC = $\frac{1}{3}$ BC, if AB = 6 cm find AP.
#### Solution
∆ABC is an eq... |
# How do you evaluate e^( ( pi)/4 i) - e^( ( 7 pi)/4 i) using trigonometric functions?
Mar 27, 2016
${e}^{\frac{\pi}{4} i} - {e}^{\frac{7 \pi}{4} i} = \sqrt{2} i$
#### Explanation:
As ${e}^{i \theta} = \cos \theta + i \sin \theta$, we have
${e}^{\frac{\pi}{4} i} = \cos \left(\frac{\pi}{4}\right) + i \sin \left(\f... |
# How do you integrate int (x^3 +x^2+2x+1) / [(x^2+1) (x^2+2)] using partial fractions?
Feb 22, 2016
$\frac{1}{2} \ln \left({x}^{2} + 1\right) + \frac{1}{\sqrt{2}} \arctan \left(\frac{x}{\sqrt{2}}\right) + C$
$\frac{1}{2} \ln \left({x}^{2} + 1\right) + \sqrt{2} \arctan \left(\frac{x}{\sqrt{2}}\right) + C$
#### Expl... |
# Prof. Johnnie Baker Module Basic Structures: Sets
## Presentation on theme: "Prof. Johnnie Baker Module Basic Structures: Sets"— Presentation transcript:
Prof. Johnnie Baker jbaker@cs.kent.edu Module Basic Structures: Sets
Discrete Math CS 23022 Prof. Johnnie Baker Module Basic Structures: Sets
Acknowledgement Mos... |
# 3.8 Inverses and radical functions
Page 1 / 7
In this section, you will:
• Find the inverse of a polynomial function.
• Restrict the domain to find the inverse of a polynomial function.
A mound of gravel is in the shape of a cone with the height equal to twice the radius.
The volume is found using a formula from ... |
Mathematics for Technology I (Math 1131)
Durham College, Mathematics
Free
• 55 lessons
• 1 quizzes
• 10 week duration
• Numerical Computation
Here you'll be introduced to the bare basics of mathematics. Topics include commonly used words and phrases, symbols, and how to follow the order of operations.
• Measurements... |
# 6.8: Radius or Diameter of a Circle Given Area
$$\newcommand{\vecs}[1]{\overset { \scriptstyle \rightharpoonup} {\mathbf{#1}} }$$
$$\newcommand{\vecd}[1]{\overset{-\!-\!\rightharpoonup}{\vphantom{a}\smash {#1}}}$$
$$\newcommand{\id}{\mathrm{id}}$$ $$\newcommand{\Span}{\mathrm{span}}$$
( \newcommand{\kernel}{\math... |
The 4 sided pyramid actually has two definitions--whether or not you count the base as a "side."
By geometric definition, a 4-sided pyramid has a triangular base with three sides, and when the sides and base are all equilateral triangles, it is called a tetrahedron.
The square-base pyramid, like the Pyramid of Giza, ... |
# How do you solve (5x)/2 - x = x/14 + 9/7?
Mar 25, 2018
$x = \frac{9}{10}$
#### Explanation:
$\frac{5 x}{2} - x = \frac{x}{14} + \frac{9}{7}$
Let's get a common denominator for the left side of the equation
$\frac{5 x}{2} - x \times \frac{2}{2} = \frac{x}{14} + \frac{9}{7}$
$\frac{5 x - 2 x}{2} = \frac{x}{14} +... |
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# If $$\log 3\log \left( {{3^x} - 2} \right)\,$$ and $$\log \left( {{3^x} + 4} \right)$$ are in arithmetic progression, then x is equal to
A. $$\frac{8}{3}$$
B. $$\log {3^8}$$
C. $$\log {2^3}$$
D. 8
\eqalign{ & \log \left( {{3^x} - 2} \right) - \log 3 \cr & = \log \left( {{3^x} + 4} \right) - \log \l... |
# Lesson1
```Elements of Distribution Theory
Random
The sample space.
Events.
Definition of probability
Axioms of probability theory
Conditional probability
Independence
Bayesian theory
Random Variable
Discrete Random Variable
Revision and Test 1
Continuous random Variable
Probability Mass Function
Probability Density... |
Review question
# Can we sketch the graph of $y^2 = x^3$? Add to your resource collection Remove from your resource collection Add notes to this resource View your notes for this resource
Ref: R6372
## Solution
Sketch the graph of $y^2 = x^3$.
Since $y^2 \ge 0$, the graph only exists for $x^3 \ge 0$, that is, when... |
# How to Calculate 1/16 Minus 10/31
Are you looking to work out and calculate how to subtract 1/16 from 10/31? In this really simple guide, we'll teach you exactly what 1/16 - 10/31 is and walk you through the step-by-process of how to subtract one fraction from another.
Want to quickly learn or show students how to ... |
# Normal Approximation to Binomial Distribution
-
The normal approximation means that you can use the normal distribution as an approximation to calculate the probabilities for binomial distribution. Note that this can be done under the following conditions:
1. The number of trials ‘n’ is large. (Generally values of... |
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# Section 6.
## 6.3 Applications of Exponential Functions
In the previous review, we examined exponential growth. Any process in which a
quantity grows by a fixed percentage each year (or each day, hour, etc.) can be modeled
by an exponential function. Compound interest is a good example of su... |
# Samacheer Kalvi 6th Maths Solutions Term 2 Chapter 2 Measurements Intext Questions
You can Download Samacheer Kalvi 6th Maths Book Solutions Guide Pdf, Tamilnadu State Board help you to revise the complete Syllabus and score more marks in your examinations.
## Tamilnadu Samacheer Kalvi 6th Maths Solutions Term 2 Ch... |
# Step by step equation solver
This Step by step equation solver supplies step-by-step instructions for solving all math troubles. So let's get started!
## The Best Step by step equation solver
In addition, Step by step equation solver can also help you to check your homework. First, we briefly introduce two tool li... |
Question
# When taking a test with m closed answers, a student knows the correct answer with probability p, otherwise he chooses one of the possible answers at random. What is the probability that the student knows the correct answer given that he answered the question correctly.
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# How do you solve sqrt(50)+sqrt(2) ?
Sep 9, 2015
You can simplify $\sqrt{50} + \sqrt{2} = 6 \sqrt{2}$
#### Explanation:
If $a , b \ge 0$ then $\sqrt{a b} = \sqrt{a} \sqrt{b}$ and $\sqrt{{a}^{2}} = a$
So:
$\sqrt{50} + \sqrt{2} = \sqrt{{5}^{2} \cdot 2} + \sqrt{2} = \sqrt{{5}^{2}} \sqrt{2} + \sqrt{2}$
$= 5 \sqrt{2... |
# Factors of 955: Prime Factorization, Methods, and Examples
The factors of 955 are the numbers that, when divided by 955, leave nothing as a remainder. There are four factors of 955 in total.
 It is a composite number as it is divisible by more than two numbers. Â
### Factors of 955
Here are the factors of numbe... |
# How to Multiply a Matrix by a Scalar?
When multiplying a matrix by a scalar, the resulting matrix will always have the same dimensions as the original matrix. In this step-by-step guide, you learn more about how to multiply a matrix by a scalar.
The scalar multiplication refers to the product of a real number and a... |
# Probability THEORETICAL Theoretical probability can be found without doing and experiment. EXPERIMENTAL Experimental probability is found by repeating.
## Presentation on theme: "Probability THEORETICAL Theoretical probability can be found without doing and experiment. EXPERIMENTAL Experimental probability is found ... |
# Central Limit Theorem - Explained
What is the Central Limit Theorem?
# What is the Central Limit Theorem?
The central limit theorem states that with the assumption that all samples are equal in size, the example six gets larger, the distribution of same means approximates that of a normal distribution. In other te... |
# Complex Numbers and Roots
## Presentation on theme: "Complex Numbers and Roots"— Presentation transcript:
Complex Numbers and Roots
5-5 Complex Numbers and Roots Warm Up Lesson Presentation Lesson Quiz Holt McDougal Algebra 2 Holt Algebra 2
Simplify each expression.
Warm Up Simplify each expression. 2. 1. 3. Find ... |
## Practice problem2
In this page practice problem2 we will see how to solve subtraction problems on complex numbers.
Solution:
1. (2+3i)-(9-11i)
While subtracting two complex numbers we have to subtract the real parts together and imaginary parts together. We have to subtract the real and imaginary parts like ordi... |
# Opposite number
number that, when added to the original number, yields zero
In mathematics, the opposite or additive inverse of a number ${\displaystyle k}$ is a number ${\displaystyle n}$ which, when added to ${\displaystyle k}$, results in 0. The opposite of ${\displaystyle a}$ is ${\displaystyle -a}$.[1][2] For ... |
## Intermediate Algebra: Connecting Concepts through Application
Shania forgot to multiply by the reciprocal fraction when dividing. Once this step is done, she can start cancelling out the factors to find the answer. $= \frac{(h+5)(h+4)^{2}}{(h+7)(h+2)^{2}}$
Shania forgot to multiply by the reciprocal fraction when d... |
$$\newcommand{\id}{\mathrm{id}}$$ $$\newcommand{\Span}{\mathrm{span}}$$ $$\newcommand{\kernel}{\mathrm{null}\,}$$ $$\newcommand{\range}{\mathrm{range}\,}$$ $$\newcommand{\RealPart}{\mathrm{Re}}$$ $$\newcommand{\ImaginaryPart}{\mathrm{Im}}$$ $$\newcommand{\Argument}{\mathrm{Arg}}$$ $$\newcommand{\norm}[1]{\| #1 \|}$$ $$... |
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# Mathematics | Introduction and types of Relations
• Difficulty Level : Easy
• Last Updated : 01 Dec, 2022
Relation or Binary relation R from set A to B is a subset of AxB which can be defined as aRb ↔ (a,b) € R ↔ R(a,b). A Binary relation R on a single set A is defined as a subset of AxA. For t... |
# Understanding the Difference Between Fractions and Decimals
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Fractions and decimals are two useful types of rational numbers that can be used to represent precise values in a variety of math problems. Understanding the difference between them is essential for developing a stro... |
# GRAPHING GREATEST INTEGER FUNCTION
## About "Graphing greatest integer function"
"Graphing greatest integer function" is the stuff which is needed to the children who study high school math.
The Greatest-Integer Function is denoted by y = [x]
For all real values of "x" , the greatest-integer function returns the ... |
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# Proof and Mathematical Induction
The proof is a very important element of mathematics. As mathematicians, we cannot believe a fact unless it has been fully proved by other facts we know.
There are a few key types of proofs we will look at briefly. These are:
• P... |
# What is the general solution of the differential equation (y^2+1)dy/dx+2xy^2=2x ?
Sep 19, 2017
$\ln | \frac{y + 1}{y - 1} | - y = {x}^{2} + C$
#### Explanation:
We have:
$\left({y}^{2} + 1\right) \frac{\mathrm{dy}}{\mathrm{dx}} + 2 x {y}^{2} = 2 x$ ..... [A]
We can rearrange this non-linear First Order differe... |
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# Intercepts of a Line
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## What is the Intercept of a Line?
The x-intercept and the y-intercept are the two different types of intercepts. The line's actual point of intersection with the x-axis is known as the x... |
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# Prove that the center of a circle touching two intersecting lines lies on the angle bisector of the lines.
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Hint: We draw a circle which is touching t... |
## Comparing Numbers
In comparing numbers, all you need to understand is the decimal number system itself and how it’s been constructed. When you understand that system, everything made in it including numbers, can be dealt with. We talked extensively about the decimal number system previously, so now, let’s get to so... |
# Multiplication Arrays
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My friend, Kim, at Life Over C’s has an awesome 21 day series going on her blog called “Learn with Your Craft Stash“. The series focuses on learning activities you can do with craft items yo... |
# The ratio of S.P of three articles is 40 : 37 : 46 and the ratio of profit% is 5 : 4 : 7. The cost price of first and second articles are same and the cost price of third article is 480. Find the total cost price of all the three articles?
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