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Statistics Chapter 2 Exploring Distributions - PowerPoint PPT Presentation
Section 2.5 The Normal Distribution. Statistics Chapter 2 Exploring Distributions. Central Intervals for Normal Dist. 68% of values lie within 1 SD of the mean. Including to the right and left 90% of the values lie with 1.645 SDs of the... | HuggingFaceTB/finemath | |
Home > Standard Error > Find The Mean And Standard Error Of The Distribution
# Find The Mean And Standard Error Of The Distribution
## Contents
Figure 1. Example. Five assessments chosen from a total of six assignments would be much more accurate than five assessments chosen from fifty. Wouldn't you like a way of pr... | open-web-math/open-web-math | |
# College Math Teaching
## February 14, 2019
### Elementary Algebra Exercises
Filed under: elementary mathematics, popular mathematics — collegemathteaching @ 8:06 pm
I saw this meme floating around: So:
1. Assuming that $a, b$ are real numbers, find all $a, b$ for which each relation is true, OR show why it is im... | HuggingFaceTB/finemath | |
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# Selina solutions for Class 10 Mathematics chapter 19 - Constructions (Circles)
## Chapter 19: Constructions (Circles)
#### Chapter 19: Constructions (Circles) solutions [Page 0]
Draw a circle of radius 3 cm. Mark a point P at a distance of 5 cm from the centre of the circle drawn. Draw two ... | HuggingFaceTB/finemath | |
# [Maths Class Notes] on Continuity Pdf for Exam
We all have heard the word “ continuity” while talking to someone or while reading something. But what if someone asks us the question, what is continuity in maths? The word Continuity comes from “continuous”. It means something that is endless or unbroken or uninterrup... | HuggingFaceTB/finemath | |
# Converting watts to amps
Hello, I am trying to go over the math to see how long I can run appliances with my 2000w pure-sine wave inverter and a deep-cycle 12v battery.
Is this correct the way I am going about it?
Let us say I want to run my TV and Xbox which combined use around 250w for 5 hours from an inverter. ... | HuggingFaceTB/finemath | |
Test: Electrical & Electronic Measurements- 4
# Test: Electrical & Electronic Measurements- 4 - Electrical Engineering (EE)
Test Description
## 10 Questions MCQ Test - Test: Electrical & Electronic Measurements- 4
Test: Electrical & Electronic Measurements- 4 for Electrical Engineering (EE) 2023 is part of Electric... | HuggingFaceTB/finemath | |
## 55425
55,425 (fifty-five thousand four hundred twenty-five) is an odd five-digits composite number following 55424 and preceding 55426. In scientific notation, it is written as 5.5425 × 104. The sum of its digits is 21. It has a total of 4 prime factors and 12 positive divisors. There are 29,520 positive integers (... | HuggingFaceTB/finemath | |
# Homework Help: Triple integral/volume of a region enclosed by two planes an elliptic hyperboloid
1. Apr 26, 2012
### sydneyw
For positive a and h, let A designate the region of R3 enclosed by the elliptic hyperboloid, x2 +y2 -z2 =a2 and the two planes, z= -h/2 and z=h/2.
Determine the volume of A
So I figure thi... | HuggingFaceTB/finemath | |
# Is 30 The Magic Number Issues In Sample Size Estimation?
## Is 30 statistically significant?
The choice of n = 30 for a boundary between small and large samples is a rule of thumb, only.
There is a large number of books that quote (around) this value, for example, Hogg and Tanis’ Probability and Statistical Infere... | HuggingFaceTB/finemath | |
# When is the extension $\Bbb{Q}(\sqrt{\sqrt{5} +a})/\Bbb{Q}$ Normal?
For what values of $a \in \Bbb{Q}$ is the extension $\Bbb{Q}(\sqrt{\sqrt{5} +a})/\Bbb{Q}$ Normal? I know that a finite extension $L/K$ such as this is normal iff it is the splitting field of some $f \in K[x]$.
My Attempt:
I think that this is the e... | HuggingFaceTB/finemath | |
# Sectional curvature of 2-manifold
This is problem7, chapter 5 of Do Carmo's Riemannian geometry.
Let $M$ be a Riemannian two manifold, $p\in M$ , $exp_p$ is a diffeomorphism on a neighbourhood of origin $V\in T_pM$. Let $S_r(0)\subset V$ be a circle of radius $r$ centered at the origin, and let $L_r$ be the length ... | HuggingFaceTB/finemath | |
# The Reproductive Property of Distributions
In statistics, the reproductive property is the result that if two or more independent random variables having a certain distribution are added, the resulting random variable has distribution of the same type as that of the summands. This is an important property to be awar... | HuggingFaceTB/finemath | |
# Tag Info
## Hot answers tagged dag
8
We can solve this problem just by doing DFS from each vertex. For each vertex $u \in G$, start the DFS from each vertex $v$ such that $v$ is the direct descendant of $u$, ie. $(u,v)$ is an edge. For each vertex $v'$ reachable by the DFS from $v$, remove the edge $(u, v')$. The ... | open-web-math/open-web-math | |
# A uniform wire of resistance $100\: ohms$ is cut into 10 equal parts and are connected in parallel to each other. The equivalent resistance of the combination is
$\begin {array} {1 1} (A)\;1\Omega & \quad (B)\;10\Omega \\ (C)\;100\Omega & \quad (D)\;1000\Omega \end {array}$
Resistance of each piece is $10\: ohms. \... | HuggingFaceTB/finemath | |
# Partial fractions for a cubic root in the denominator of integrand
## Homework Statement
$\int\frac{1}{x\sqrt[3]{x+1}}$dx (That's a cubic root in the denominator, by the way. Not an x cubed.)
## The Attempt at a Solution
I thought possibly partial fractions, but I've never seen it done with a root in the denomina... | HuggingFaceTB/finemath | |
mersenneforum.org Counting Cubes
Register FAQ Search Today's Posts Mark Forums Read
2005-08-07, 08:47 #1 Numbers Jun 2005 Near Beetlegeuse 6048 Posts Counting Cubes Not one of mine, this original problem by Susan Denham originally appeared in New Scientist. I took a large wooden cube and painted two of its faces... | HuggingFaceTB/finemath | |
# Problem: A quantity of CO gas occupies a volume of 0.51 L at 1.5 atm and 312 K . The pressure of the gas is lowered and its temperature is raised until its volume is 3.1 L .Find the density of the CO under the new conditions.
###### FREE Expert Solution
We will calculate the density using the ideal gas law equation... | HuggingFaceTB/finemath | |
# Use math to solve problems in Unity with C#
## 14. Constrained Delaunay Triangulation
A Constrained Delaunay triangulation is a triangulation where we know that some edges exist in the triangulation. This can be useful if you for example want to make a hole in the mesh or make a navigation mesh for your game. We ha... | HuggingFaceTB/finemath | |
# nLab order polynomial
Contents
### Context
#### Combinatorics
combinatorics
enumerative combinatorics
graph theory
rewriting
Basic structures
Generating functions
Proof techniques
Combinatorial identities
Polytopes
category: combinatorics
# Contents
## Idea
The order polynomial $\Omega_P(n)$ of a fini... | HuggingFaceTB/finemath | |
# CSCI 255 Lab 4 -- Building Logic Gates from Transistors
Background material for this lab was taken from a laboratory exercise developed by W. J. Dally for “CS 99S: The Coming Revolution in Computer Architecture: What To Do With One Billion Transistors,” a course offered at Stanford University in 2001.
## Preparatio... | HuggingFaceTB/finemath | |
This article provides a full proof formula to calculate break even point.
BEP can be calculated in a number of ways, depending on the nature of the information available.
Let us use the following symbols in our calculation:
P: Selling price per unit
q: sales volume
f: fixed cost me
v: per unit variable cost.
Now... | HuggingFaceTB/finemath | |
## Cardinality
This page discusses cardinality, a basic topic found in classes like Sets, Relations and Functions and also Real Analysis. Definitions with discussion follow.
numerically equivalent
two sets are numerically equivalent if there exists a one-to-one function from one set onto the other. We can also say tw... | HuggingFaceTB/finemath | |
# Worksheet: Percentage
Q1:
Fill in the blanks: .
Q2:
In a charity event, the organizers are expecting 25 out of the 80 invited guests to show up. If 15 guests have arrived, what percent of the expected guests have not yet arrived?
Q3:
Fill in the blank: .
Q4:
What fraction of the shape is shaded?
• A
• B
• C
... | HuggingFaceTB/finemath | |
Right triangle calculator (a,b)
Please enter two properties of the right triangle
Use symbols: a, b, c, A, B, h, T, p, r, R
You have entered cathetus a and cathetus b.
Right isosceles triangle.
Sides: a = 90 b = 90 c = 127.2799220614
Area: T = 4050
Perimeter: p = 307.2799220614
Semiperimeter: s = 153.64396103... | HuggingFaceTB/finemath | |
Open In App
# Dining Philosophers problem
Overview :
Dining Philosophers Problem States that there are 5 Philosophers who are engaged in two activities Thinking and Eating. Meals are taken communally in a table with five plates and five forks in a cyclic manner as shown in the figure.
Constraints and Condition for t... | HuggingFaceTB/finemath | |
Probability Aptitude Questions People go through many entrance examinations in these days. In every examination, they will think to score high marks. In order to score high marks, they should know about the syllabus and the subjects involved in the syllabus. For every examination, they will get the mathematical aptitud... | HuggingFaceTB/finemath | |
Wednesday, October 12, 2011
Alex Alfaro's proportion post
• ratio: Above we state that 1/3 and 2/6 are equivalent fractions since they have the same decimal expansion. Thus, 1/3 and 2/6 are equivalent ratios since they represent the same amount.
• rate: The rate at which your parents' car travels may be 55 miles per ... | HuggingFaceTB/finemath | |
You must be able to execute the following using exactly the information below. No further information will be given.
I need a simple Excel spreadsheet program that will give me the output for the following:
If price = 1000 and I buy 1 for every point higher the market moves and sell for every 1 point lower the market... | HuggingFaceTB/finemath | |
# GRE Math : How to subtract integers
## Example Questions
### Example Question #1 : How To Subtract Integers
Which store had the greatest increase in thousands of book sales between 2000 and 2010?
Store B
Store C
Stores A and B tie
Stores B and C tie
Store A
Stores A and B tie
Explanation:
Calculate the dif... | HuggingFaceTB/finemath | |
Math and Arithmetic
Geometry
Area
# One cent equal to how many square feet?
345
Top Answer
###### 2012-07-27 15:29:53
If you are asking how many square feet is in a centimeter, it cannot be converted. A centimeter is a measure of length and square feet is a measure of area.
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0
๐
0
๐คจ
0
๐ฎ
0
## Related ... | HuggingFaceTB/finemath | |
To subtract complex numbers, subtract their real parts and subtract their imaginary parts. A complex number is an algebraic extension that is represented in the form a + bi, where a, b is the real number and ‘i’ is imaginary part. In fact, Ferdinand Georg Frobenius later proved in 1877 that for a division algebra over ... | open-web-math/open-web-math | |
# The S.I. on a certain sum of money for 4 years at 4 percent per annum exceeds the C.I. on the same sum for 3 years at 5 percent per annum by Rs. 57. Find the approximate sum.
This question was previously asked in
DSSSB Junior Stenographer (English) Previous Paper (Held On : 19 April 2021 Shift 1)
View all DSSSB Juni... | HuggingFaceTB/finemath | |
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Select a Forum » General Chat » Primary 1 Matters » Primary 2 Matters » Primary 3 Matters » Primary 4 Matters » Primary 5 Matters » Primary 6 Matters » Question, Feedback and Comments » Education Classified
Forum Index > Test Paper Related > Primary... | HuggingFaceTB/finemath | |
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GMAT Club Daily Prep
Thank you for using the timer - this advanced tool can estimate your performance and suggest more practice questions. We have subscribed you to Daily Prep Questions via email.
Customized... | HuggingFaceTB/finemath | |
## About "Example for Skew Symmetric Matrix"
Example for Skew Symmetric Matrix :
Here we are going to see some example problems on skew symmetric matrix.
What is symmetric and skew symmetric matrix ?
For any square matrix A with real number entries, A+ AT is a symmetric matrix and A− AT is a skew-symmetric matrix.
... | HuggingFaceTB/finemath | |
Time Speed and Distance Questions for CAT
Question 36: A boat goes 50 km upstream in 10 hours and a distance of 40 km downstream in 8 hours. The speed of the boat in still water is
0 kmph
10 kmph
7.2 kmph
5 kmph
Option: 4
Explanation:
Speed upstream = 50/10 = 5 kmph.
Speed downstream = 40/8 = 5 kmph.
Since bo... | HuggingFaceTB/finemath | |
The OEIS is supported by the many generous donors to the OEIS Foundation.
Hints (Greetings from The On-Line Encyclopedia of Integer Sequences!)
A134170 a(n) = the smallest positive integer which, expressed in the form d*q + r, satisfies q >= r for every d from 1 to n. In other words, when a(n) is divided by the numb... | HuggingFaceTB/finemath | |
## Exam 1
1. #### Question
For the matrix \begin{aligned} A &= \left( \begin{array}{rrrr} 16 & -12 & -12 & -16 \\ -12 & 25 & 1 & -4 \\ -12 & 1 & 17 & 14 \\ -16 & -4 & 14 & 57 \end{array} \right). \end{aligned} compute the matrix $L = (\ell_{ij})_{1 \leq i,j \leq 4}$ from the Cholesky decomposition $A = L L^\top$.
Wh... | open-web-math/open-web-math | |
# How do you calculate pressure question?
Contents
## How do you calculate pressure question?
Pressure is defined to be the amount of force exerted per area. So to create a large amount of pressure, you can either exert a large force or exert a force over a small area (or do both). In other words, you might be safe ... | HuggingFaceTB/finemath | |
Modeling Multiplication of Fractions
1 / 89
# Modeling Multiplication of Fractions - PowerPoint PPT Presentation
Modeling Multiplication of Fractions. MCC4.NF.4; MCC5.NF.4 ; MCC5.NF.5; MCC5.NF.6. Deanna Cross – Hutto Middle School. Fraction by a Whole Number. Multiplying on a Number Line. Fraction by a WHOLE number
... | HuggingFaceTB/finemath | |
559785
559,785 (five hundred fifty-nine thousand seven hundred eighty-five) is an odd six-digits composite number following 559784 and preceding 559786. In scientific notation, it is written as 5.59785 × 105. The sum of its digits is 39. It has a total of 4 prime factors and 16 positive divisors. There are 293,568 pos... | HuggingFaceTB/finemath | |
# Fibonacci Retracements: Understand and Apply
Here we go… absorb this like a sponge. If you are not somewhat familiar with Fibonacci, this could quite honestly change the way you look at charts forever.
There are numerous Fibonacci tools available to traders. I’ve experimented with arcs, fans, spirals and several ot... | HuggingFaceTB/finemath | |
# Subtraction Sums For Class 1
### Examples of subtraction of single digit number.
Subtraction sums for class 1. Addition and subtraction (several) subtracting 2 & 3 digit numbers. 6 um and chandrabindu ki matra; In the image shown above the sum of 7 ones and 6 ones is 13.
1.46 / complete the equation with sums up t... | HuggingFaceTB/finemath | |
## Algebra and Trigonometry 10th Edition
0 = $\frac{-3}{2}$x + $\frac{1}{2}$y + 1
The intercept form of an equation is: $\frac{x}{a}$ + $\frac{y}{b}$ = 1 where a is (a,0), the x-intercept, and b is (0,b), the y-intercept. In this problem the x-intercept is ($\frac{2}{3}$,0), so a = $\frac{2}{3}$ In this problem the y-... | HuggingFaceTB/finemath | |
# Water Bottle in Free Fall
By
The concept of weight and weightlessness is often not easy. We define weight $$W$$ of a body as the gravitational force that the earth exerts on the body. However, it is measured by measuring the effect of some kind of contact force. When we stand on a weighing machine, our legs press t... | HuggingFaceTB/finemath | |
# Math
1.(A)(i)Show that 2+4+6+8+..+2n=n(n+1).
(ii)Find the sum of the first 200 even numbers.
(iii)Find the sum of the first 200 odd numbers.
(B)(i)Use the formula at the beginning of the question to find the sum of the first 2n natural numbers.
(ii)Find a formula, in its simplest form, for 1+3+5+7+9+...+(2n-1)
1. u... | HuggingFaceTB/finemath | |
# Calculating the Mordell-Weil rank of elliptic threefolds and the cohomology of singular hypersurfaces
```@article{Hulek2008CalculatingTM,
title={Calculating the Mordell-Weil rank of elliptic threefolds and the cohomology of singular hypersurfaces},
author={Klaus Hulek and Remke Kloosterman},
journal={arXiv: Algebrai... | open-web-math/open-web-math | |
# IB DP Physics Unit 1.2 Uncertainties and errors SL Paper 1
### Question
Two sets of data, shown below with circles and squares, are obtained in two experiments.
The size of the error bars is the same for all points.
      Â
What is correct about the absolute uncertainty and the fractional uncertainty... | HuggingFaceTB/finemath | |
# Finding a subset of S that is a basis for W.
• Oct 26th 2010, 05:24 PM
tn11631
Finding a subset of S that is a basis for W.
Let W be the subspace of M_2x2 (R) consisting of the symmetric 2x2 matrices. The set
S= { $[
\begin{pmatrix}
0 & -1 \\
-1 & 1 \\
\end{pmatrix} \]$
, $[
\begin{pmatrix}
1 & 2 \\
2 & 3 \\
\end{p... | HuggingFaceTB/finemath | |
Q:
# How do you extract square roots?
A:
A method of solving quadratic equations is to extract the roots. This means that the possible values of x are determined by finding the square root of both sides of the equation.
## Keep Learning
Credit: Jupiterimages Stockbyte Getty Images
1. Rearrange the given equation
... | HuggingFaceTB/finemath | |
## Elementary Geometry for College Students (6th Edition)
Using proof by contradiction Suppose $a^{2}+b^{2}= c^{2}$ Then by The pythagorean theorem the triangle is a right triangle this contradicts the given that triangle ABC is not a right triangle. Therefore $a^{2}+ b^{2} \ne c^{2}$.
We know from given theorems that... | HuggingFaceTB/finemath | |
# GOAL SEEK
Goal Seek is the second "What-If" analysis tool that we will discuss in this lesson. There are many occasions in today's business world when we know the result of a formula, but we do not know the input value the formula needs to determine the result that we want to see. This is where Goal Seek comes in ... | HuggingFaceTB/finemath | |
> > > Chapter 4.8
# Solutions for Chapter 4.8: THE SURGE FUNCTION AND DRUG CONCENTRATION
## Full solutions for Applied Calculus | 5th Edition
ISBN: 9781118174920
Solutions for Chapter 4.8: THE SURGE FUNCTION AND DRUG CONCENTRATION
Solutions for Chapter 4.8
4 5 0 325 Reviews
11
5
##### ISBN: 9781118174920
Chapter ... | HuggingFaceTB/finemath | |
1.7 Exponents and Order of Operations
1 / 22
# 1.7 Exponents and Order of Operations - PowerPoint PPT Presentation
1.7 Exponents and Order of Operations. Exponential Notation:. Shorthand for writing repeated multiplication of the same number. 1.7 Exponents and Order of Operations. Order of Operations:. The order in ... | HuggingFaceTB/finemath | |
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Bookmark it
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# S21 - CHAPTER 2 First Order Differential Equations...
This preview shows pages 1–3. Sign up to view the full content.
CHAPTER 2 First Order Differential Equations Introduction It follows from the discussion in Section 1.3 that any first order differential equat... | HuggingFaceTB/finemath | |
GMAT Question of the Day - Daily to your Mailbox; hard ones only
It is currently 22 Oct 2019, 09:23
### GMAT Club Daily Prep
#### Thank you for using the timer - this advanced tool can estimate your performance and suggest more practice questions. We have subscribed you to Daily Prep Questions via email.
Customize... | HuggingFaceTB/finemath | |
Count frequency of number in sorted array Problem
Problem: Given a sorted array, We have to count the frequency of number i.e. the count number of occurrences of a number in the given sorted array.
Example**:**
Arr[]={ 5,10,15,15,15,25,30,60,80 } ,p= 15
Output : 3
Explanation: Number 15 occurs 3 times in the sorte... | HuggingFaceTB/finemath | |
Solutions by everydaycalculation.com
## Subtract 10/70 from 3/12
3/12 - 10/70 is 3/28.
#### Steps for subtracting fractions
1. Find the least common denominator or LCM of the two denominators:
LCM of 12 and 70 is 420
2. For the 1st fraction, since 12 × 35 = 420,
3/12 = 3 × 35/12 × 35 = 105/420
3. Likewise, for the ... | HuggingFaceTB/finemath | |
# Resolution versus sensitivity of a multimeter
I am trying to understand the difference between resolution and sensitivity. After searching on the internet and the youtube I found more or less the below definition, but in practice I can't understand it.
If the resolution is smallest portion of the signal that can be... | HuggingFaceTB/finemath | |
1. Suppose the quotient resulting from dividing one polynomial by another is
r^2 -6r + 9 -1/r-3. What two polynomials were divided?
2.Suppose an object moves in a straight line so that after t seconds, it is t3 + t2 + 6t feet from its starting point. Find the distance the object travels between the times t = 2 and t =... | HuggingFaceTB/finemath | |
🎉 Exercism Research is now launched. Help Exercism, help science and have some fun at research.exercism.io 🎉
# davidjoeressen's solution
## to Grains in the Clojure Track
Published at Jan 06 2021 · 0 comments
Instructions
Test suite
Solution
Calculate the number of grains of wheat on a chessboard given that t... | HuggingFaceTB/finemath | |
# Lesson 8: Comparing Relationships with Equations
Let’s develop methods for deciding if a relationship is proportional.
## 8.1: Notice and Wonder: Patterns with Rectangles Do you see a pattern? What predictions can you make about future rectangles in the set if your pattern continues?
## 8.2: More Conversions
The ... | HuggingFaceTB/finemath | |
# Tag Archives: conics
## The shape of dinosaur eggs
Readers of these pages will know that we have a special interest in the geometry of ovals. One of the long-standing problems in this regard is: what is the curve that best describes the shape of a dinosaurian egg? While … Continue reading
## Conic conquests: biogr... | HuggingFaceTB/finemath | |
This article talks about the fuzzy set example. As discussed in the previous article about fuzzy set, many natural phenomenon can easily be modeled using fuzzy set. Some of the examples are discussed here to make the understanding more clear.
Crisp representation has limitation of not being able to incorporate partial... | HuggingFaceTB/finemath | |
# Graph traversal
## Introduction
Traversing a graph to visit every edge and vertex is a common problem [1, P. 161].
It’s usually necessary to keep track of whether a vertex has been visited or not to avoid visiting vertices multiple times. This can be achieved by using a flag [1, P. 161].
In this section, a vertex... | HuggingFaceTB/finemath | |
Let's Connect
>
# Convert Celsius to Fahrenheit
Converting Celsius to Fahrenheit might be difficult if done manually. Finding the solution using the formula is time-consuming. So in this conversion tool, you simply enter the value in Celsius and find its equivalent value in Fahrenheit with a single click. You can al... | HuggingFaceTB/finemath | |
## darkigloo one year ago If f(x)=(x^2)(e^x) then f is decreasing for all x such that A. x<-2 B. -2<x<0 C. x>-2 D. x<0 E. x>0
1. myininaya
Calculus or algebra?
2. darkigloo
calculus
3. myininaya
Ok cool stuff. So do you know how to find the derivative. The derivative is the function that tells if the original fun... | HuggingFaceTB/finemath | |
# Video: Finding an Unknown in a Rational Function given Its Limit at a Point
Given that lim_(𝑥 → −5) 𝑎/(𝑥 − 1) = 6, what is 𝑎?
02:55
### Video Transcript
Given that the limit as 𝑥 approaches negative five of 𝑎 divided by 𝑥 minus one is equal to six, what is 𝑎?
The question gives us the limit and tells us ... | HuggingFaceTB/finemath | |
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# Applications of Differentiation
Extracts from this document...
Introduction
Using differentiation to solve practical problems
A rectangular sheet of card is 20cm l... | HuggingFaceTB/finemath | |
# Search by Topic
#### Resources tagged with Vectors similar to Maths Filler 2:
Filter by: Content type:
Age range:
Challenge level:
### There are 11 results
Broad Topics > Vectors and Matrices > Vectors
### Vector Walk
##### Age 14 to 18 Challenge Level:
Starting with two basic vector steps, which destinations ... | HuggingFaceTB/finemath | |
# Using GCD/GCF to find number of intersections in a grid
The question I was trying to solve was:
A rectangular floor $24×40$ is covered by squares of sides $1$. A chalk line is drawn from one corner to the diagonally opposite corner. How many tiles have a chalk line segment on them?
In the answer to the problem, th... | HuggingFaceTB/finemath | |
Home Ancient Mathematical Marvels: The Sieve of Eratosthenes
# Ancient Mathematical Marvels: The Sieve of Eratosthenes
Many math students are not fully aware of just how deep the history of mathematics is. Middle school and high school students are introduced to a host of theorems, concepts, and rules that are often ... | HuggingFaceTB/finemath | |
# Rational numbers are measure zero
Set of rational numbers $\mathbb{Q}$ is measure $0$.
I approach this question by two sides.
(First) Like here Showing that rationals have Lebesgue measure zero., $$\mu(\mathbb Q) = \mu\left(\bigcup_{n=1}^\infty \{q_n\}\right) = \sum_{n=1}^\infty \mu(\{q_n\}) = \sum_{n=1}^\infty 0 ... | HuggingFaceTB/finemath | |
## Monday, January 22, 2007
### Two Questions on Spherical Mirrors
Multiple Choice Questions on Spherical Mirrors
The following question pertains to the formation of a real image when a real object is kept in front of a concave mirror:
A bright rod of length 12 cm lies along the axis (parallel to the axis) of a conca... | HuggingFaceTB/finemath | |
# Quiz Discussion
A fair price shopkeeper takes 10% profit on his goods. He lost 20% goods during theft. His loss percent is
Course Name: Quantitative Aptitude
• 1]
12
• 2]
15
• 3]
20
• 4]
25
##### Solution
No Solution Present Yet
#### Top 5 Similar Quiz - Based On AI&ML
Quiz Recommendation System API Link... | HuggingFaceTB/finemath | |
## Which items are discounted less than 15%? Select all that apply. A. $199.99 smartphone on sale for$167.99 B. $28,100 car on sal Question Which items are discounted less than 15%? Select all that apply. A.$199.99 smartphone on sale for $167.99 B.$28,100 car on sale for $24,750 C.$58 jeans on sale for $50 D.$1.99 song... | HuggingFaceTB/finemath | |
Give interchanges :
Signs - and x and numbers 3 and 6.
###### Option:
A. 6 - 3 x 2 = 9
B. 3 - 6 x 8 = 10
C. 6 x 3 - 4 = 15
D. 3 x 6 - 4 = 33
Answer: B . 3 - 6 x 8 = 10
Justification:
On interchanging - and x and 3 and 6 in (b),
we get the equation as
6 x 3 - 8 = 10
or 18 - 8 = 10
or 10 = 10, which is true. | HuggingFaceTB/finemath | |
## Calculus (3rd Edition)
$$\frac{1}{4}\sin^{-1}(4x/3)+c$$
We have $$\int \frac{dx}{\sqrt{9-16x^2}}=\int \frac{d(x/3)}{\sqrt{1-(4x/3)^2}}\\ =\frac{1}{4}\int \frac{d(4x/3)}{\sqrt{1-(4x/3)^2}}=\frac{1}{4}\sin^{-1}(4x/3)+c$$ | HuggingFaceTB/finemath | |
### Telescoping Series
Find $S_r = 1^r + 2^r + 3^r + ... + n^r$ where r is any fixed positive integer in terms of $S_1, S_2, ... S_{r-1}$.
### Growing
Which is larger: (a) 1.000001^{1000000} or 2? (b) 100^{300} or 300! (i.e.factorial 300)
### Climbing Powers
$2\wedge 3\wedge 4$ could be $(2^3)^4$ or $2^{(3^4)}$. D... | HuggingFaceTB/finemath | |
# how to find slope of tangent line without equation
There is no function given and a lot of times it's not points that I can easily create an equation with. The problems give me a set of points that I'm supposed to graph and find the slope of the tangent at each point. Determine the slope of the tangent to the curve ... | HuggingFaceTB/finemath | |
# Is 83 a odd prime?
## Is 83 a odd prime?
Answer Expert Verified The odd primes are number which are odd and divide by itself only. 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47, 53, 59, 61, 67, 71, 73, 79, 83, 89, 97.
## What is 82 even or odd?
82 is not an odd number.
## Is 84 even or odd?
84 is an even ... | HuggingFaceTB/finemath | |
# Square and square roots
1. Examples0/4 watched
2. Practice0/11 practiced
1. 0/4
2. 0/11
Now Playing:Square and square roots – Example 1a
Examples
0/4 watched
1. Understanding the negative square roots of the following
1. $\sqrt{225}$ $-\sqrt{225}$ $\sqrt{-225}$
Practice
0/11
Square and square ro... | HuggingFaceTB/finemath | |
#### You may also like ### Number Detective
Follow the clues to find the mystery number. ### Six Is the Sum
What do the digits in the number fifteen add up to? How many other numbers have digits with the same total but no zeros? ### ABC
In the multiplication calculation, some of the digits have been replaced by lett... | HuggingFaceTB/finemath | |
### Home > CALC > Chapter 2 > Lesson 2.1.2 > Problem2-21
2-21.
William wants to find out how many calories he burns while at the gym. The number of calories he burns depends on which exercises he does during his workout. Given the graph at right of the rate he burns calories, answer the questions below.
1. How many ... | HuggingFaceTB/finemath | |
# The fifth graders were given sandwiches for lunch during their field trip. Nathan ate frac{5}{6} of his sandwich, Leroy ate frac{7}{8} of his sandwich, and Sofia ate frac{5}{8} of her sandwich. Who ate the greatest amount of their sandwich?
The fifth graders were given sandwiches for lunch during their field trip. N... | HuggingFaceTB/finemath | |
# Minimize $\sum_{cyc}\sqrt{\frac{a+b+1}{c+ab}}$ if $ab+bc+ca=1.$
Problem. Let $$a,b,c$$ be non-negative real numbers satisfying $$ab+bc+ca=1.$$ Find the minimal value $$P= \sqrt{\frac{a+b+1}{c+ab}}+\sqrt{\frac{c+b+1}{a+cb}}+\sqrt{\frac{a+c+1}{b+ac}}.$$
I saw the problem was posted here.
By $$a=b=1;c=0$$ I got that ... | HuggingFaceTB/finemath | |
# 462315 (number)
462,315 (four hundred sixty-two thousand three hundred fifteen) is an odd six-digits composite number following 462314 and preceding 462316. In scientific notation, it is written as 4.62315 × 105. The sum of its digits is 21. It has a total of 6 prime factors and 48 positive divisors. There are 193,5... | HuggingFaceTB/finemath | |
# Find fluid velocity in pipes
1. Jan 1, 2017
### andz
1. The problem statement, all variables and given/known data
Flow in a pipe splits into two parallel pipes. All three pipes have same length L, and same friction factor f. Diameter of first pipe is D. The two parallel pipes have diameter D and D/2. All three pip... | HuggingFaceTB/finemath | |
# Expense ratio
Expense ratio (expense to sales ratio) is computed to show the relationship between an individual expense or group of expenses and sales. It is computed by dividing a particular expense or group of expenses by net sales. Expense ratio is expressed in percentage.
## Formula:
The numerator may be an i... | HuggingFaceTB/finemath | |
NATA Mock Test - 5 - JEE MCQ
# NATA Mock Test - 5 - JEE MCQ
Test Description
## 50 Questions MCQ Test NATA Sample Papers & Mock Tests 2025 - NATA Mock Test - 5
NATA Mock Test - 5 for JEE 2024 is part of NATA Sample Papers & Mock Tests 2025 preparation. The NATA Mock Test - 5 questions and answers have been prepared... | HuggingFaceTB/finemath | |
Solving Lesson 18 Page 80 SBT Math 10 – Kite>
Topic
A person walks along the beach from the position A to the location REMOVE and observe a ship OLD moored offshore. That person took measurements and got the results: $$AB = 30m,\widehat {CAB} = {60^0},\widehat {CBA} = {50^0}$$ (Figure 23). Calculate distance from loc... | HuggingFaceTB/finemath | |
How is the amount of Karma determined for a response to an answer? Sometimes I see 100 karma for a thank you and sometimes 50 karma for a thank you .
May 18, 2017
See below.
Explanation:
We have an explanation page for how karma works, check it out here!
Karma is calculated by looking at your % contribution. Writi... | HuggingFaceTB/finemath | |
# Thread: solve system of equations using row operations on augmented matrix
1. ## solve system of equations using row operations on augmented matrix
Hey guys I really need some help on solving 2 algebra problems.
The question states: Solve the system of equations using row operations on the augmented matrix.
Probl... | open-web-math/open-web-math | |
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#### Online Quiz (WorksheetABCD)
Questions Per Quiz = 2 4 6 8 10
### Math Word Problems - GED, PSAT, SAT, ACT, GRE Preparation7.11 Ratios Review
A ratio is a way of comparing two quantities. The ratio between a and b ... | HuggingFaceTB/finemath | |
# 14. Echelon form
## 14. Echelon form
In the previous video, we saw how a system of simultaneous linear equations can be encoded as an augmented matrix and how manipulations of the equations corresponded to performing row operations on the augmented matrix. In the example we worked through, we started with: x minus ... | HuggingFaceTB/finemath | |
# Statistics Homework and Assignment Help
The normal distribution is one which appears in a variety of statistical applications. One reason for this is the central limit theorem. This theorem tells us that sums of random variables are approximately normally distributed if the number of observations is large. Normal di... | HuggingFaceTB/finemath | |
$$\require{cancel}$$
# Resistance
What's the physical difference between a 100-watt lightbulb and a 200-watt one? They both plug into a 110-volt outlet, so according to the equation P=IV, the only way to explain the double power of the 200-watt bulb is that it must pull in, or “draw,” twice as much current. By analog... | HuggingFaceTB/finemath | |
# The number of group homomorphisms from $\mathbb{Z_2}\times \mathbb{Z_2}\rightarrow \mathbb{Z}_4$
Find the number of group homomorphisms from $$G_1:=\mathbb{Z_2}\times \mathbb{Z_2}\rightarrow G_2:=\mathbb{Z}_4$$
Let $$a,b$$ be the generators of $$G_1$$.
Then $$0=f(0)=2f(0)$$ so we have $$f(a)\in \{0,2\}$$ and simil... | HuggingFaceTB/finemath | |
## Conversion formula
The conversion factor from feet to yards is 0.33333333333333, which means that 1 foot is equal to 0.33333333333333 yards:
1 ft = 0.33333333333333 yd
To convert 277 feet into yards we have to multiply 277 by the conversion factor in order to get the length amount from feet to yards. We can also ... | HuggingFaceTB/finemath |
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