question
stringlengths
200
50k
answer
stringclasses
1 value
source
stringclasses
2 values
# How can I find the probability of $n$ customers waiting in a queue? I'm trying to find the probability of $n$ customers in a queue of a $M/M/1$ model. I only have the formula for $n$ customers in the system that includes queue and service. The formula is $$P_n=\left(1-\frac{\lambda}{\mu}\right)\left(\frac{\lambda}{...
HuggingFaceTB/finemath
# How do you use the rational roots theorem to find all possible zeros of P(x) = 2x^4 + 10x^3 -3x^2 -8x +4? Aug 20, 2016 We find there are no rational zeros, but it is possible to solve algebraically. #### Explanation: $P \left(x\right) = 2 {x}^{4} + 10 {x}^{3} - 3 {x}^{2} - 8 x + 4$ By the rational roots theorem,...
HuggingFaceTB/finemath
# Impossible proof 1. May 30, 2010 ### coderdave A question at the end of a chapter in a book I'm reading asked me to prove something which I'm thinking is a mistake because it seems to be impossible to prove. 'Prove that if two homogeneous systems of linear equations in two unknowns have the same solutions, then t...
HuggingFaceTB/finemath
## College Algebra 7th Edition shift $f(x)$ 4 units right and 5 units up To obtain $g(x)=(x-2)^2+5$, we take $f(x)=(x+2)^2$ and apply the transformation $g(x)=f(x-4)+5$. That is, we shift $f(x)$ 4 units right and 5 units up.
HuggingFaceTB/finemath
# 3.2: Evaluating the Normal Approximation $$\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}{\mathrm{nul...
HuggingFaceTB/finemath
# Side length of largest equilateral triangle to fit in a rectangle I was trying to print out the largest possible equilateral triangle on a standard sheet of paper (8.5 by 11 inches) and got sidetracked into the following question: what is the maximum possible side length of an equilateral triangle to fit in a rectan...
open-web-math/open-web-math
# Bihar Board Class 10th Maths Solutions Chapter 13 Surface Areas and Volumes Ex 13.5 Bihar Board Class 10th Maths Solutions Chapter 13 Surface Areas and Volumes Ex 13.5 Textbook Questions and Answers. ## BSEB Bihar Board Class 10th Maths Solutions Chapter 13 Surface Areas and Volumes Ex 13.5 Question 1. A copper wi...
HuggingFaceTB/finemath
# What is the remainder when 45 is divided by 15? This question was previously asked in Official Paper 17: Held on 5th Nov 2020 Shift 1 View all UGC NET Papers > 1. 4 2. 5 3. 8 4. 11 Option 1 : 4 ## Detailed Solution Concept used: The remainder can be multiplied in the same way as the actual number when divided by...
HuggingFaceTB/finemath
Search by Topic Resources tagged with Addition & subtraction similar to Coded Hundred Square: Filter by: Content type: Stage: Challenge level: A Square of Numbers Stage: 2 Challenge Level: Can you put the numbers 1 to 8 into the circles so that the four calculations are correct? Worms Stage: 2 Challenge Level: ...
HuggingFaceTB/finemath
# Given primitive F = (x^2-1)/(sqrt x), find the function f? You need to remember that the primitive integral is a differentiable function whose derivative is `f(x)` , such that: `F'(x) = f(x)` Hence, you need to differentiate the function `F(x)` with respect to `x` , using the quotient rule, such that: `F'(x) = ((x...
HuggingFaceTB/finemath
Proof of De Morgan's Law De Morgan's Law states that how mathematical statements and concepts are related through their opposites. In set theory, De Morgan's Laws describe the complement of the union of two sets is always equals to the intersection of their complements. And the complement of the intersection of two se...
HuggingFaceTB/finemath
### Become an OU student Everyday maths 2 Start this free course now. Just create an account and sign in. Enrol and complete the course for a free statement of participation or digital badge if available. # 3.2 Interpreting bar charts If you see a bar chart that is showing you information, it’s useful to know how t...
HuggingFaceTB/finemath
# Angle Angle Side Congruence Conditions for the AAS – Angle Angle Side congruence Two triangles are said to be congruent if two angles and non- included side of the one triangle is equal to the two angles and the non- included side of the other. Experiment to prove Congruence with AAS: Draw a ∆LMN with M = 4, N = ...
HuggingFaceTB/finemath
Why are the hyperbolic functions defined the way they are? I know that $$\sinh(x) := \frac{e^x-e^{-x}}{2}$$ and $$\cosh(x) := \frac{e^x + e^{-x}}{2}$$ by definition. But what exactly is the significance of this and how is it related to trigonometry? I get that $$\sinh(x)$$ is just the difference between the graphs $$\...
HuggingFaceTB/finemath
# math posted by on . I've tried this many times, but I keep getting a really big answer. A rancher wants to fence in an area of 2500000 square feet in a rectangular field and then divide it in half with a fence down the middle parallel to one side. What is the shortest length of fence that the rancher can use? • m...
HuggingFaceTB/finemath
# Solving Linear Equations Related Topics: More Lessons for GRE Math Math Worksheets This lesson is part of a series of lessons for the quantitative reasoning section of the GRE revised General Test. In this lesson, we will learn: • Equivalent Equations • Solving Linear Equations • Isolate the Variables • Examples ...
HuggingFaceTB/finemath
# Part III – Plane rendering In the previous example we saw how to render arbitrary triangles, and we showed an example of how to reduce the equations in right-angled cases. In this post we are going to look into rendering a plane. We will do so without any perspective correction for the z-axis, and as mentioned previ...
HuggingFaceTB/finemath
# Steam produced heat transfer heat exchangers 1. Nov 15, 2014 ### Mitch1 1. The problem statement, all variables and given/known data Dry saturated steam at a temperature of 180oC is to be produced in a fire tube boiler from the cooling of 50 000 kg h–1 of flue gases from a pressurised combustion process. The gase...
HuggingFaceTB/finemath
# Statistics - Probability : explained 1. In a genetics experiment on peas, one sample of offspring contained 450 green peas and 1523 yellow peas. Based on those results, estimate the probability of getting an offspring pea that is green. Is the result reasonably close to the value of ¾ that was expected? The probabil...
HuggingFaceTB/finemath
Vectors - Motion and Forces in Two Dimensions - Lesson 1 - Vectors: Fundamentals and Operations Vector Resolution As mentioned earlier in this lesson, any vector directed at an angle to the horizontal (or the vertical) can be thought of as having two parts (or components). That is, any vector directed in two dimensio...
HuggingFaceTB/finemath
# An object with a mass of 200 kg is hanging from an axle with a radius of 6 cm. If the wheel attached to the axle has a radius of 32 cm, how much work would it take to turn the wheel a length equal to the circumference of the axle? Sep 9, 2017 The work is $= 138.5 J$ #### Explanation: The load is $L = 200 g N$ The...
HuggingFaceTB/finemath
0.325 as a fraction What is 0.325 as a fraction? What is 0.325 as a fraction in lowest term? What does it mean to convert 0.325 to a fraction? It means that you want to convert the decimal number .325 to a fraction with a numerator (N) and denominator (D). In other words, you want to solve this equation: .325  = N D ...
HuggingFaceTB/finemath
Present Remotely Send the link below via email or IM • Invited audience members will follow you as you navigate and present • People invited to a presentation do not need a Prezi account • This link expires 10 minutes after you close the presentation Do you really want to delete this prezi? Neither you, nor the coe...
HuggingFaceTB/finemath
# Bookmaker Margins You are here:  Home >> Beginner’s Guide >> Betting Agencies >> Bookmaker Margins ### What are Bookmaker Margins? When a bookmaker sets the odds for a market they first estimate the probability of each possible outcome. For example, in a market on a coin toss winner, the bookmaker will assume the ...
HuggingFaceTB/finemath
# proofs - CS 70 Fall 2006 Proofs Discrete Mathematics for CS... This preview shows pages 1–2. Sign up to view the full content. CS 70 Discrete Mathematics for CS Fall 2006 Lecture 2 Proofs Intuitively, the concept of proof should already be familiar. We all like to assert things, and few of us like to say things tha...
HuggingFaceTB/finemath
# ALEX Resources Back Narrow Results: Lesson Plans (3) Unit Plans (1) Informational Materials (1) Interactives/Games (1) Learning Activities (4) ALEX Lesson Plans Save to ALEX | Show Details Subject: Mathematics (5) Title: Using Parenthesis in Numerical Expressions or, "Does it really matter what order I do this in?...
HuggingFaceTB/finemath
## Solution to Puzzle #124: Add the Numbers Lot of correct answers to the puzzle – the ones who sent the correct answer include Siddharth Mulherkar (good to see you on the blog!), Sandeep Singhal, Ritesh Banglani, Aditya, Pratik Poddar, Suman Saraf, Karan Sharma (my nephew who gave me the puzzle), Prakhar Prakash, Ami...
HuggingFaceTB/finemath
# Getting the Force Out in Baseball According to wikipedia, force is an influence that may cause a body to accelerate. Plain and simple, right? Yeah, if you are a physicist, but what if you are a baseball player? This article is going to break down how force relates to the different bodies involved in the game of bas...
HuggingFaceTB/finemath
# Question Bank - Geometry - Shashank Prabhu, CAT 100 Percentiler • Q38) In the triangle ABC, AB = 6, BC = 8 and AC = 10. A perpendicular dropped from B, meets the side AC at D. A circle of radius BD (with center B) is drawn. If the circle cuts AB and BC at P and Q respectively, the AP:QC is equal to [OA: 3 : 8] • Q...
HuggingFaceTB/finemath
# 26.76 kg to lbs - 26.76 kilograms into pounds kg lbs ## 26.76 kg to lbs Before we move on to the practice - it means 26.76 kg how much lbs calculation - we will tell you some theoretical information about these two units - kilograms and pounds. So let’s move on. ## 26.76 kgs in pounds We will begin with the kilo...
HuggingFaceTB/finemath
# 061-283-1001 ( SL 1.05 ) - Determine Direction Within The Target Area 33 % 67 % Information about 061-283-1001 ( SL 1.05 ) - Determine Direction Within The Target Area Published on July 16, 2009 Author: trainingnco Source: slideshare.net ## Description Determine Direction Within The Target Area DETERMINE DIREC...
HuggingFaceTB/finemath
# What is the meaning of modular arithmetic? ## What is the meaning of modular arithmetic? : arithmetic that deals with whole numbers where the numbers are replaced by their remainders after division by a fixed number in a modular arithmetic with modulus 5, 3 multiplied by 4 is 2. ## How do you do modulo arithmetic?...
HuggingFaceTB/finemath
# Statistics/Summary/Variance ### Variance and Standard Deviation #### Measure of Scale When describing data it is helpful (and in some cases necessary) to determine the spread of a distribution. One way of measuring this spread is by calculating the variance or the standard deviation of the data. In describing a c...
HuggingFaceTB/finemath
# Polarisation loss Dipole antennas For a school assignment I need to calculate a link budget between two half wave dipole antennas, but I am stuck at calculating the polarisation losses in the antennas. the antennas are ideal and matched. The antennas are 6 KM apart, the signal strengt Ps = 10 W, frequency f= 100 MHz...
HuggingFaceTB/finemath
# Probability and Permutations ## Key Questions • Permutations are arrangements of items, so the number of permutations is the number of arrangements of items. Let $P \left(n , r\right)$ denote the number of permutations of $n$ items chosen $r$ items at a time. $P \left(n , r\right)$ can be found by P(n,r)=n cdot (...
HuggingFaceTB/finemath
# math-calculus posted by . solving equations with two absolute value brackets |x+4| = |x-2| so i want to know how to do this? do i always have to write out the four piecewise possibilities? that be ++ -+ and +- ++ x+4 = x-2 4 = -2 not solution -+ -(x+4) = x-2 -x-4 = x-2 -4 = 2x-2 -1 = x solution +- x+4 = -(x-2) ...
HuggingFaceTB/finemath
```Question 518687 Let Present age of Sarah = s Present age of sister = t Sarah and her sister were born 12 years apart. s-t=12 s=12+t.........(1) sarah is 3 times older than her sister s=3t...........(2) Put the above value of s in (1) 3t=12+t 3t-t=12 2t=12 2t/2=12/2 t=6 Put the value of t in (2) s=3t s=3*6 s=18 Prese...
HuggingFaceTB/finemath
# AFS An AFS, or arithmetic frequency sequence, is a kind of arithmetic and harmonotonic tuning. ## Specification Its full specification is (n-)AFSp: (n pitches of an) arithmetic frequency sequence adding by (irrtional) interval p. The n is optional. If not provided, the sequence is open-ended. ## Formula The form...
HuggingFaceTB/finemath
# Accenture Solved Placement Papers Find Solved Placement Papers of Accenture. Find questions from quantitative aptitude, verbal and other sections compiled from Accenture placement papers. ## 3 Solved Races & Games Problems To Prepare For Accenture Aptitude Tests Below are three problems based on Races and Games. ...
HuggingFaceTB/finemath
## Exponential Functions An exponential function is of the form: where b is the base and a positive real number other than 1 and x is any real number. In this section, we will look at the domain and range of these exponential functions, as well as, look at one specific exponential function, compound interest. The d...
HuggingFaceTB/finemath
# Target: An Equations Game 2-4 ## Objective Students will practice, subtracting, adding, multiplying, and dividing. ## Materials • a deck of cards per pair of students ## Method • Ask students to get into pairs and give each pair a deck of cards. • Ask students to shuffle the cards and lay the first five face u...
HuggingFaceTB/finemath
Solutions by everydaycalculation.com 1st number: 1 3/4, 2nd number: 6/49 7/4 + 6/49 is 367/196. 1. Find the least common denominator or LCM of the two denominators: LCM of 4 and 49 is 196 2. For the 1st fraction, since 4 × 49 = 196, 7/4 = 7 × 49/4 × 49 = 343/196 3. Likewise, for the 2nd fraction, since 49 × 4 = 196,...
HuggingFaceTB/finemath
Today our python built-in function is abs() which is useful for converting any type of number like complex, negative, integer and large to it’s absolute number. ### Need of abs() function in Python: When we are doing some math work it is require to convert different types of numbers to their absolute value and do cal...
HuggingFaceTB/finemath
# Solve the following quadratic equation : 2x^2 - √3 x + 1 = 0 28 views closed 2x2 - √3 x + 1 = 0 +1 vote by (33.3k points) selected Given equation is 2x2 – √3 x + 1 = 0 Comparing with ax2 + bx + c = 0, we get a = 2, b = -√3, c = 1 Discriminant = b2 – 4ac = (-√3)2 – 4 × 2 × 1 = 3 – 8 = -5 < 0 So, the given ...
HuggingFaceTB/finemath
Present Remotely Send the link below via email or IM • Invited audience members will follow you as you navigate and present • People invited to a presentation do not need a Prezi account • This link expires 10 minutes after you close the presentation Do you really want to delete this prezi? Neither you, nor the coe...
HuggingFaceTB/finemath
# Math posted by on . Using the formula for the surface area of a SPHERE: Use Pi = 3.14 If the diameter of a sphere is 8 feet, find the surface area (round to the nearest square foot) 201 sq ft If a quart of paint covers 75 square feet, how many quarts of paint are needed to paint the surface? quarts What is the...
HuggingFaceTB/finemath
algebra posted by . Use synthetic division to find P(3) for P(x)=x^4-6x^3-4x^2-6x-2 • algebra - hard to explain synthetic division here. If you know how to do it, then you just need to know that p(3) is the remainder after doing the division. That's because p(x) = (x-3)*q(x) + p(3) If x-3 divides p(x), then ther...
HuggingFaceTB/finemath
# BigInteger.Compare(BigInteger, BigInteger) メソッド ## 定義 2 つの BigInteger 値を比較し、1 番目の値が 2 番目の値よりも小さいか、同じか、または大きいかを示す整数を返します。Compares two BigInteger values and returns an integer that indicates whether the first value is less than, equal to, or greater than the second value. ``````public: static int Compare(System::Num...
HuggingFaceTB/finemath
Calculus Volume 2 # 7.5Conic Sections Calculus Volume 27.5 Conic Sections ### Learning Objectives • 7.5.1 Identify the equation of a parabola in standard form with given focus and directrix. • 7.5.2 Identify the equation of an ellipse in standard form with given foci. • 7.5.3 Identify the equation of a hyperbola in...
HuggingFaceTB/finemath
# Algebra tutor near me There are a lot of Algebra tutor near me that are available online. We can help me with math work. ## The Best Algebra tutor near me One tool that can be used is Algebra tutor near me. To solve complementary angles, you will need to find the value of one angle, and then subtract that value fr...
HuggingFaceTB/finemath
This is not the document you are looking for? Use the search form below to find more! Report # The development of a critical thinking conceptual model to enhance ... Document Description This paper aims to describe the development of a critical thinking conceptual model which was constructed to guide the teaching an...
HuggingFaceTB/finemath
# How to prove this limit problem? Tags: 1. Nov 13, 2014 ### Windows_xp 1. The problem statement, all variables and given/known data Let f : (a, b) → R be a differentiable function and x0 ∈ (a, b). For any h > 0 small, there exists θ ∈ (0, 1), depending on h, such that f(x0 + h) = f(x0) + hf'(x0 + θh). If f is twic...
HuggingFaceTB/finemath
# Home / Arithmetic Aptitude / Permutation and Combination :: General Questions ### Arithmetic Aptitude :: Permutation and Combination 1. From a group of 7 men and 6 women, five persons are to be selected to form a committee so that at least 3 men are there on the committee. In how many ways can it be done? 2. A. 5...
HuggingFaceTB/finemath
# A separable metric space and surjective, continuous function • mahler1 In summary: If f(E) is finite, most people would qualify that as being countable. At any rate you are correct that the definition of separable has to allow for your dense set to be finite - for example if X is any separable space and Y is just a ...
HuggingFaceTB/finemath
 If the line 2 (sin a + sin b) x – 2 sin (a – b) y = 3 and 2 (cos a + cos b) x + 2 cos (a – b) y = 5 are perpendicular, then sin 2a+ sin2b is equal to        : Kaysons Education If The Line 2 (sin a + Sin b) x – 2 Sin (a – b) y = 3 And 2 (cos a + Cos b) x + 2 Cos (a – b) y = 5 Are Perpendicular, Then Sin 2a+ Sin2b is...
HuggingFaceTB/finemath
# Aptitude Questions: Ratio & Proportion Set 4 Hello Aspirants. Welcome to Online Quantitative Aptitude section in AffairsCloud.com. Here we are creating question sample in Ratio & Proportion , which is common for all the competitive  exams. We have included Some questions that are repeatedly asked in exams !! 1. A s...
HuggingFaceTB/finemath
# How to Find the Vertex of a Parabola Equation ••• Wojciech Gajda/iStock/Getty Images Print In the real world, parabolas describe the path of any thrown, kicked or fired object. They're also the shape used for satellite dishes, reflectors and the like, because they concentrate all rays that enter them into a single ...
HuggingFaceTB/finemath
# A complete guide to the bayes factor test The Bayes factor test is an interesting thing. Some Bayesians advocate it unequivalently, whereas others reject the notion of testing altogether, Bayesian or otherwise. This post takes a critical look at the Bayes factor, attempting to tease apart the ideas to get to the cor...
HuggingFaceTB/finemath
# Square of a normal distribution Let $Z$ have a normal distribution with mean $\mu$ and variance $1$. Show that $Z^2$ is a continuous random variable and find its p.d.f. I really don't know what to do with this... I tried working out the CDF but it didn't get me anywhere. • Working with the CDF is a usual approach....
HuggingFaceTB/finemath
# Linear Factorizations Sec. 2.6b. First, remind me of the definition of a linear factorization… f (x) = a(x – z )(x – z )…(x – z ) An equation in the following. ## Presentation on theme: "Linear Factorizations Sec. 2.6b. First, remind me of the definition of a linear factorization… f (x) = a(x – z )(x – z )…(x – z ) ...
HuggingFaceTB/finemath
# Question Given an Android 3x3 key lock screen and two integers m and n, where 1 ≤ m ≤ n ≤ 9, count the total number of unlock patterns of the Android lock screen, which consist of minimum of m keys and maximum n keys. Rules for a valid pattern: 1. Each pattern must connect at least m keys and at most n keys. 2. Al...
HuggingFaceTB/finemath
Big Omega Proof If $f_1(x)$ and $f_2(x)$ are functions from the set of positive integers to the set of positive real numbers and $f_1(x)$ and $f_2(x)$ are both $\Omega(g(x))$, is $(f_1 − f_2)(x)$ also $\Omega(g(x))$? How do I prove/disprove this? - No. It is not. For instance, consider $f_1(x) = f_2(x) = x^2$ and $...
HuggingFaceTB/finemath
# How to Create a Vector with Random Numbers in R The ability to generate vectors filled with random numbers is an essential skill for anyone working in data science, statistics, or any field requiring data manipulation and analysis. The R programming language offers a wide range of functions for generating random num...
HuggingFaceTB/finemath
## 3.2 Chaos Game The method of generating fractals presented in the previous chapter is based on recursion. By composing the transformations, the number of objects we need to draw grows exponentially. In the case of the fern, which consists of four transformations, generating a fern at a depth of 10 requires drawing ...
HuggingFaceTB/finemath
# What can you multiply to 120? 120 can be multiplied by any number, but some noteworthy examples are 12, 10, 8, 6, 5, 4, 3, 2 and 1. All of the above multiples of 120 equal 120 when multiplied together. Other than these numbers, any other number multiplied by 120 will result in a larger product. For example, 4 x 120...
HuggingFaceTB/finemath
# Search by Topic #### Resources tagged with NC Number and Place Value similar to Domino Patterns: Filter by: Content type: Stage: Challenge level: ### There are 55 results Broad Topics > NC > NC Number and Place Value ### Grouping Goodies ##### Stage: 1 Challenge Level: Pat counts her sweets in different groups...
HuggingFaceTB/finemath
# Designing a PD controller for a unity feedback control system I am really struggling to see how the constants Kp and Ks can be solved for the closed loop unity feedback system shown in the image below. This compensator in pink is being designed such that the complex conjugate poles of the system are shifted so that...
HuggingFaceTB/finemath
Number - Fractions 3 - Adding and Subtracting Fractions (Different Denominators) Subject Resource Type Product Rating File Type PDF (Acrobat) Document File 246 KB|2 pages Share Also included in: 1. Bundle of five fraction worksheets!Fractions 1: Addition and Subtraction (same denominator). See here: https://www.teac...
HuggingFaceTB/finemath
# CEC 2014 Convention & Expo Bradley J. Kaffar Nancy S. Fitzgerald Dustin B. Mancl Margaret A. Vanderwarn Evidence-Based Practices to Improve Achievement. ## Presentation on theme: "CEC 2014 Convention & Expo Bradley J. Kaffar Nancy S. Fitzgerald Dustin B. Mancl Margaret A. Vanderwarn Evidence-Based Practices to Impro...
HuggingFaceTB/finemath
Subject Area Lessons ## #172. Lines and Angles Mathematics, level: Elementary Posted Wed Jun 2 10:51:03 PDT 1999 by Charity Begley (charityb@mindspring.com). Materials Required: Twizzlers Candy, pipe cleaners, paper, pencils, protractors Activity Time: 1 hour Concepts Taught: Geometry 1.) To begin the lesson, the cl...
HuggingFaceTB/finemath
Solving Equations with Variables on Both Sides of the Equation GOAL: I can solve problems that have variables on both sides of the equation. Text reference: Chapter 2, section 4, pages: 102 ─ 108 Illinois learning standard: 8.C.3 NCTM standard: XX─XX Lesson Vocabulary Identity Equation An identity equation is a equ...
HuggingFaceTB/finemath
Uh Oh! It seems you’re using an Ad blocker! We always struggled to serve you with the best online calculations, thus, there's a humble request to either disable the AD blocker or go with premium plans to use the AD-Free version for calculators. Or # Square Root Curve Calculator Enter the percentage grade in the too...
HuggingFaceTB/finemath
Thursday , July 7 2022 # NCERT 5th Class (CBSE) Mathematics: Decimals ### Use a shortcut! Move both decimal points in the dividend and in the divisor by the same number of places till the divisor is a whole number. (a) 0.288÷2.4 = ? Step 1.   2.4 ) 0.288 ( Step 3.      24 ) 02.88 ( (b)1.2÷o.15 ## USING MULTIPLICAT...
HuggingFaceTB/finemath
+0 # Use the given graph of the function g to find the following limits: +1 302 1 Use the given graph of the function g to find the following limits: 1. $$\displaystyle \lim_{x \to 2^{-}}g(x) =$$ 2. $$\displaystyle \lim_{x \to 2^{+}}g(x) =$$ 3. $$\displaystyle \lim_{x \to 2}g(x) =$$ 4. $$\displaystyle \lim_{x \to...
HuggingFaceTB/finemath
Home > English > Class 12 > Maths > Chapter > Relation, Function & Itf > If domain of f(x) is(-oo,0), t... Updated On: 20-06-2022 Get Answer to any question, just click a photo and upload the photo and get the answer completely free, Text Solution bigcup_(n epsilonI)[n+1/3,n+1/2](-oo,0)bigcup_(n epsilon...
HuggingFaceTB/finemath
# Gravitational pull on Earth is 6 times the gravitational pull on the Moon. If a rock on the moon has a mass of 1.2 kg, what is its mass on Earth? 2 by Tiesha100 2014-08-21T13:56:30-04:00 The same mass. 1.2 kg. The mass is constant. Only F is different. For Example on Moon is 1.2 kg*(1/6)*9.81/ m/(s^2). On Earth is...
HuggingFaceTB/finemath
The list of Negative Factors of 28 are: -1, -2, -4, -7, -14, and -28. Also, What are multiples of 28? Multiples of 28 • First five multiples of 28: 28, 56, 84, 112, and 140. • Prime Factorization of 28: 28 = 2 2 × 7. Hereof, What are the factors of 30? Factors of 30 • Factors of 30: 1, 2, 3, 5, 6, 10, 15 and 30...
HuggingFaceTB/finemath
PDF chapter test Let's see the remarkable property that connects three angles of a triangle. The sum of the measure of three angles of a triangle is 180°. Example: Consider a triangle $$ABC$$ with interior angles measures $$∠1$$, $$∠2$$ and $$∠3$$. By the sum of measure of angles of triangle property, $$∠1 + ∠2 + ∠3 ...
HuggingFaceTB/finemath
# Questions on Characteristic Curves - Filament Lamp Q1. In an attempt to investigate how the resistance of a filament lamp varies with current through the lamp, a student obtains the results shown in the table below voltage /V 0.50 1.50 3.00 4.50 6.00 12.00 current /A 0.51 1.25 2.00 2.55 2.95 4.00 resistance / (a)...
HuggingFaceTB/finemath
2014-11-07T18:34:29-05:00 ### This Is a Certified Answer Certified answers contain reliable, trustworthy information vouched for by a hand-picked team of experts. Brainly has millions of high quality answers, all of them carefully moderated by our most trusted community members, but certified answers are the finest o...
HuggingFaceTB/finemath
# Uniform distribution In probability theory and statistics, the continuous uniform distribution or rectangular distribution is a family of symmetric probability distributions. In statistics, a type of probability distribution in which all outcomes are equally likely. A coin also has a uniform distribution because the...
HuggingFaceTB/finemath
# Solve the Following Equation: 3 – 2 Cos X – 4 Sin X – Cos 2x + Sin 2x = 0 - Mathematics Sum Solve the following equation: 3 – 2 cos x – 4 sin x – cos 2x + sin 2x = 0 #### Solution $3 - 2 \cos x - 4 \sin x - \cos 2x + \sin 2x = 0$ $\Rightarrow 3 - 2 \cos x - 4 \sin x - \left( 1 - 2 \sin^2 x \right) + 2 \sin x \cos...
HuggingFaceTB/finemath
# A formula connecting on base percentage and run production (EBP) In April 2015, I set out to find the functional relationship between on base percentage (OBP) and run production for baseball teams. I did this to help answer some questions I was pondering about how much synergy results from raising a team’s on-base p...
HuggingFaceTB/finemath
### Introduction to Number Theory Number Theory is a branch of pure mathematics devoted primarily to the study of integers and integers valued functions. Application of Number theory: • Cryptography (ie. encryption and decryption ) • Numerical Analysis Things we will be discussing here. • Modular Arithmetic Modular A...
HuggingFaceTB/finemath
I need help with a simple math question : Quant Question Archive [LOCKED] Check GMAT Club Decision Tracker for the Latest School Decision Releases http://gmatclub.com/AppTrack It is currently 19 Jan 2017, 06:12 # LIVE NOW: Chat with Admission Manager and Current Student of NUS SIngapore - Join Chat Room to Particip...
HuggingFaceTB/finemath
# Problems involving Two Unknowns In this section we will explore a method of solving equations in which there are two unknown values. In these types of problems, we will begin by assigning a variable to one of the unknown values, and expressing the other value in terms of the unknown. Doing this eliminates the need f...
HuggingFaceTB/finemath
# Math posted by . 1/2 + ? = 11/12 What does ? equal • Math - 1/2 + ? = 11/12 1/2 = 6/12 6/12 + ? = 11/12 ? = 11/12 - 6/12 ? = 5/12 • Math - Thank you :-D • Math - You're welcome. :-) • Math - 1/2 + ? =11/12 11/12 - 1/2 =? 11/12-6/12=? 5/12 now for checking 1/2 +5/12=6/12 +5/12=11/12 ## Similar Questio...
HuggingFaceTB/finemath
# Optimization – Reflections First, a new resource has been added to the resource page. listed by major topics. These were researched by by Kalpana Kanwar a teacher at Wisconsin Heights High School. Thank you Kalpana! They include precalculus topics that were tested on the exams before 1998. These may be good for your...
HuggingFaceTB/finemath
# The average of 5, 7, 9, x, 15 is 10 and the average of 17, 8, 19, 16, x, y, 4 is 12. What is the value of y ? This question was previously asked in SSC GD Constable Memory Based Test (6 Feb 2023 Shift 1) View all SSC GD Constable Papers > 1. 7 2. 5 3. 8 4. 6 Option 4 : 6 Free SSC GD Constable Mini Full Test 1(New P...
HuggingFaceTB/finemath
Site Network: Home| Black Jack| ## Calculating House Edge on Basic Craps Bets Online casinos offer a large number of craps games and bets. It is therefore important to be aware of the right criteria for selecting the best bets and avoiding the worst bets in Craps. On the one hand many players opt to wager on bets wit...
HuggingFaceTB/finemath
# How do I find the derivative of log(sin^2(x))? Mar 5, 2016 First write $\log \left({\sin}^{2} \left(x\right)\right) = 2 \log \left(\sin \left(x\right)\right)$ #### Explanation: Assuming that we are using $\log$ for ${\log}_{10}$ (the common logarithm). $\frac{d}{\mathrm{dx}} \left(\log u\right) = \frac{1}{u \ln ...
HuggingFaceTB/finemath
# math A tower 125 feet high stands on the side of a hill. At a point 240 feet from the foot of the tower measured straight down the hill, the tower subtends an angle of 25 degrees. What angle does the side of the hill make with the horizontal? 1. 👍 0 2. 👎 0 3. 👁 457 1. Draw a diagram. T = top of tower B = base of...
HuggingFaceTB/finemath
# In a right-angled triangle MNK (angle K = 90 degrees) KN = 1dm, angle M = a. In a right-angled triangle MNK (angle K = 90 degrees) KN = 1dm, angle M = a. in what ratio does the height drawn to them divide the hypotenuse Since AK is the height of the ABC triangle, then the AKM triangle is rectangular, and the angle ...
HuggingFaceTB/finemath
How To Find Quartiles In Statistics? In statistics, there is a term called Outliers. An outlier is a data point that significantly differs from the other data in a sample. Sometimes, these outliers can make the statisticians more attentive about the abnormalities of experiments. The outliers also alert them about the ...
HuggingFaceTB/finemath
## The smoke and mirrors of plotting summary statistics Every scientist has, at one point or another in their career, plotted results using bar graphs or dot plots with error bars. As pointed in a previous post, these kinds of summary graphs can be misleading, especially since a depressingly large number of scientists ...
HuggingFaceTB/finemath
# Homework Help: Leaning Column Free Body Diagram 1. Dec 27, 2011 ### dstretan This is a self-study homework problem. I am trying to verify the "falling column physics" associated with leaning forward with our center of mass in front of our feet. 1. The problem statement, all variables and given/known data Describ...
HuggingFaceTB/finemath
# Momentum, Impulse and collisions Q A car of mass 1200kg travelling at a velocity of 15m/s North collides head on with a small van of mass 2200kg travelling at 10m/s South. The vehicles stick together on impact and the collisions can be considered an isolated one. The contact time of the collision is 0.4 seconds. 1. ...
HuggingFaceTB/finemath
# If 1^2 + 2^2 + 3^2...100^2 = A and 1^3 + 2^3 + 3^3...100^3 = B then 1^2*2 + 2^2*3 + 3^2*4 + 4^2*5...100^2*101 = ?? 776 views If 1^2 + 2^2 + 3^2 + ................. 100^2 = A & 1^3 + 2^3 + 3^3 + .................. 100^3 = B Then 1^2*2 + 2^2*3 + 3^2*4 + 4^2*5 ........ 99^2*100 + 100^2*101=?? posted Aug 5, 2015 ## 1...
HuggingFaceTB/finemath
0 # What is 4.99 times 2? Updated: 9/18/2023 Wiki User 13y ago 9.98 Wiki User 13y ago Earn +20 pts Q: What is 4.99 times 2? Submit Still have questions? Related questions ### What is 499 tens? 499 times 10 is 4,990 499 x 6 =2994 249.5 ### What is 200 times 5 divided by 2 times 1 minus 1? 200 * 5 = 1000100...
HuggingFaceTB/finemath
1. ## intergrals The directions state: evaluate the indefinite integrals by using the given substitutions to reduces the integrals to standard form. There were two problems i seem to not get at all. 1. (integral) (9r^2dr/(sqrt(1-r^3)) u = 1-r^3 du = -3r^2 the part that threw me off was -3r^2 is in 9r^2. All of the oth...
HuggingFaceTB/finemath