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Question # A stone is thrown upwards with a speed $$u$$ from the top of a tower. It reaches the ground with a velocity $$3u$$. The height of the tower is A u2g B 2u2g C 3u2g D 4u2g Solution ## The correct option is D $$\cfrac { { 4u }^{ 2 } }{ g }$$Initial velocity$$=+u$$Final velocity $$=-3u$$acc$$=-g$$$$h=$$?$$\q...
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2.1 Linear - Integrating Factors # 2.1 Linear - Integrating Factors - GE 207K Solving... This preview shows pages 1–3. Sign up to view the full content. GE 207K Solving First-Order Linear ODE’s September 1, 2011 Once a diferential equation has been identiFed as linear and first order ,i . e . th e diferential equati...
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## How much soil do I need for my raised bed? To calculate: 1. Measure the length, width and height of your bed. (Unless the boards are very thick, don’t worry about inside/outside measurements.) 2. Multiply all the measurements together: 6 x 3 x 1.4 = 25.2 cubic feet. 3. Divide the answer by 27 to get the number of ...
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# Methods and formulas for Tally Select the method or formula of your choice. ## Counts Count is the number of times each unique value occurs. ## Cumulative counts (CumCt) A cumulative count is the cumulative total of all the counts up to that unique value. For example, suppose your data are as follows: 1, 2, 1, 1...
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# On Rocket Motion 1. Aug 16, 2010 ### Anamitra In the consideration of rocket motion we always use the principle of the Conservation of Linear Momentum.This principle holds true only for isolated systems.But the initial stage of rocket motion is strongly affected by gravity-----which is definitely an external force...
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# How to Draw an Ellipse By ## What is an Ellipse? An ellipse is a geometric shape that results from viewing a circular shape in perspective, or from a different vantage point.  In simple terms, an ellipse is an oval.  Depending on the vantage point of the viewer, an ellipse results from the distortion of an object ...
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Tutorial 4s.pdf # Tutorial 4s.pdf - THE UNIVERSITY OF HONG KONG DEPARTMENT OF... This preview shows pages 1–3. Sign up to view the full content. THE UNIVERSITY OF HONG KONG DEPARTMENT OF STATISTICS AND ACTUARIAL SCIENCE STAT1801/2901 Probability and Statistics: Foundations of Actuarial Science Example Class 4 (Sugge...
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# Bouncing Cubes and π (3Blue1Brown) Yesterday, I have noticed the wonderful video by 3Blue1Brown regarding bouncing cubes and the number $$\pi$$. Here is the video, please watch it. The answer to the problem will be given on January 20th, 2019: The problem can be stated as follows: “You have two masses on a frictio...
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# Difference between revisions of "Liberal quotient" Liberal quotient is a new term coined by Conservapedia to quantify how liberal a group is. It is useful in assessing political bias and in evaluating statements or positions by such a group. The liberal quotient is defined simply as the ratio of liberals to conserv...
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# Is this Hellinger Distance expression correct? Further to my previous post on the Hellinger Distance, there was one comment raised about there being different expressions of the Hellinger Distance. This has intrigued me. In the Encyclopedia of Distances, 3rd Ed (p266), the Hellinger Distance is given as: (I have u...
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# The data on religion wise division of 1080 workers of a factory are given below: Question: The data on religion wise division of 1080 workers of a factory are given below: Draw a pie chart to represent the above data. Solution: Total number of workers $=1080$ Central angle of each religion $=\left(\frac{\text {...
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{[ promptMessage ]} Bookmark it {[ promptMessage ]} Exam_exafm_2_ # Exam_exafm_2_ - MATH 140 EXAM#2 Dr Ellis INSTRUCTIONS 1... This preview shows page 1. Sign up to view the full content. This is the end of the preview. Sign up to access the rest of the document. Unformatted text preview: MATH 140 EXAM #2 MARCH ...
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#### What is 377 percent of 3,870? How much is 377 percent of 3870? Use the calculator below to calculate a percentage, either as a percentage of a number, such as 377% of 3870 or the percentage of 2 numbers. Change the numbers to calculate different amounts. Simply type into the input boxes and the answer will update...
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## Friday, September 9, 2011 ### No. 01 - Binary Search Tree and Double-linked List Question: Convert a binary search tree to a sorted double-linked list. We can only change the target of pointers, but cannot create any new nodes. For example, if we input a binary search tree as shown on the left side of the Figure 1...
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Search All of the Math Forum: Views expressed in these public forums are not endorsed by NCTM or The Math Forum. Notice: We are no longer accepting new posts, but the forums will continue to be readable. Topic: Joel David Hamkins on definable real numbers in analysis Replies: 98   Last Post: Jun 30, 2013 3:22 PM M...
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# Help Needed: Wave Frequency & Wavelength vs. Air Temp • Dark Visitor In summary: C is a function of temperature. Plug in the numbers and solve. The other 2 are equally simple. In summary, this conversation discusses the relationship between sound waves and air temperature. The individual is trying to find the air te...
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# Quiz Discussion A lent Rs. 5000 to B for 2 years and Rs. 3000 to C for 4 years on simple interest at the same rate of interest and received Rs. 2200 in all from both of them as interest. The rate of interest per annum is: Course Name: Quantitative Aptitude • 1] 5% • 2] 7% • 3] 7 1/8% • 4] 10% ##### Solutio...
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1270747 (number) 1,270,747 (one million two hundred seventy thousand seven hundred forty-seven) is an odd seven-digits prime number following 1270746 and preceding 1270748. In scientific notation, it is written as 1.270747 × 106. The sum of its digits is 28. It has a total of 1 prime factor and 2 positive divisors. Th...
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# Basic Electronics - Instrumentation, Measurements, Statistics - Lecture Notes, Study notes for Electronic Measurement and Instrumentation. Chhattisgarh Swami Vivekanand Technical University PDF (270 KB) 5 pages 1000+Number of visits Description Complete lecture series on Instrumentation, Measurements, Statistics cou...
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1. ## Trig angle problem A woman on an island wishes to reach point R on a straight shore on the mainland from a point P on the island. The point P is 9km from the shore and 15km from the point R. If the woman rows a boat at a rate of 3 km/h to a point Q on land, then walks the rest of the way at a rate of 5km/h, expr...
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+0 # given -3x+4y=-8 0 124 1 +153 given -3x+4y=-8 a. identify the slope: b. identify the y-intercept Tiffybean  Oct 28, 2017 Sort: #1 +85869 +1 -3x + 4y= -8       we want to get y by itself 4y  =  3x - 8      divide both sides by  4 y  =  (3/4)x - 2      this is the slope-intercept form The slope is  (3/4)  ...
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# how to plot solution of differential system Hi, everyone! I got a question. I have a system of three Newton's equations x''=-x/(x*x+y*y+z*z)^3/2-F(t) y''=-x/(x*x+y*y+z*z)^3/2 z''=-x/(x*x+y*y+z*z)^3/2 I use ode_solver() to solve numerically the system by using y[0] for x, y[1] for y, y[2] for z like in example in ...
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+0 # 106 is the nth term for the sequence 1, 8, 15, 22...? 0 782 2 106 is the nth term for the sequence 1, 8, 15, 22... Jun 25, 2017 #1 +1 nth = F + (N -1)D 106 =1 + (N-1)*7 106 =1 + 7N - 7 106 - 1 + 7 = 7N 112 = 7N divide both sides by 7 N = 112 / 7 N = 16th term in your sequence. Jun 25, 2017 #2 +98130 +...
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0 # A rectangle has an area of 31.2 square meters what is the width of the rectangle if the length is 6 meters? Wiki User 2009-05-16 22:28:37 area of a rectangle = length * width. Rearranging, we have width = area / length. Therefore, the width of the rectangle = 31.2 [m2] / 6 [m] = 5.2 [m] =====================...
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# Show that there exist $x,y\in[0,1]$ such that $|u(x)-u(y)|<|x-y|^{1/2}$. Suppose $u:[0,1]\to\mathbf R$ is a bounded function, show that there exist $x,y\in[0,1]$ such that $|u(x)-u(y)|<|x-y|^{1/2}.$ I have some stupid trials but failed. It seems that we could argue via contradiction. If for each $x,y\in[0,1]$ with...
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Physics Help Forum the wave equation User Name Remember Me? Password Waves and Sound Waves and Sound Physics Help Forum Jul 9th 2017, 11:32 AM #1 Junior Member   Join Date: Jul 2017 Posts: 27 the wave equation The wave equation: d²l/dx² = (1/k²)(d²l/dt²) Can you give me, please, a clear and intuitive explanation o...
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A box contains 20 fuses of which exactly 5 are defective Non-Defective fuse, N = 15. Find the probability that at least 20 of 100 books bound by this bindery will have defective bindings. (b) What is the probability that the box, contains 3 or more defective lightbulbs? 4 A quality engineer selects 3 iPods from a box ...
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0 # What is the name of the part of a fraction that indicates the number of equal parts in the whole? Updated: 4/28/2022 Wiki User 8y ago This is the denominator, which is the bottom line of the fraction. Wiki User 8y ago Earn +20 pts Q: What is the name of the part of a fraction that indicates the number of eq...
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# Random Variables and Transformations 1. Oct 31, 2012 ### Artusartos In the last question in this link: http://pages.uoregon.edu/csinclai/teaching/Fall2009/files/hw8.pdf [Broken] 1) I did not understand how they got the region for y1, y2, and y3... 2) How would the solution be different (or not possible) if X1, ...
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# Can we take the partial derivatives of φ and ψ here? ## Homework Statement: Show that the function u=φ(xy) +√xy ψ(y/x)provides the following equation. ## Relevant Equations: u=φ(xy) +√xy ψ(y/x) I research about coordinate systems and I found the following informations about transformation. Now, if I replace arct...
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# Predicting progeny of recessive mutations using recombination I was asked this question on a test and got it wrong, but I'd like to know how to do it. The answers are shown in the blanks below: You are studying two recessive mutations in the fruit fly D. melanogaster. The red_ mutation causes flies to have red bris...
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# The Angle of Elevation of an Aeroplane from a Point on the Ground is 45° After Flying for 15seconds, the Elevation Changes to 30° . Find the Speed of the Areoplane. - Mathematics The angle of elevation of an aeroplane from a point on the ground is 45° after flying for 15seconds, the elevation changes to 30° . If the...
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# Tagged Questions 42 views ### Derivation of fundamental solution of heat equation by reduction to ODE - Question on integration factor In the derivation of fundamental solution for heat equation ( as in PDE by L.Evans ), we come across the reduction to following ODE : $\alpha w + {1\over2}r w'+ w'' +{n-1\over{r}}w...
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# small signal model, pnp Electronics - Devices Nov 2, 2013 (5 years and 1 month ago) 285 views Small Signal Model PNP Transistor Section 4.4 BJT in the active region Electrons cross the forward biased BE junction and are swept reverse biased BC junction. Large Signal Model of a BJT Called “large” signal mod...
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Three cubes of metal whose edges are 3 cm, 4 cm and 5 cm are melted to form a bigger cube. If there is no loss of metal in this process, then the diagonal of the bigger cube, in centimeters, is Free Practice With Testbook Mock Tests Options: 1. $$3\sqrt 3$$ 2. $$4 \sqrt 3$$ 3. $$8 \sqrt 3$$ 4. $$6 \sqrt 3$$ Corr...
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# Interview Question: Two Missing Numbers 35 7 Coding interview question from In this video, I show how to find the two numbers missing from a sequence of integers Do you have a big interview coming up with Google or Facebook? Do you want to ace your coding interviews once and for all? If so, Byte by Byte has every...
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## How to calculate production consumption rate Jun 20, 2017 Variable and constant consumption; Calculating consumption from a Constant if a fixed quantity or volume is required for the production,  The steps in calculating the control levels for production and consumption of of Article 2J respectively, and the applic...
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page contents Welcome to Mrs. Wendland's Website Contact Mrs. Wendland: If you would like to review your child's grades, please visit Focus: https://lee.focusschoolsoftware.com/focus/ McGraw-Hill Math Textbook If your child is absent or needs additional assistance with a section, you can visit their website: Go...
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QNT 561 nerd teaching effectively/qnt561nerddotcom 1 / 16 # QNT 561 nerd teaching effectively/qnt561nerddotcom - PowerPoint PPT Presentation QNT 561 is an online course which provides you to get best results. I am the owner, or an agent authorized to act on behalf of the owner, of the copyrighted work described. D...
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Save this PDF as: Size: px Start display at page: ## Transcription 2 TABLE OF CONTENTS About Chi Squares... 1 What is a CHI SQUARE?... 1 Chi Squares... 1 Goodness of fit test (One-way χ 2 )... 1 Test of Independence (Two-way χ 2 )... 2 Hypothesis Testing with Chi Squares... 2 STEP 1: Establish the hypotheses... 2 ST...
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My Math Forum Cube inside sphere Algebra Pre-Algebra and Basic Algebra Math Forum March 3rd, 2019, 02:55 AM #1 Newbie   Joined: Mar 2019 From: Australia Posts: 6 Thanks: 0 Cube inside sphere The largest cube that can fit into a sphere must have eight vertices touching the surface of the sphere. Express the side len...
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Check GMAT Club Decision Tracker for the Latest School Decision Releases https://gmatclub.com/AppTrack It is currently 25 May 2017, 18:47 ### 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 Dail...
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# Degree of map $S^{n-1} \times S^{n-1} \to S^{n-1}$ when restricted to one of the factors We can define the degree, $d$ of a continuous map $f:S^n \to S^n$ through the induced map, $f_*$, in homology: $x \mapsto dx$. Now consider a map $S^{n-1} \times S^{n-1} \to S^{n-1}$, and let $y \in S^{n-1}$. Let $\alpha$ denot...
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# Calculate the central depth of a triangular channel section to carry a discharge of 15 cumecs. Consider the available slope as 1 in 9000. Assume the side slopes of the channel be 1.25:1 and manning’s constant is 0.015 for good brick work in lining. +1 vote Calculate the central depth of a triangular channel section ...
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# LESSON 8-2 TRIGONOMETRIC RATIOS PROBLEM SOLVING ANSWERS Use trigonometric ratios to find side lengths in right triangles and to solve real-world problems. So the denominator of a sine or cosine ratio is always greater than the numerator. Holt Geometry Solving Right Triangles Use trigonometric ratios to find angle me...
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# A young's double-slit experiment is performed using monocromatic light Question: A young's double-slit experiment is performed using monocromatic light of wavelength $\lambda$. The inntensity of light at a point on the screen, where the path difference is $\lambda$, is $\mathrm{K}$ units. The intensity of light at ...
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# How Many Ozs Are In .04 Litre ? For converting litres to ounces consider the following scales: 1litre = 33.814 liquid oz (US) So 0.04litres = 0.04 x 33.814 So 0.04litres = 1.35256 There are 1.35256 liquid oz (US) in 0.04litres. But if you want to convert 0.04litres to normal ounces (not the fluid/liquid ones) then: ...
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SECTION 2-1 Book Work Page 41 Conceptual Challenge 1. Space Shuttle: A space shuttle takes off from Florida, and circles around Earth several times, finally landing in California. While the shuttle is in flight, a photographer flies from Florida to California to take pictures of the astronauts when they step off the s...
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# Primitive of x by Sine of a x ## Theorem $\ds \int x \sin a x \rd x = \frac {\sin a x} {a^2} - \frac {x \cos a x} a + C$ where $C$ is an arbitrary constant. ## Proof With a view to expressing the primitive in the form: $\ds \int u \frac {\d v} {\d x} \rd x = u v - \int v \frac {\d u} {\d x} \rd x$ let: $\ds ...
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# 3.1 Position, Displacement, and Average Velocity , , and are fundamental concepts in . They describe an object's location and movement in space. Understanding these terms is crucial for analyzing motion and solving physics problems. Average provides a simplified view of an object's motion over time. It's calculated...
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Chapter 8, Problem 15P ### College Physics 11th Edition Raymond A. Serway + 1 other ISBN: 9781305952300 Chapter Section ### College Physics 11th Edition Raymond A. Serway + 1 other ISBN: 9781305952300 Textbook Problem # A hiker inspects a tree frog sitting on a small stick in his hand. Suddenly startled, the hike...
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# Interesting Cube Problem If the cube has a volume of 64, what is the area of the green parallelogram? (Assume points I and J are midpoints.) Go ahead, work it out. Then, go here for a more in depth discussion, including a video explanation. Also, see my very simple solution in the comments on that page. (My Precalc...
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# Difference between revisions of "2008 AMC 12B Problems/Problem 23" ## Problem The sum of the base-$10$ logarithms of the divisors of $10^n$ is $792$. What is $n$? $\text{(A)}\ 11\qquad \text{(B)}\ 12\qquad \text{(C)}\ 13\qquad \text{(D)}\ 14\qquad \text{(E)}\ 15$ ## Solutions ### Solution 1 Every factor of $10^...
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A Bettor's Guide to the Belmont Stakes Do you have your game on? We've got you covered - from understanding the odds to the track's special conditions. |  Friday, Jun 6, 2014  |  Updated 9:31 PM PDT ) | Email | Print AP Assistant trainer Alan Sherman, left, leads exercise rider Willie Delgado and California Chrome ...
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# Lesson Notes By Weeks and Term - Primary 3 2-D Shapes TERM: 2nd Term WEEK: 5 CLASS: Primary 3 AGE: 8 years DURATION: 5 periods of 40 minutes each DATE: SUBJECT: Mathematics TOPIC: 2-D shapes SPECIFIC OBJECTIVES: At the end of the lesson, the pupils should be able to 1. Describe, sort and compare circles. 2...
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Least Common Multiples 1 / 6 # Least Common Multiples - PowerPoint PPT Presentation Least Common Multiples. Multiples. Multiples are the product of a number and any whole number. LCM- least common multiple- the least multiple common to all numbers. Find by: List the multiples Ex 1: 6 and 9: 6: 6,12,18,24,30, 36,42,4...
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If you're seeing this message, it means we're having trouble loading external resources on our website. If you're behind a web filter, please make sure that the domains *.kastatic.org and *.kasandbox.org are unblocked. ### Course: Get ready for AP® Calculus>Unit 7 Lesson 1: Rational equations # Rational equations i...
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### 5Example: Shapes Here is a first illustration of the design recipe, starting with a problem statement: Sample Problem A shape is either a square, or a triangle, or a circle. The description of each shape includes its location in the plane and a color (red, green, or blue). A triangle comes with a specification of...
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My Math Forum (http://mymathforum.com/math-forums.php) -   Real Analysis (http://mymathforum.com/real-analysis/) -   -   f a.e. equals zero (http://mymathforum.com/real-analysis/27227-f-e-equals-zero.html) xinglongdada May 2nd, 2012 10:49 PM f a.e. equals zero Let $f\in L^1([0,1]), 0, and for any measuable subset $...
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## Mind Riddles: Fill the Grid With Number 1 to 8 Solve the riddle and leave your answer in the comment section. You are provided with a grid (as shown in the picture). Can you fill the grid with numbers 1-8 in a manner that none of the two consecutive numbers are placed next to each other in any direction (verticall...
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How to Learn in 24 Hours? Need Help? M-F: 9am-5pm(PST): Toll-Free: (877) RAPID-10 US Direct: (714) 692-2900 Int'l: 001-714-692-2900 24/7 Online Technical Support: The Rapid Support Center Secure Online Order: Need Proof? Testimonials by Our Users Rapid Learning Courses: MCAT in 24 Hours (2015-16) USMLE in 24 Hours...
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Bayes' Theorem and (maybe) the Stock Market motivated by e-mail from Robert P Here's an interesting problem ... or two: Problem 1 • There are two bags: bag1 and bag2. • bag1 is coloured red and contains 30 black balls and 10 white balls. • bag2 is coloured blue and contains 15 black balls and 45 white balls. • Sam i...
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# The sum and difference of two vectors are perpendicular to each other. Prove that the vectors are equal in magnitude. 8 views ago in Physics closed ago The sum and difference of two vectors are perpendicular to each other. Prove that the vectors are equal in magnitude. +1 vote ago by (2.9k points) selected ago by ...
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# Why is a strictly monotonic mapping between intervals continuous? Consider the following problem: Say $a,b\in\mathbb R$, $a <b$ and $f:[a,b]\rightarrow\mathbb R$ strictly monotonic, let's say increasing for the sake of simplicity. Let $f ([a,b])=[c,d]$ for some $c,d\in\mathbb R$. Show that $f$ is continuous. This ...
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# How To Do Basic Math In Excel (Add, Subtract, Multiply & Divide) In this tutorial, I’ll show you how to perform basic math functions in Microsoft Excel. Specifically, I will show you how to add, subtract, divide and multiply cells in Excel. So, let’s get to it. ## How to add cells in Excel ### Method 1: Use the +...
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Cody # Problem 652. Put two time series onto the same time basis Solution 2134756 Submitted on 20 Feb 2020 by malues This solution is locked. To view this solution, you need to provide a solution of the same size or smaller. ### Test Suite Test Status Code Input and Output 1   Pass t1 = [1 2 3 4 5]; d1 = [2 3 5 6 ...
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# Fifth Peano axiom — Properties of the natural numbers This question is kind of a follow-up question to this. I am also using Terence Tao's book and I still struggle to understand why the fifth Peano axiom is valid. Tao defines the fifth axiom in the following way. Axiom 2.5 (Principle of mathematical induction). L...
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0 # Give the point (2,1) and the slope -3 write and equation in standard form. What is the x-intercept? What is the y-intercept? hey. Could anyone help me? ### 2 Answers by Expert Tutors Latife V. | Physics Tutor at BataviaPhysics Tutor at Batavia 0 Standart form: y=mx+n where m is slope, and n is y intercept y=...
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# Show diagonal covariance does not guarantee independence. I was trying to show that if two variables have diagonal covariance, this does not necessarily guarantee their independence. For this, I was using an example where $$x \sim U(-1,1)$$ and $$y=X^{2}$$ to show this. Here is my try: $$p\left(y | x\right)=\delta...
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GMAT Question of the Day - Daily to your Mailbox; hard ones only It is currently 05 Dec 2019, 22:08 ### 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...
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× Percentage differential relay - What is the calculated imbalance? 1. Junior Member Pro Subscriber Join Date Mar 2019 Posts 2 Reputation Percentage differential relay - What is the calculated imbalance? A percentage differential relay with a 25 percent slope characteristic has 4.9 A in one restraint coil and 4.2A ...
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# Calculate volume of hydrogen gas evolved MCQ Question: Ammonia borane in water can release hydrogen upon hydrolysis while forming NH4BO2 as the other product. The volume (cm3) of hydrogen gas which will be evolved from the hydrolysis of 309 mg of ammonia borane (NH3BH3) with a purity of 90 % w/w at 27 °C and at at...
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# Why is median not a sufficient statistic? [duplicate] Suppose a random sample of $$n$$ variables from $$N(\mu,1)$$, $$n$$ odd. The sample median is $$M=X_{(n+1)/2}$$, the order statistic of the middle of the distribution. How to prove that sample median is not a sufficient statistic of $$\mu$$? Do we need the proba...
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The OEIS Foundation is supported by donations from users of the OEIS and by a grant from the Simons Foundation. Thanks to everyone who made a donation during our annual appeal! To see the list of donors, or make a donation, see the OEIS Foundation home page. Hints (Greetings from The On-Line Encyclopedia of Integer ...
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Algebra Tutorials! Thursday 25th of July Try the Free Math Solver or Scroll down to Tutorials! Depdendent Variable Number of equations to solve: 23456789 Equ. #1: Equ. #2: Equ. #3: Equ. #4: Equ. #5: Equ. #6: Equ. #7: Equ. #8: Equ. #9: Solve for: Dependent Variable Number of inequalities to so...
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+0 # Show work for problem. Thx 0 207 1 -23.6+(-4.8)+4 4/5*0.4-(-11.5)=? Show work. Guest Jun 6, 2017 Sort: #1 +1886 +1 Evaluating this expression is a matter of being especially attentive to the order of operations: $$-23.6+(-4.8)+(4+4/5)*0.4-(-11.5)$$ This is the original expression. Let's clean it up a bit, ...
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# A Computer Disk Drive Is Turned On Starting From Rest And Has Constant Angular Acceleration. A Computer Disk Drive Is Turned On Starting From Rest And Has Constant Angular Acceleration.. Drive to make its second revolution, 1. A computer disk drive is turned on starting from rest and has constant angular acceleratio...
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# M1 SUVAT help Watch Announcements #1 Hey guys, we've nearly finished chapter 2, but there's still one thing I don't get. When to use negative acceleration and displacement. I know that if the object is going up acceleration is -9.8 and when going down +9.8. But for example, if the object starts 20m above the ground ...
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# Search by Topic #### Resources tagged with Combinations similar to Worms: Filter by: Content type: Stage: Challenge level: ### There are 104 results Broad Topics > Decision Mathematics and Combinatorics > Combinations ### Prison Cells ##### Stage: 2 Challenge Level: There are 78 prisoners in a square cell bloc...
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Home > Affine Geometry, Algebra, Analysis > Agregation 2001 – Dual of convex sets ## Agregation 2001 – Dual of convex sets Denote ${K}$ a compact convex part of ${\Bbb{R}^n}$. If ${A}$ is an invertible ${n \times n}$ matrix prove that $\displaystyle (A(K))^* =(A^t)^{-1}(K),$ where $\displaystyle K^*=\{ y \in \Bbb{...
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# Applications Using Direct Variation ## Key Questions Direct variation in real life. #### Explanation: 1. A car travels $x$ hours with a speed of $\text{60 km/h}$ $\to$ the distance: $y = 60 x$ 2. A man buys $x$ bricks that cost $1.50 each $\to$the cost: $y = 1.50 x$3. A tree grows $x$months by $\frac{1}{2}$meter...
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# #1 MATHS RESOURCES Average Rating4.48 (based on 278 reviews) After downloading my first resource over nine years ago and receiving 93,000 viewings, I realised that the sort of resources I create seems to be what busy teachers want. Everything I make is tried and tested on my willing pupils and my aim is for everyon...
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# How do you use a calculator to evaluate tan^-1 3.9 in both radians and degree? Mar 11, 2017 ${75}^{\circ} 62$ $\frac{75.62 \pi}{180}$ $\frac{{265}^{\circ} 62 \pi}{180}$ #### Explanation: Calculator and unit circle give: tan x = 3.9 --> 2 solutions --> $x = {75}^{\circ} 62$, and $x = 180 + 75.62 = {255}^{\circ} 62...
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I was just coding for a game I'm creating, and I discovered an exciting algo, that might help some of you. I don't know if this algo or the math calculations is already out there but here it is: `````` [size=9] consider a 4x4 matrix that looks like this: [ 0 ] [ 1 ] [ 2 ] [ 3 ] [ 4 ] [ 5 ] [ 6 ] [ 7 ] [ 8 ]...
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DOW JONES, A NEWS CORP COMPANY News Corp is a network of leading companies in the worlds of diversified media, news, education, and information services. DOW JONES NEWS CORP DJIA ▲ 18395.40 -0.29% S&P 500 ▲ 2169.04 -0.16% Nasdaq ▲ 5218.92 0.13% U.S. 10 Yr ▲ 0/32 yield 1.633% Crude Oil ▲ 47.29 -0.08% Euro ▲ 1.1197 0.00...
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# What is the maximum area of a rectangle that can be circumscribed about a given rectangle with length L and width W? Feb 5, 2017 $\frac{1}{2} {\left(L + W\right)}^{2}$ #### Explanation: Let us set up a concrete scenario... $\left(\frac{L}{2} , \frac{W}{2}\right)$ $\left(- \frac{L}{2} , \frac{W}{2}\right)$ $\le...
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# Superposition of two simple harmonic motion • Krokodrile #### Krokodrile Homework Statement find the sum of cos (t+5325) + 1.5 cos (t+5325) Relevant Equations X1 + X2 Hey! I am stuck in this problem, i don't know how to sum this ecuations. I remember that its possible because the direction is the same So, i try ...
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# Project Euler Problem 7: 10,001st prime The problem statement is as follows By listing the first six prime numbers: 2, 3, 5, 7, 11, and 13, we can see that the 6th prime is 13. What is the 10,001st prime number? My code that follows is what I used to solve this with. public class Program { static bool IsPrime(lo...
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It is currently 18 Aug 2017, 10:23 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. Customized for You we will pick new questions that match your level based on your Ti...
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28 Q: A sum is being lent at 20 % per annum compound interest.what is the ratio of increase in amount of 4th year to 5th year? A) 4:5 B) 5:4 C) 5:6 D) can't be determined Explanation: Q: Simple interest on a certain sum at 7% per annum for 4 years is Rs. 2415. What will be the compound interest on the same princi...
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The Workings of Hexadecimal Code Tutorial 2, "Understanding Electronic Communication," introduced the concept of binary notation. This is how computers count-by setting the value of a two-position switch to either 0 (off) or 1 (on). Ones and zeroes work well when machines are conversing, but that language can be somew...
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# How do you write y=(-5x)+2 in standard form? Jul 9, 2015 $5 x + y = 2$ #### Explanation: Hi there, The standard form of an equation is given by; $A x + B y = C$ In this question we have, $y = \left(- 5 x\right) + 2$ It can be converted into standard form by using simple algebraic operations. First open the p...
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# Find The Odd Number/ Letters/ Number pair ? If (a) ENCF                   (b) EICB                         (c) AJCF                                    (d) EGCB 2. Palaeontology : Fossil::Phrenology:? (a) Lungs                     (b) Skull                (c) Pancreas                       (d) Thyroid 3. √AFI = M : √...
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Decimal Arithmetic FAQ Part 1 – General Questions ### Contents[back to FAQ contents] Why the increasing emphasis on decimal arithmetic? Most people in the world use decimal (base 10) arithmetic. When large or small values are needed, exponents which are powers of ten are used. However, most computers have only binar...
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The OEIS is supported by the many generous donors to the OEIS Foundation. Year-end appeal: Please make a donation to the OEIS Foundation to support ongoing development and maintenance of the OEIS. We are now in our 59th year, we have over 358,000 sequences, and we’ve crossed 10,300 citations (which often say “discove...
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# 24 Insertion Sort Interview Questions and Answers ## Introduction: Are you preparing for a job interview, whether you're an experienced professional or a fresh graduate? If you're looking to excel in the world of data sorting algorithms, you've come to the right place. In this article, we'll explore 24 common inter...
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Stat-Ease Blog Christmas Trees on my Effects Plot? posted by Shari Kraber on Dec. 3, 2020 As a Stat-Ease statistical consultant, I am often asked, “What are the green triangles (Christmas trees) on my half-normal plot of effects?” Factorial design analysis utilizes a half-normal probability plot to identify the lar...
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# Binomial Distribution Definition Formula Analysis Example ## Binomial Distribution The binomial distribution is a probability distribution that describes the number of successful outcomes in a fixed number of independent Bernoulli trials, each with the same probability of success. It is often used in financial anal...
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Probability density function (Redirected from Density function) Boxplot and probability density function of a normal distribution N(0, σ2). Geometric visualisation of the mode, median and mean of an arbitrary probability density function.[1] In probability theory, a probability density function (PDF), or density of a...
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# If 26.23 mL of potassium permanganate solution is required to titrate 1.041 g of ferrous ammonium sulfate hexahydrate, FeSO_4(NH_4)_2SO_4 * 6H_2O, chow do you calculate the molarity of the KMnO_4 solution.? ##### 1 Answer Feb 21, 2017 You can do it like this: #### Explanation: We have 1.041 g of ferrous ammonium ...
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