Questions tagged [ratio]

For questions concerning the ratio of a certain quantity to another.

699 questions
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Reason for ratio function for comparing predicted and actual values produced by Weighted Moving Average?

I am reading a paper that describes an approach towards detecting abnormal flows within a network. From what I understand, the way they do so is by keeping a list of $n$ most recent metrics and then ...
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Example 14, Chapter 1, Higher Algebra by Henry Sinclair.

I stumbled across the question 14 in Higher Algebra by Henry Sinclair and S.R Knight: If $$(a^2 + b^2 + c^2)(x^2 + y^2 + z^2) = (ax + by + cz)^2$$ Show $$x:a=y:b=c:z$$ I started by expanding the ...
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Splitting expenses in a group

There are three friends A,B,C in a shared room. For a period of 30 days, A and B contributed amounts of 137.5 and 79.62 during the whole month whereas C's contribution is 158 during 12 days only. How ...
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Does the fact that $\lim\limits_{n\to\infty} |f(n)/f(n-1)| = 1$ imply that $\lim\limits_{n\to\infty} f(n)$ exists?

This question was inspired by another question I asked on this site. For that question, I had thought that if the differences in subsequent evaluations of a function, $f(n)$, defined with a domain of ...
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Ratio of Averages vs Average of Ratios

I'm conducting a water savings analysis and I had a couple of questions. If you answer, please provide links to references so I can read up. Thank you! :) Let's say for removing grass from a ...
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Determining x:1 from the diameter of the Sun and one of its granules. [closed]

I'm a having trouble solving the following: What is the ratio of the diameter of the Sun to the typical width of a granule on the Sun's surface? Express your final answer in the fully factorised form ...
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What does a confidence interval tell you about the relationship between two things?

So I have found a 95% confidence interval for the odds ratio of developing cancer with vitamin A intake. My sample odds ratio was 1.1667 with a 95% confidence interval of (0.5394, 2.5227). I am then ...
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Homework help : Ratio in Mathematics

So let's say that we have two bottles of orange juice: Orange juice A, and Orange juice B. Orange juice A is 1310ml, and Orange Juice B is 786ml. Now I know that their ratio of A:B is 1310:786. But ...
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Re-writing a recurrence relation

Reading a worked example in my notes on recurrence relations, I am told that the following recurrence relation R1 can be rewritten in the form below, R2: This is done by replacing $n$ with ($n - 1$)....
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Given two numbers A and B, make them in ration of 3:4 by only adding integer(s) to A or B or to both A and B

I have a set of 2 numbers say 365 and 550, I want to make them in ratio say 3:4 I have the option of adding x and y to 365 and 550, with limitation of x and y should always be integer, both or one can ...
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I'm stuck on this angular speed problem :(

So my professor gave us a bunch of problems to review over the weekend and I was able to do most of them with no problem. However this problem really confuses me. It's not being graded, but I would ...
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Given a ration x:y, make it to ratio of 1:1 or 3:4 or 4:3 by only adding some values to x or y or both.

This problem is related to programing, for which I am searching an optimal solution. Problem: I have some images in different height to width ratios. I want to make them in ratios of 1:1 or 3:4 or 4:...
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Apprently simple proportion question.

There are 5000 buyers of apples, who each on average buy 12 apples a month. There are two types of apple buyers, those that buy red apples, and those that buy green apples. The red apple buyers buy ...
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Comparing (ordering) rate and sample size

Consider some rate, i.e. fail rate where f is the number of fails and n is the number of attempts. $$failrate = \frac{f}{n}$$ $$failrate = \frac{100}{100} = 1$$ $$failrate = \frac{99}{100} = .99$$ ...
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Ratio/scaling (High school)

Have a question from my textbook which is causing some confusion. Q. A map has scale $1:7500$. A town has an area of $37.5~\text{cm}^2$ on the map. What is the real area of the town in $\text{km}^2$...
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Ratio Calculation in Linear Programming?

i struggle a bit with ratio and fraction calculations, so im just looking for some explanation for dummies of this one. in linear programming, i have a ratio constraint of 6:5, of product A to ...
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Why does 1:2 = 1/2? [closed]

My natural instincts tells me 1:2 = 1/3, because the LHS is 1 part of 3. For example, if something was in the ratio 1:1, I would expect the LHS to be 1/2 of the whole, so why is 1:1 = 1?
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If $ab=ba$, $\frac bx = \frac cz$ and $\frac ax = \frac dz$, does that mean that $ac=bd$?

If $$ab=ba, \ \frac bx = \frac cz \quad\text{ and }\quad\frac ax = \frac dz$$ does that mean that $ac=bd$? I tried to prove this but couldn't.
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Combining ratios of quantities with different sizes

A friend and I had two different answers to this seeming simple question. It goes as follows: Jar A contains flour and sugar in the ratio 5 : 1. Jar B, which is three times larger than Jar A, ...
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ratio divided by zero [closed]

I am trying to display a ratio on a graph and I am having an issue with DIV/0. What I am graphing is capture success vs the ratio of active burrows/inactive burrows. However, the ratio of active/...
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How to apply odds ratio to calculate change?

I did a control/treatment experiment and found an of odds ratio $= 2.6 (1.03-6.58)$ mortality in treatment. Thus, for every one death in control there are $2.6$ deaths in treatment. I believe the beta ...
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How to simplify the equations below trying to find for ratio test

a) $\frac{ \sin(n) + e^n}{\cos(n) + \pi^n}$ I expanded and got $\sin (n) + e^n/(cos(n) + \pi^n) x \cos (n+1) + \pi^{n+1}/\sin(n+1) + e^{n+1}$? and also how to simplify $(n+1)^e/(n^e)e$ Edit: I ...
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Quantity of areas within a larger area broken down by percentages.

I have the following problem to solve. I have a total area of At (Area Total). Example 1000m2 Within that area I want to find out how many 1 bedroom, 2bedroom, and 3bedroom units I can fit. The ...
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Ratio and Proportions Question

Can someone please answer this with proper explanation. At sahara shopping centre, a person can purchase as much articles at a time as his or her age that is a person of a years age can purchase ...
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Does the diagnostic odds ratio for a test increase, decrease or not change if there is a change in the prevalence of a disease?

Does the diagnostic odds ratio of a test change if there is an outbreak of the particular disease in the population? If so, does it increase, decrease or just stay the same?
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How to bridge operational efficiency ratio between two periods?

I am looking at operational efficiency as a ratio of indirect production costs to gross profit 1 (GP 1 does not include these indirect costs) (Ind Prod/GP). I have been asked to bridge the difference ...
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Factoring an equation by 15

The heart muscle is supplied with nutrients and oxygen through the coronary vessels. The blood flow through the coronary vessels by more than a factor of 15 through the deposition of Plaques on the ...
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We are trying to aggregate and sort records by ratios (CTR = clicks/impressions). For some obscure reasons the technology we are using does not allow us to do this. We can group and sort on additive ...
Finding the ratio of $\frac{x}{z}$
$x,y,z \in \mathbb R$ and $x,y,z \neq 0$ $$2x = 5y$$ If $$\frac{y}{3} = \frac{z}{4}$$ Find the ratio of $\frac{x}{z}$ Let me show what I thought We have $$2x = 5y$$ Which means that we ...