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27 items are filed under this topic.
w varies jointly with the square of u and the cube of d 2013-01-26
From Desiree:
i don't understand how to answer this 'w varies jointly with the square of u and the cube of d'
Answered by Penny Nom.
Coefficient of variation 2011-04-14
From Braden:
When determining coefficient of variation (CV) or %CV is it possible to calculate %CV for two variables? For instance can %CV be used to determine the precision of 5 data points on a graph using the X and Y coordinates? or does %CV need to be determined for each variable separately?
Answered by Robert Dawson.
Proportionality 2010-02-27
From Nazrul:
If a is proportional to b then how can I prove that (a^2-b^2) is proportional to ab. Please show me the process in details.
Answered by ms. Dame and Tyler Wood.
Proportionality 2009-11-03
From Nazrul:
If x is proportional to y , how can I prove that (x^2-y^2) is proportional to xy. Please explain the process.
Answered by Penny Nom.
Proportionality 2009-06-29
From Nazrul:
If x is proportional to y and y is proportional to z , how can I prove that (x^2+y^2)^3/2 is proportional to z^3
Answered by Harley Weston.
Direct and inverse relationships 2009-04-06
From allison:
A piece of string is cut into n pieces of equal lengths L (1) does n vary directly or inversely with L
Answered by Penny Nom.
Direct, inverse and indirect proportionality 2009-03-04
From Brian:
My 14 year old is confused about indirectly proportional and inversely proportional. On searching on the internet we were directed to: http://mathcentral.uregina.ca/QQ/database/QQ.09.00/ellis1.html Here leanne starts explaining indirectly proportional and ends up describing inversely proportional. Has Leanne got it wrong ?
What is indirectly proportional.


Answered by Chris Fisher.
Coefficient of variation 2008-12-17
From JR:
I have read your reponses regarding the coeffcient of variation (CV) and find them very useful. I still have a question about interpreting the CV. Let's that the CV of sample #1 is 3% and that of sample #2 is 12%. Can I report that Sample #2 is 4 times more variable than sample #1? Thanks in advance!
Answered by Robert Dawson.
Partial variation 2008-11-03
From Diamond:
what are the 2 parts of partial variation?
Answered by Penny Nom.
Inverse variation 2008-05-22
From leria:
In Boyle's law, the pressure of gas varies inversely with the volume of the gas. A volume of 11.2 liters of air exerts a pressure of 2.0 atmospheres.

determine the constant of variation and write an equation the models the relationship between the pressure of the gas P and its volume, V. Use the equation to predict the volume of air necessary to exert a presure of 0.25 atmospheres.

Answered by Janice Cotcher.
Direct and inverse variations 2007-11-27
From Julie:
Please Help I do not understand this question. X varies directly as the square of S and inversely as T. How does X change when S is doubled ? When both S and T are doubled ? I appreciate your help with this problem.
Answered by Stephen La Rocque.
Variation 2007-10-29
From deeqa:
1. A car traveled 175mi at a certain speed. If the speed had been 20mph faster, the trip could have been made in 1hr less time. Find the speed

2. The average weekly allowance A of children varies directly as their grade level, G. If the average allowance of an 8th-grade student is $8.56 per week, what is the average weekly allowance of a 5th-grade

The time T required to do a job varies inversely as the number of people P working. It takes 2hr for 4 working. It takes 2 hrs for 4 volunteers to distribute flyers to a neighborhood. How long would it take 12 volunteers to complete the job?

Answered by Penny Nom.
Direct variation 2007-10-07
From Kimberly:
If y is directly proportional to the square of x, and x=2 when y=12, then what is the value of y when x=3?
Answered by Penny Nom.
Direct variation 2007-05-07
From Jennifer:
assume that y varies directly as x. find y when x = 54 if y =1/4 when x=3/2
Answered by Stephen La Rocque.
Direct and inverse Variation 2007-04-03
From liz:
how do you tell if an equation varies Directly or Inversely? ex.

x= 2y or


i know that if you have three numbers (x. y, z) that it varies jointly but how do you tell if it is Inverse or Direct?

Thanks for the Help!


Answered by Stephen La Rocque.
What is the intensity 5m below the surface? 2007-03-31
From david:
I have this question which I am supposed to set it up and solve as a differential equation. I know how to solve the diffrential equation but I am having hard time understanding this question. Here is the question: The intensity of light in the ocean decreases the deeper you dive. In fact, the rate at which the intensity decreases is proportional to the current intensity. Setup the corresponding differential equation and solve for I(Y), the intensity I as a function of current intensity Y. If the light intensity 2m below the surface is 25% of the intensity at the surface, what is the intensity 5m below the surface. Can you please explain to me what does it mean by current intensity and how do I set this equation up. Thanks for the help.
Answered by Penny Nom.
Direct and inverse variation 2007-03-03
From Rene:
Hi I'm Rene, I'm stuck with some problems in direct and inverse variation.

I know how to solve direct and inverse problems when only one variation is in a question at a time.

EX: p varies inversely as the square root of q, and when p=12, q=36 find p when q=16

12*6 =p*4

But how would you solve a problem like.....

If s varies directly as r and inversely as t, and s=10 when r=5 and t=3, for what value of t will s=3 when r=4 ?

Answered by Penny Nom.
What is the diameter of the planet? 2006-12-07
From Niall:
In April 2005, scientists claimed to have captured light from an extrasolar planet orbiting a brown dwarf in the constellation Hydra some 230 light-years from Earth. The scientists believe the planet is about five times the mass of Jupiter.

Assume the planet has the same density as Jupiter. What is the diameter of the planet?

Answered by Stephen La Rocque.
Direct variation 2006-11-05
From Johann:
The perimeter of regular octagon varies directly with the length of one side of the octagon
Answered by Stephen La Rocque.
Direct and Inverse variation 2006-10-27
From Vishalinee:

i'm not sure how to use the words direct variation and inverse variation to describe thre relationship between:

a. speed and distance
b.speed and time
c. distance and time.

and then i need to create equations using the descriptions. i am really messed up with direct and inverse variation.

Answered by Karen McIver.
The coefficient of variation 2006-05-20
From Glenn:
What is the correct formula for coefficient of variation for a binomial distribution?
Answered by Penny Nom.
Coefficient of variation 2005-10-19
From Jan:
I am currently teaching the coefficient of variation and am wondering if there are some guidelines as to the interpretation of this statistic. I understand that it measures the variation in a variable relative to the mean - but what is the cut off for "too much" variation expressed in this way???
Answered by Andrei Volodin and Penny Nom.
Direct and inverse variation 2004-10-05
From Abraham:
Given that y varies inversely as x and x varies directly as z.If z is doubled then y is halved.Why is that true.Please explain.I'm having trouble understanding the different types of variation
Answered by Penny Nom.
d varies inversely with g 2004-09-07
From Ashlyn:
d varies inversely with g when d=-8 and g=2 a. write d as a function of g using function notation. b. find d(10).
Answered by Penny Nom.
A linear function 2002-09-09
From Chad:
If y = 9x - 13 does it represent a linear function? And if it does what is its slope and is it a direct variation?
Answered by Peny Nom.
Ciefficient of variation 2001-09-23
From Carmen:
I have a question from my OAC finite class. I've come across a problem with the coefficient of variation. I have taught my students that there are no units for coefficient of variation and it can be expressed as a percent. So, for example, a set of data with mean of 5 and standard deviation of 100 would have a CV of 5%. But what happens in this situation: the mean is 4meters and the standard deviation is 0.7mm. Is the CV 1.75% or 0.00175% or 0.0175%? I've had some students change leave the units as is, change them both to mm or change them both to meters...so which is it and why?
Answered by Penny Nom.
Direct and inverse variation 2000-12-12
From Ashley:
I'm stuck on this unit of direct and inverse variation..please and my problems and show me how to do each PLEASE!!!

Assume that y varies directly as x

If y= -4 when x = 2, find y when x= -6

Assume that y varies inversely as x

If y =-4 when x=2, find y when x =-6

Answered by Penny Nom.



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