Find the ratio of men to women

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The discussion centers on determining the number of women represented in a graph, with conflicting interpretations suggesting either 5 or 8 women. One viewpoint emphasizes that scales typically start from zero, indicating 8 women, while another perspective considers the distribution of shades in the graph, suggesting 5 women. The confusion arises from how to interpret the histogram's scale and data representation. Ultimately, the participants agree that understanding histogram conventions is crucial for accurate analysis. The conversation highlights the importance of clarity in data visualization.
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Homework Statement
see attached pdf.
Relevant Equations
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1631339612531.png

hmmmm this question is a bit confusing... i.e on the part of finding the number of women.
Looking at the graph, and say considering Red, it's pretty obvious that men are ##3##, now my confusion is on the number of women, is it ##5## or ##8##? my thinking falls on two perspectives,firstly that any scale has to start from ##0## implying ##8## and secondly by considering the different shades (spread) and using the given scale to check the distribution will imply ##5##.
 
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chwala said:
on the number of women, is it ##5## or ##8##?
5

That's the way these histograms work.
 
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I tried to combine those 2 formulas but it didn't work. I tried using another case where there are 2 red balls and 2 blue balls only so when combining the formula I got ##\frac{(4-1)!}{2!2!}=\frac{3}{2}## which does not make sense. Is there any formula to calculate cyclic permutation of identical objects or I have to do it by listing all the possibilities? Thanks
Since ##px^9+q## is the factor, then ##x^9=\frac{-q}{p}## will be one of the roots. Let ##f(x)=27x^{18}+bx^9+70##, then: $$27\left(\frac{-q}{p}\right)^2+b\left(\frac{-q}{p}\right)+70=0$$ $$b=27 \frac{q}{p}+70 \frac{p}{q}$$ $$b=\frac{27q^2+70p^2}{pq}$$ From this expression, it looks like there is no greatest value of ##b## because increasing the value of ##p## and ##q## will also increase the value of ##b##. How to find the greatest value of ##b##? Thanks
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