Mathematics
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OpenStudy (hba):
Stats help required
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OpenStudy (hba):
OpenStudy (saifoo.khan):
\[mean = \frac{\sum fx}{\sum x}\]
OpenStudy (anonymous):
ah, so it's just a weighted average.
OpenStudy (kropot72):
Solve the following for x:
\[\frac{12(x-5)+40x+8(x+5)}{60}=10\]
OpenStudy (hba):
Whatt is the general formula @kropot72
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Parth (parthkohli):
\[\dfrac{\underbrace{x - 5 + x - 5 \cdots+ x-5}_{\rm 12 ~times} + \underbrace{x + x\cdots x + x}_{\rm 40 ~ times} + \underbrace{x + 5 +\cdots+ x+5}_{\rm 8 ~times}}{12 + 40 + 8}\]
OpenStudy (hba):
Thanks a lot but there would be some general form of this :/
OpenStudy (hba):
@Mimi_x3
OpenStudy (saifoo.khan):
I wrote the general formula already.
OpenStudy (hba):
Shouldnt it be,
\[\sum_{}^{}fx/\sum_{}^{}f\]
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OpenStudy (hba):
Next.
OpenStudy (saifoo.khan):
\[Arithmetic => \frac{x+y}{2} = 10.2\]
OpenStudy (hba):
What about geometric?
OpenStudy (saifoo.khan):
Geo mean formula: √(xy)
OpenStudy (hba):
Sqrt(x*y)
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OpenStudy (hba):
Okay got it
OpenStudy (saifoo.khan):
\[√(xy) = 8.4\]
OpenStudy (hba):
Do i have to solve quad equations?
OpenStudy (saifoo.khan):
take square on both sides:
xy = sqrt8.4
x = sqrt(8.4)/y
OpenStudy (hba):
I know that
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OpenStudy (saifoo.khan):
Now substitute this in the first equation
OpenStudy (hba):
But it would be x=70.56/y
OpenStudy (saifoo.khan):
o_O
OpenStudy (hba):
Whut?
OpenStudy (hba):
sqrt(xy)=8.4
xy=70.56
x=70.56/y
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OpenStudy (saifoo.khan):
Oh right.
OpenStudy (saifoo.khan):
Actually i'm doing two things at once. XD
OpenStudy (hba):
No worries c:,This thing is going into a quad equation :(
OpenStudy (saifoo.khan):
Go for it
OpenStudy (hba):
x=77.16,-56.76 and y=77.16,-56.76
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OpenStudy (hba):
I feel like i have made a mistake :/
OpenStudy (saifoo.khan):
Let me check.
OpenStudy (hba):
Should i do it again?
OpenStudy (saifoo.khan):
x = 4.41, y = 15.99
x = 15.99, y = 4.41
OpenStudy (hba):
Lemme do it again,Stop playing with wolf :/
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mathslover (mathslover):
may i help?
OpenStudy (hba):
No thanks
mathslover (mathslover):
ok do post your answer here
mathslover (mathslover):
if you're completed with your soln
OpenStudy (hba):
I will
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OpenStudy (hba):
Okay
x=15.98,4.414 and y=4.414,15.98
OpenStudy (saifoo.khan):
great.
OpenStudy (hba):
Now next question,
I am getting b=2,b=8 and a=8,a=2
OpenStudy (hba):
So harmonic mean is 16/5=3.2
OpenStudy (hba):
Right @saifoo.khan ?
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OpenStudy (saifoo.khan):
Never heard of harmonic mean. :s
OpenStudy (hba):
Okay lets call someone else for that case,What about the observation do you think they are right?
Btw,A.M is opposite of H.M.
mathslover (mathslover):
I cn help in HM
OpenStudy (hba):
And,
H.M=N/(1/a1+1/a2+......1/an)
OpenStudy (hba):
@mathslover Do you think my answers are correct?
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mathslover (mathslover):
lemme check tht .. wait
OpenStudy (hba):
Okay
mathslover (mathslover):
yep u r right
mathslover (mathslover):
great work
OpenStudy (hba):
Thanks but now i want to ask,
As i have two diff observations a=8,b=2 and a=2,b=8 and the HM is same so should i show this two times?
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mathslover (mathslover):
yes you have to mention that it will be same in both cases
OpenStudy (hba):
Okay now next question.
OpenStudy (hba):
Wait a sec
OpenStudy (hba):
OpenStudy (saifoo.khan):
Namaz parhlo.
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OpenStudy (hba):
Chalo okay namaz kai baad krtai hai.
OpenStudy (hba):
Han continue karlain @saifoo.khan
OpenStudy (hba):
@AravindG Can you help?
OpenStudy (aravindg):
sorry I am a really busy ...
OpenStudy (hba):
I am really busy*
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OpenStudy (hba):
@saifoo.khan I am waiting :/
OpenStudy (hba):
@hartnn Help pleaseeeeeeeeeeeeee
OpenStudy (hba):
@hartnn
See the last attachment
hartnn (hartnn):
same weighted average formula.
hartnn (hartnn):
(700*8.5+800*7.5+500*8)/2000
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hartnn (hartnn):
\(\sum_{}^{}fx/\sum_{}^{}f\)
OpenStudy (hba):
I was thinking about using this but i am not getting why is sum of f=2000
hartnn (hartnn):
sum of f = 700+800+500
OpenStudy (hba):
Okay thanks :)
OpenStudy (hba):
I am getting mean=7.85,Am i right? @mathslover
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OpenStudy (hba):
@hartnn
OpenStudy (hba):
Close enough lol :P
I am using a casio scientific calculator,I dont know why it rounded the answers :/
OpenStudy (hba):
Oh yeah i checked it again,Its 7.95 thanks.
I have another question may i ask? @hartnn
hartnn (hartnn):
yes
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OpenStudy (hba):
Okay here we go :D
hartnn (hartnn):
you tried ?
OpenStudy (hba):
Wait wait dont answer i am trying
OpenStudy (hba):
\[\sum_{i=1}^{n}a_i=16.2\]
Okay @hartnn Please explain