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Mathematics 16 Online
OpenStudy (hba):

Stats help required

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

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, \[\sum_{}^{}fx/\sum_{}^{}f\]

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)

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

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

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

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 :/

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

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 ?

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?

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?

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.

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*

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

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

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

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

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