Math

Ask a Math Question, Get an Answer ASAP!

Have your own Math question?

5 Math Tutors are Online Now

characters left:

Not a Math Question?

Question

Hi, if you have two values (say 0.5 and 1.5) and you want to find a weighted average of those two values that equaled 1 what is the best way of finding it?

Submitted: 307 days and 17 hours ago.

Category: Math

Value: $18

Status: CLOSED

Hi

we have to find a and b (weights) where
0.5a + 1.5b=1
and a+b=1

then

0.5a+1.5(1-a)=1

then

-a+1.5=1 then a=0.5 then b=0.5

solution:

0.5(0.5)+0.5(1.5)=1

weights are 0.5 and 0.5 and values 0.5 and 1.5

Thanks

Steve

Accepts:
Expert:	Steve
Pos. Feedback:	100.0 %
Answered:	1/19/2009

Teacher

I teach Calculus and Probability in an University since 1994

307 days and 16 hours ago.

Reply

Hi,

I'm not sure that I did myself any favours by using 0.5 and 1.5 as examples. Say instead that the values are 0.75 and 1.8. Once again I'm looking for combination of weightings that will deliver 1.

I've put the following into Excel and it comes out with an answer that is close to one but still not the elusive number 1.

1 = 0.762 x 0.75 + 0.238 x 1.8

Thanks

Toby

Posted by Steve 307 days and 16 hours ago.

Info Request

0.75a+1.8b=1
a+b=1

0.75a+1.8(1-a)=1

0.75a-1.8a+1.8=1
-1.05a=-0.8
a=80/105=16/21 then b=5/21

Weights are 16/21 and 5/21

Thanks

Steve

Any bonus is appreciated

Disclaimer: Information in questions, answers, and other posts on this site ("Posts") comes from individual users, not JustAnswer; JustAnswer is not responsible for Posts. Posts are for general information, are not intended to substitute for informed professional advice (medical, legal, veterinary, financial, etc.), or to establish a professional-client relationship. The site and services are provided "as is" with no warranty or representations by JustAnswer regarding the qualifications of Experts. To see what credentials have been verified by a third-party service, please click on the "Verified" symbol in some Experts' profiles. JustAnswer is not intended or designed for EMERGENCY questions which should be directed immediately by telephone or in-person to qualified professionals.

Math

Have your own Math question?

Related Math Topics:

Question

Hi, if you have two values (say 0.5 and 1.5) and you want to find a weighted average of those two values that equaled 1 what is the best way of finding it?

Accepted Answer

Hi

we have to find a and b (weights) where
0.5a + 1.5b=1
and a+b=1

then

0.5a+1.5(1-a)=1

then

-a+1.5=1 then a=0.5 then b=0.5

solution:

0.5(0.5)+0.5(1.5)=1

weights are 0.5 and 0.5 and values 0.5 and 1.5

Thanks

Steve

Reply

Info Request

0.75a+1.8b=1
a+b=1

0.75a+1.8(1-a)=1

0.75a-1.8a+1.8=1
-1.05a=-0.8
a=80/105=16/21 then b=5/21

Weights are 16/21 and 5/21

Thanks

Steve

Any bonus is appreciated

Math

Have your own Math question?

Related Math Topics:

Question

Hi, if you have two values (say 0.5 and 1.5) and you want to find a weighted average of those two values that equaled 1 what is the best way of finding it?

Accepted Answer

Hiwe have to find a and b (weights) where0.5a + 1.5b=1and a+b=1then0.5a+1.5(1-a)=1 then-a+1.5=1 then a=0.5 then b=0.5solution:0.5(0.5)+0.5(1.5)=1weights are 0.5 and 0.5 and values 0.5 and 1.5ThanksSteve

Reply

Info Request

0.75a+1.8b=1a+b=10.75a+1.8(1-a)=10.75a-1.8a+1.8=1-1.05a=-0.8a=80/105=16/21 then b=5/21Weights are 16/21 and 5/21ThanksSteveAny bonus is appreciated

Related Math Questions

Hi

we have to find a and b (weights) where
0.5a + 1.5b=1
and a+b=1

then

0.5a+1.5(1-a)=1

then

-a+1.5=1 then a=0.5 then b=0.5

solution:

0.5(0.5)+0.5(1.5)=1

weights are 0.5 and 0.5 and values 0.5 and 1.5

Thanks

Steve

0.75a+1.8b=1
a+b=1

0.75a+1.8(1-a)=1

0.75a-1.8a+1.8=1
-1.05a=-0.8
a=80/105=16/21 then b=5/21

Weights are 16/21 and 5/21

Thanks

Steve

Any bonus is appreciated