A website uses the formula above to calculate a seller’s rating, R, based on the number of favorable reviews, F, and unfavorable reviews, N. Which of the following expresses the number of favorable reviews in terms of the other variables?

F=RN/R-1

F=RN/1-R

F=N/1−R

F=N/R−1

Respuesta :

The correct formula is

RN/(1-R) = F.

To solve for F, we start by multiplying by (N+F) to remove it from the denominator:
R(N+F) = F

Distributing, we have:
RN + RF = F

Subtracting RF to collect all of the F's on one side,
RN = F - RF

Factoring out F on the right hand side,
RN = F(1 - R)

Dividing both sides by (1-R), 
RN/(1-R) = F

The correct option is Option B: F= RN/(1-R)

What is the fraction?

Fractions are numerical values that are a part of whole.

Here, it is given that

R=F/(N+F)

To solve F, multiply by (N+F) on both sides to eliminate it from the denominator:

R(N+F) = F

Using Distribution law,

RN + RF = F

Subtracting RF on both sides to take all of the F's on one side,

RN = F - RF

taking common F on the right-hand side,

RN = F(1 - R)

Dividing (1-R) both sides,

RN/(1-R) = F

Therefore the expression for the number of favorable reviews in terms of the other variable will be F= RN/(1-R)

Learn more about fraction

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