Q = d / d+ n on a manufacturer's assembly line, d parts are found to be defective and n parts are nondefective. the formula above is used to calculate a quality-of-parts ratio. What is d expressed in terms of the other two variables? a. n / 1 - q
b. nq / 1 - q
c. n / q-1
d. nq / q-1

d. nq / q - 1

General Formulas and Concepts:

Pre-Algebra

Equality Properties

Algebra I

Factoring

Step-by-step explanation:

Step 1: Define

q = d / (d + n)

Step 2: Solve for d

Multiply (d + n) on both sides:                    q(d + n) = dDistribute q:                                                 dq + qn = dSubtract qn on both sides:                         dq = d - qnSubtract d on both sides:                           dq - d = -qnFactor GCF:                                                 d(q - 1) = -qnDivide (q - 1) on both sides:                        d = -qn / (q - 1)Rearrange:                                                   d = nq / -(q - 1)Distribute -1:                                                 d = nq / 1 - q