Suppose 1% of cotton fabric rolls and 4% of nylon fabric rolls contain flaws. Of the rolls used by a manufacturer, 70% are cotton and 30% are nylon. What is the probability that a randomly selected roll used by the manufacturer contains flaws?

0.019 or 1.9%

Step-by-step explanation:

The probability that a randomly selected roll used by the manufacturer contains flaws is determined by the probability of a flawed cotton roll occurring (1% x 70%) added to the probability of a flawed nylon roll occurring  (4% x 30%) .

The probability that a randomly selected roll contains flaws is 0.019 or 1.9%

there are many solutions.

step-by-step explanation:

step 1: simplify both sides of the equation.

4x+6=4x^2+10x−4

step 2: subtract 4x^2+10x-4 from both sides.

4x+6−(4x^2+10x−4)=4x^2+10x−4−(4x^2+10x−4)

−4x^2−6x+10=0

step 3: factor left side of equation.

−2(2x+5)(x−1)=0

step 4: set factors equal to 0.

x=-5/2 or x=1