Aproduction line has three machines a, b, and c, with reliabilities of .99, .96, and .93,respectively. the machines are arranged so that if one breaks down, the others must shut down. engineers are weighing two alternative designs for increasing the line’s reliability. plan 1 involves adding an identical backup line (i. e., a series backup), and plan 2 involves providing a backup for each machine (i. e., a parallel backup). in either case, three additional machines (a, b, and c) would be used with reliabilities equal to the original three.

a. which plan will provide higher reliability?
b. explain why the two reliabilities are not the same.

step-by-step explanation: a reaction is first order. if the initial reactant concentration is 0.0200 m, and 25.0 days later the concentration is 6.25 x 10-4 m, then its half-life is:

answer: 12

step-by-step explanation:

it would be 6xy and -16xy.

x= -3 and

step-by-step explanation:

to find the roots of a cubic, use division or factoring to find the factors then set equal to 0. as this is a difference of cubes, it factors into

where a is the cube root of .

here   this is 27 and the cube root of 27 is 3. so we write using the form:

.

set each factor to 0 and solve for x.

x-3=0

x=3

the quadratic expression does not factor and must be solved using the quadratic formula.

where a = 1, b=3, and c=9

this cubic has two complex roots.