Traffic engineers install 12 street lights with new bulbs. the probability that a bulb will fail within 50000 hours of operation is 0.26. assume that each of the bulbs fails independently. (a) what is the probability that fewer than two of the original bulbs will fail within 50000 hours of operation? (b) what is the probability that no bulbs will have to be replaced within 50000 hours of operation? (c) what is the probability that more than four of the original bulbs will need replacing within 50000 hours?

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

correct answer is option b.

step-by-step explanation:

the true statement about geometric figure is option b that is one line can be drawn through all three points.

if three points are on the same plane, they can be connected by a line.