In a string of christmas lights, if any bulb fails, the entire string goes dark. suppose a bulb has a 2% chance to fail before the end of the season. further, assume that one bulb’s failure is independent of the others. if the string contains 20 bulbs, what is the probability the string fails during the holiday season (i. e. at least one of the bulbs fails)?

33.24%

Step-by-step explanation:

To determine the probability which has the string to fail during the holiday season we will compute the probability of the string not failing and then subtract this quantity from 1.

Observe that:

Then, as the failure of a bulb is independent of the others, we have that the probability that every bulb does not fail is:

Therefore, the probability the string fails during the holiday season is given by 1-0.6676=0.3324=33.24%.

according to the triangle sum theorem, all the angles in a triangle must add up to 180 degrees. if we know one angle is already 90, we do 180-90=90. the other 2 angles must add up to 90, exactly.

step-by-step explanation:

the solution is x=1

step-by-step explanation:

we are given our   equation as

let's assume

left side function is

right side function is

now, we can draw graph

and then we can get intersection point

the intersection point will be solution

so, the solution is

x=1