Is the number of light bulbs that burn out in the next year in a room with 19 bulbs a discrete random variable, continuous random variable, or not a random variable?

Discrete

Step-by-step explanation:

Given that we have to find the number of light bulbs that burn out in the next year in a room with 19 bulbs

WE see that if X is the random variable then X can take values as

0,1,219

0 is one extreme where no bulb burns out and 19 where all bulbs burn out.

We find that this random variable can never take values between two integers.

In other words these are countable and hence discrete.

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c. prove the lengths are the same.

step-by-step explanation:

you need to prove the segments are congruent. congruent segments have the same length. find the lengths of the segments using the distance formula, and compare them.

answer: c. prove the lengths are the same.