A combination lock has 3 wheels, each numbered from 0 to 9 guess the combination by writing five different numbers from 0 to 999 on a piece of paper. Find the probability that the correct combination is written on the paper.

Step-by-step explanation:

Given that the probability of a written event is:

P =

Guessing the combination by writing 5 different numbers, from 0 to 999, on a piece of paper. There are therefore 5 different possible outcomes to this.

However, there is only one correct combination written on the paper which is actually the only favorable outcome.

Probability of event = =

Therefore, the probability that the correct combination is written on the paper is .

answer: (c) m∠qpo + (2x + 16)° = 180°

step-by-step explanation:

the opposite angles of a quadrilateral are supplementary.

so, ∠o + ∠q = 180°   and   ∠p + ∠r = 180°

since ∠r = 2x + 16°, we can use substitution as follows:

∠p + ∠r = 180°

∠p + (2x + 16)° = 180°