A city issues 3-digit license plates for motorized scooters. The digits 0-9 are chosen at random by a computer program. What is the probability that a license plate issued meets each set of criteria

80/111

Step-by-step explanation:

For starters, since it is 3 digits inclusive of 0, from 0 - 9, then there are 1000 possible total plate combination from 000 - 999.

If no number is expected to be repeated in the combination, then there exists 10 numbers(say 0-9) for the first digit, 9 numbers(say 1-9) for the second digit and 8 numbers(1-8) for the third digit.

This means that there will be 10 * 9 * 8 total possible outcomes. Considering that the possible combinations is 999, then the probability is

10 * 9 * 8 = 720/999

And that is simplified to 80/111

pentagon

step-by-step explanation:

the coordinates   a(5, -2), b(3,-1),c(-4,-4) d(-3,8) and e(-1,4) forms the vertices of the polygon when they are connected in order.

in order to classify that which polygon is it with the given coordinates, first count the number of vertices and then count the number of sides it can make with these vertices.

since, the given coordinates have five vertices, therefore, it will make five sides. moreover, pentagon is regular in nature therefore it will be convex.

now, a polygon with five sides is known as pentagon, therefore, the given polygon is the pentagon.