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Aneli [31]
3 years ago
10

A hacker is trying to guess someone's password. The hacker knows (somehow) that the password is 13 characters long, and that eac

h character is either a lowercase letter, (a, b, c, etc), an uppercase letter (A, B, C, etc) or a numerical digit (0, 1, 2, 3, 4, 5, 6, 7, 8, or 9). Assume that the hacker makes random guesses.
What is the probability that the hacker guesses the password on his first try? Enter your answer as a decimal or a fraction, not a percentage.
Mathematics
1 answer:
Serhud [2]3 years ago
8 0
There are 26 lowercase and 26 capital letters as well as 10 numerical digits, which makes for 62 total possible characters per spot. Since each of the 13 spots can be any of these 62 digits, the total number of possibilities will be 62^13. Because the hacker has to guess on the first try, he cannot rule out any possibilities. The probability that he will guess the password on the first try is 1/(62^13).
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Lesechka [4]

There's not much math work here, they just want you to eyeball the graph and give the closest grid point to where the two lines meet.

Let's translate the question.

Solution to the system

That's the x and y values where the two lines cross.  That's because the meeting point is the value of x and y that satisfies both equations.

Approximation ... to the nearest integer values

Where two integer grid lines cross is called a lattice point.  It's a point with integer coordinates.  Our solution, the meet of these two lines, doesn't fall exactly on a lattice point.  The nearest integer values means the closest lattice point to our intersection of lines.

Eyeballing the graph, I'd say (x,y)=(2,3) is the closest point.

Answer: (2,3)   second choice

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Ad libitum [116K]
-3(x+4)+6
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