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DanielleElmas [232]
3 years ago
8

A train is going on a journey. First it travels east for 50 kilometers. Then it turns north and travels for 22

Mathematics
1 answer:
Igoryamba3 years ago
3 0

The train travel 20 kilometers in the southward direction to reach its original location.

Step-by-step explanation:

          The given is,

                First train travels east for 50 kilometers, then

                Turns north and travels for 22 kilometers

                 It goes west for 50 kilometers

Step:1

       Let, A - Distance of train travels from its starting point in Eastern direction at pq point

              B - Distance train travels in northward direction at qr point

              C - Distance of train travels in western direction at rs point

              D - Distance of train travels in southward direction to reach its starting location at sp point

Step:2

           Refer the attachment,

           Distance of travel in northward direction and distance of travel in southward direction are equal.

           qr = sp.............. (1)                           ( ∵ Eqn (1) from the Diagram)

           20 km = 20 km

          sp = 20 km

Result:

       So, the distance of train travel to reach its original location in southward direction is 20 km.

           

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Gnoma [55]

The probability that the hacker guesses the password on his first try is:

P = 1/(62^10) = 1.19*10^(-18)

We know that the password is 10 characters long.

In each one of these, we can put.

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So, for every single digit, we have a total of:

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Now we can find the total number of different passwords, which will be equal to the product between the number of options for each one of the characters.

We know that for each character we have 62 different options.

And we have 10 characters.

Then the product between the numbers of options is:

C = 62^10

Then if the hacker does a random guess, the probability that the random guess is correct is one over the total number of possible combinations.

P = 1/C = 1/(62^10)

The probability that the hacker guesses the password on his first try is:

P = 1/(62^10) = 1.19*10^(-18)

If you want to read more about probability, you can read:

brainly.com/question/427252

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Solve the 3x3 system shown below. Enter the values of x, y, and z.
slamgirl [31]

Answer:

x = 1

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Step-by-step explanation:

You have the following system of equations:

x+2y-z=-3\ \ \ \ \ (1)\\\\2x-y+z=5\ \ \ \ \ \ (2)\\\\x-y+z=4\ \ \ \ \ (3)

First, you can subtract euqation (3) to equation (1):

x + 2y - z = -3

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Next, you can multiply equation (3) by 2 and subtract it to equation (2):

2[ x -y + z = 4]

<u> -2x +y -z = -5</u>

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You multiply equation (5) by 2 and sum (5) with (4):

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Answer:

Step-by-step explanation:

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