The total outcomes of creating a password is 20
<h3>How to determine the total outcomes creating different passwords with the given characters and numbers?</h3>
The given parameters are
Letters = 3
Digits = 5 digits i.e 0, 2, 4, 6, or 8.
From the question, the digits and the letters cannot be repeated.
So, we have:
Possible letters = 3 characters (position fixed)
Digits = 2 numbers
So, the total outcomes of creating different passwords is
Total = 1 * 1 * 1 * 5 * 4
Evaluate the product
Total = 20
Hence, the total outcomes of creating a password is 20
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For this case we have the following expression:
We follow the steps below:
We subtract 4x on both sides of the equation:
We subtract 10 from both sides of the equation:
Now, we must complete squares.
When we have an equation of the form:
, if we want to complete squares we must subtract c on both sides of the equation obtaining:
The square is completed by adding to both sides of the equation:
So, we have left:
In the given expression we have:
And to complete the square we have:
Rewriting we have:
We factor the left side of the equation, that is, we look for two numbers that when added together result in -8 and when multiplied as a result 16. We have:
So, we have:
Answer:
The intermediate step is to complete squares
Answer:
.
Step-by-step explanation:
The percent of change=the amount of change/the starting number
in this case, the amount of change is 36-6=30
the starting number is 6
the percent of change is therefore: 30/6=5=500%
Answer:
t = -216
Step-by-step explanation:
-8 = t/27
Multiply both sides by 27
-216 = t