a) x=4 is 5 units to the right of x=-1.
y=12 is 4 units up from y=8.
Your point (-1, 8) is translated to (4, 12).
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b) If the parent function f(x) = x is translated so it goes through (4, 12), the translated function can be written ...
... g(x) = f(x-4) +12 = (x -4) +12
... g(x) = x +8
Answer:

Step-by-step explanation:
For each name, there are only two outcomes. Either the name is authentic, or it is not. So, we can solve this problem using the binomial probability distribution.
Binomial probability distribution
The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

In which
is the number of different combinatios of x objects from a set of n elements, given by the following formula.

And
is the probability of X happening.
In this problem.
5 names are selected, so 
A success is a name being non-authentic. 40% of the names are non-authentic, so
.
We have to find 
Either the number of non-authentic names is 0, or is greater than 0. The sum of these probabilities is decimal 1. So:




So

Answer:
decimal form is -21.44 and fractional form is -536/25
Step-by-step explanation:
The answer is A because opposite angles are the same. Therefore, 1 and 2 are congruent because their angle sizes are exactly the same.