Answer: D.) 
Step-by-step explanation: We are given an exponential function f(x).
g(x) is an exponential function that is being reflected across y-axis.
According to rules of transformations y=f(-x).
That is variable x is being multiplied by a negative sign.
In the given options
, the variable x is being multiplied by a negative sign.
Therefore, correct option is D option.
93,538 / 92 rounded is 1,020
Answer:
(2, -5)
Step-by-step explanation:
Convert to vertex form:
3x^2 - 12x + 7
= 3(x^2 - 4x) + 7
Completing the square:
= 3[ (x - 2)^2 - 4)] + 7
= 3(x - 2)^2 - 12 + 7
= 3(x - 2)^2 - 5.
Comparing with the general form
a(x - b)^2 + c we see that the vertex is (b, c) = (2, -5).
Answer:

Step-by-step explanation:
Previous concepts
The binomial distribution is a "DISCRETE probability distribution that summarizes the probability that a value will take one of two independent values under a given set of parameters. The assumptions for the binomial distribution are that there is only one outcome for each trial, each trial has the same probability of success, and each trial is mutually exclusive, or independent of each other".
Solution to the problem
Let X the random variable of interest, on this case we now that:

The probability mass function for the Binomial distribution is given as:

Where (nCx) means combinatory and it's given by this formula:

The mean for the binomial distribution is given by:

And the variance is given by:

And the deviation is just the square root of the variance so we got:
