The standard deviation<u> </u><u>INCREASES</u>
Step-by-step explanation:
Standard deviation is used to show how the points of the data deviate from the mean. The formulae for deriving standard deviation is attached. As seen from the formulae, the greater the variance of the data from the mean, the higher the Standard Deviation.
The mean of the given data points is $103.4. $450 is way off from this mean meaning that there is a large variance in this data point.
Answer:
Step-by-step explanation:
So you have the equation:
. As you may know, you cannot divide by 0, so y has to be restricted in a way that the denominator is never equal to 0. So to find when y makes the denominator 0, simply set the denominator equal to 0, and solve for y. This gives you the equation: 5+y = 0, y=-5. So the y value CANNOT be equal to -5. Because it makes the denominator 0. so
would be the restriction.
I'm assuming all of (x^2+9) is in the denominator. If that assumption is correct, then,
One possible answer is
Another possible answer is
There are many ways to do this. The idea is that when we have f( g(x) ), we basically replace every x in f(x) with g(x)
So in the first example above, we would have
In that third step, g(x) was replaced with x^2+9 since g(x) = x^2+9.
Similar steps will happen with the second example as well (when g(x) = x^2)