Answer:

And replacing we got:


Step-by-step explanation:
For this case we have the following info given:
represent the mean
represent the deviation
We select a sample size of n=100. This sample is >30 so then we can use the central limit theorem. And we want to find the distribution for the sample mean and we know that the distribution is given by:

And replacing we got:


<span>The definition of quadratic function is given by:
</span>

<span>
So the problem asks for two conditions:
<em>1. Write the quadratic function in factored form.
</em>
<em>2. The vertex has an x-coordinate of 3.</em>
Then the equation (1) must be written as follows:
</span>

<span>
To satisfy the two conditions:
So we are free to choose the value of one root, say:

Thus:
Finally,
the answer is:

The graph of this function is shown in the figure below.</span>
Answer:
-1
Step-by-step explanation:
A line in the opposite direction will make a perpendicular line (90° Angle)
Answer:
- registration fee: $50
- monthly fee: $80
Step-by-step explanation:
Let r and m represent the registration fee and the monthly fee, respectively. We are told that the charges are ...
370 = r + 4m
530 = r + 6m
This is your system of equations.
__
Subtract the first equation from the second to start the solution.
(530) -(370) = (r +6m) -(r +4m)
160 = 2m . . . . . . simplify
80 = m . . . . . . . . divide by 2
Using this value in the first equation, we find ...
370 = r + 4(80)
50 = r . . . . . . . . . . . . subtract 320
The registration fee is $50; the monthly fee is $80.
Answer:
4
Step-by-step explanation:
2+2=4