Answer:
Step-by-step explanation:
Standard form of a sideways parabola:
Given equation:
Add x to both sides:
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<u>Standard form of circle equation</u>
(where (a,b) is the center and r is the radius)
Given equation:
Group like terms:
Divide by 2:
Factor by completing the square for each variable:
Rearrange into standard form:
Therefore, the circle has a center at (4.5, 2.5) and a radius of √23
Explanation:
Refer to the table below. I've added a third row where I multiplied each x value with its corresponding frequency value f. We can refer to this row as the xf row.
Once we know the xf values, we add them up to get 245.
We'll then divide that result over the sum of the frequency values (add everything in the second row). The sum of the frequency values is 39.
So the mean is approximately: 245/39 = 6.282051 which rounds to 6.282
Notice that this mean value is fairly close to the x value which has the highest frequency.
