6y + 2x = 24 and 2y – x = -2
1 answer:
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The test statistic and p-value of the given data are 6.274 and 0.0001 respectively.
<h3>Test Statistic</h3>The test statistic can be calculated using the formula below
Solving for the mean and standard deviation, we can substitute the values into the above equation which will be
Using the data from the test statistic, we can calculate the p-value of the data
From the calculation above, the test statistic and p-value of the given data are
- 6.274
- 0.0001
Learn more on test statistic and p-value here;
Answer:
Step-by-step explanation:
The distance between the focus and the directrix is the vertical distance from the point to the line:
1 -(-3) = 4
The vertex is half that distance between the point and the line, so is at x=2 and ...
y = (-3 +1)/2 = -1
The vertical scale factor of the quadratic is 1/(4p) where p is the distance from vertex to focus. Here, that distance is 2, so the equation in vertex form is ...
y = (1/(4·2))(x -2)² -1
y = (1/8)(x -2)² -1
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<em>Check</em>
Any point on the parabola is equidistant from the focus and directrix. This is easily checked at the vertex, which is halfway between focus and directrix, and at the points having the same y-value as the focus. Those two points are (-2, 1) and (6, 1), both of which are 4 units from the focus and 4 units from the directrix.
