What is the equation of the parabola with vertex (6,7) and focus (7,7)?
1 answer:
Answer:
Step-by-step explanation:
If you plot these points on a coordinate plane, you see that they are on the same horizontal line, y = 7, with the focus 1 unit to the right of the vertex. This means that the parabola is a sideways opening parabola, to the right, to be more specific. That means that it has the basic vertex form
where p is the distance in units from the vertex to the focus, h is the first coordinate in the vertex, and k is the second coordinate in the vertex. For us, p = 1, h = 6, and k = 7. Now we will just fill the vertex form of the equation in with our values:
We will solve this for x now by dividing each side by 4 and adding over the 6:
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Answer:
d. 0.4013
Step-by-step explanation:
Half of the area under the normal curve is found to the left of the midpoint, where z=0. For negative values of z, the area under the curve is less than half.
Area under a normal curve is always a positive value between 0 and 1, so will never be negative.
The only value that can be an area in a left-hand tail is 0.4013.
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<em>Additional comment</em>
That value corresponds to z ≈ -0.25.
