A class tossed coins and recorded 165 heads and 172 tails. What is the experimental probability of tails?
2 answers:
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Answer:
Step-by-step explanation:
Let's answer these questions in an all-encompassing kind of explanation. If you plot the vertex and the directrix, you see that the vertex is below the directrix. Because of the fact that a parabola opens AWAY from the directrix, and wraps itself around the focus, we know it's an upside down parabola of the form
The p value from the equation is a distance, specifically the distance between either the vertex and the directrix, or the vertex and the focus. The vertex is exactly in the middle of the directrix and the focus. So that tells us that the focus is 3 units below the vertex (because the directrix is 3 units above the vertex). We also know from this that p = 3.
Filling in the equation with a vertex of (0, 0) which is our h and k respectively:
which simplifies to
and multiplying both sides by -1:
. This is not standard form, but it matches what your equation is in the choices. So to sum up:
The focus is located at (0, -3) and the first choice is true.
The parabola opens upside down and the second choice is not true.
The p value is found by counting the units between the vertex and the directrix, so the third choice is not true.
We solved the equation by filling in the values for h, k, and p and got that the equation in the fourth choice is true.
So the fifth choice is not true.
The correct question is
<span>Rui is a professional deep water free diver. His altitude (in meters relative to sea level), xxx seconds after diving, is modeled by: d(x)=1/2x^2 -10x What is the lowest altitude Rui will reach?
we have that
</span>d(x)=(1/2)x² -10x
we know that
the function is quadratic (a parabola)
so
<span>the lowest altitude (depth) is the vertex
</span>
using a graph tool
see the attached figure
the vertex is the point (10,-50)
that means
His altitude (in meters relative to sea level), 10 seconds after diving is 50 meters under the sea level
therefore
the answer is
<span>the lowest altitude is 50 meters under the sea level</span>
<span>Rui is a professional deep water free diver. His altitude (in meters relative to sea level), xxx seconds after diving, is modeled by: d(x)=1/2x^2 -10x What is the lowest altitude Rui will reach?
we have that
</span>d(x)=(1/2)x² -10x
we know that
the function is quadratic (a parabola)
so
<span>the lowest altitude (depth) is the vertex
</span>
using a graph tool
see the attached figure
the vertex is the point (10,-50)
that means
His altitude (in meters relative to sea level), 10 seconds after diving is 50 meters under the sea level
therefore
the answer is
<span>the lowest altitude is 50 meters under the sea level</span>
Answer:
x = 4
Step-by-step explanation:
