A teacher wants to see if a new unit on taking square roots is helping students learn. She has five randomly selected students t
1 answer:
Answer:
0.51
Step-by-step explanation:
Subtract the post from the pre:
The mean of the differences is:
μ = (∑x)/n
μ = (-7−8−9−6−8)/5 = -7.6.
The standard deviation is:
s = √([∑(x−μ)] / (n−1))
s = √([(-7+7.6)²+(-8+7.6)²+(-9+7.6)²+(-6+7.6)²+(-8+7.6)²] / (5−1))
s = 1.14
The standard error is:
SE = s / √n
SE = 1.14 / √5
SE = 0.51
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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>