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Answer:
The equation of the axis of symmetry is equal to
Step-by-step explanation:
we have
This is the equation of a vertical parabola written in vertex form open upward (because the leading coefficient is positive)
The vertex represent a minimum
The axis of symmetry is equal to the x-coordinate of the vertex
we have that
The vertex is the point (10,-6)
The x-coordinate of the vertex is 10
therefore
The equation of the axis of symmetry is equal to
Using sin(A+B) = sinAcosB + cosAsinB
sin20cos40 + cos20sin40 = sin(20+40) = sin60degree
=
sin20cos40 + cos20sin40 = sin(20+40) = sin60degree
=
Answer:
confidence interval for the proportion of all former UF students who are still in love with Tim Tebow.
(0.79 , 0.89)
Step-by-step explanation:
step 1:-
Given sample survey former UF students n = 1532
84% said they were still in love with Tim Tebow
p = 0.84
The survey sampling error
Given standard error of proportion = 2% =0.02
<u>Step 2</u>:-
The 99% of z- interval is 2.57
The 99% of confidence intervals are
p ± zₐ S.E (since sampling error of proportion =
on simplification , we get
(0.84 - 0.0514 , 0.84 + 0.0514)
(0.79 , 0.89)
<u>conclusion</u>:-
confidence interval for the proportion of all former UF students who are still in love with Tim Tebow.
(0.79 , 0.89)