Answer:2x³+5x²-11x+4
Step-by-step explanation:
Volume = 12 * area of triangular base
area of triangle = 1/2 base * height = 3 * height
height = sqrt(5^2 - 3^2) = 4
area of triangle = 4*3 = 12
Vol of prism = 12*12 = 144 cubic units
so h = 7, k = -2, meaning the vertex is at (7, -2).
the squared variable is the "y", meaning is a horizontal parabola.
the "p" distance is negative, for a horizontal parabola that means, it's opening towards the left-hand-side.
we know the focus and directrix are "p" units away from the vertex, and we know the parabola is opening horizontally towards the left-hand-side.
the focus is towards it opens 1 unit away, at (6, -2).
the directrix is on the opposite direction, 1 unit away, at (8, -2), namely x = 8.
Answer:
In repeated sampling, 95% of the intervals constructed would contain the population mean.