<span>With 1026 being the mean score on the SAT and StDev of 209, Jessica has a score of 799/209 z-scores above the mean. Her z-score would be 3.823. The mean of the ACT and StDev are 20.8 and 4.8, respectively. A 28 ACT score would be 7.2/4.8 z-scores above the mean, for a z = 1.500. This means that Jessica has the higher z-score.</span>
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Volume of a cone is calculated as:

Volume of the cylinder is calculated as:

The radius of cylinder is twice the radius of cone. So R=2r. The two volumes are given to be equal, so we can write:
Thus, the height of the cylinder will be h/12
We first calculate the expression for (g - f)(x) by subtracting f from g: 6x - (4 - x^2) = x^2 + 6x - 4
Then since we need to calculate the value for x = 3:
(g - f)(3) = 3^2 + 6(3) - 4 = 9 + 18 - 4 = 23
Therefore, (g - f)(3) = 23.
Answer:
Part 1) Option The point of concurrency of the angle bisectors of the triangle
Part 2) Option A segment drawn from a vertex to the midpoint of the opposite side
Step-by-step explanation:
Part 1)
we know that
The <u>incenter</u> is the point where the angle bisectors intersect. The incenter is also the center of the triangle's incircle.
therefore
Is the point of concurrency of the angle bisectors of the triangle
Part 2)
we know that
A <u>median</u> of a triangle is a line segment joining a vertex to the midpoint of the opposite side
therefore
Is a segment drawn from a vertex to the midpoint of the opposite side