It is to be noted that the Area of the Triangle formed by the points of intersection of the Parabola derived from the equation y = a(x-3) (x+2) with the derived coordinates is 12.

<h3>What is a Parabola?</h3>

In mathematics, a parabola is a symmetrical open plane curve generated when a cone meets a plane parallel to its side.

Under the influence of gravity, a projectile's journey follows a curve of this shape.

Solution:

Step I - recall that y=a(x-3)(x+2)

This means that the base of the triangle is: 3-(-2) = 5

It's Height is = 6a. We arrive at this value when we make x = 0 and utilize the absolute value of the derivation.

Given that the area of a triangle is:

y=a(x-3)(x+2), we therefore have the following equation:

12 = 1/2 * 5 * 6 * A

If A = 4/5, then the solution to our equation comes to 12.

Learn more about Parabola at:
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6 0

2 years ago

The Thomas Supply Company Inc. Is a distributor of gas-powered generators. As with any business, the length of time customers ta

gulaghasi [49]

Answer:

(a) 31 , 54

(b) 48

Explanation:

Data set : 13 13 13 20 26 29 31 33 34 34 35 35 36 37 38 41 41 41 45 45 47 47 48 52 54 56 56 62 67 82
Part a requires you to find second decile and 8th decile
For second decile there are 30 elements for second decile:

(a) Locator: 0.2*30 = 6

Round up to 7

20% decile = 31

For 8th decile

Locator: 0.8*30 = 24

Round up to 25

80% decile = 54

(b) To determine 67th percentile

Locator : 0.67^30 = 20.1

Round up to 22

67% percentile = 48

5 0

3 years ago