Sounds like you're asked to find

such that

In other words, find

that satisfies

We can factorize this as

In order that

describes a probability distribution, require that

for all

, which means we can ignore the possibility of

.
Let

.


Multiply both sides by

.

We want to find

that removes the quartic and quadratic terms from the equation, i.e.

so the cubic above transforms to

Substitute

and we get

![\implies y=\sqrt[3]{\dfrac{9+\sqrt{93}}{18}}](https://tex.z-dn.net/?f=%5Cimplies%20y%3D%5Csqrt%5B3%5D%7B%5Cdfrac%7B9%2B%5Csqrt%7B93%7D%7D%7B18%7D%7D)
the volume of the oblique pyramid is 16 cubic units
<h3>How to determine the volume</h3>
The formula for finding the volume of a oblique pyramid is given as;
Volume =
× base area/ height
Where
base area = area of a right triangle
From the lengths of the triangle given, we can deduce that the opposite side is 24unit and the adjacent side or the base is 10 unit
let's put in the values to the formula
Base area = 10 × 24
Base area = 240 units
height = 5 units
Since we have both the height and the base area, let's find the volume
Volume =
× 
Volume =
× 
Find the division
Volume = 16 cubic units
Thus, the volume of the oblique pyramid is 16 cubic units
Learn more about an oblique pyramid here:
brainly.com/question/24249430
#SPJ1
Answer:
$5.55
Step-by-step explanation:
4.25 * 3.4 = $14.45
20 - 14.45 = $5.55