Answer:
The height of the function for any number of pounds between 0 and 100 is 0.01.
Step-by-step explanation:
As described, the probability density function is a uniform probability density function, between the values 0 and 100 pounds.
To calculate the height h of the probability density function, we can write:
If we solved this integration and rearrange
The value of the height of the probability density function is 0.01 for every value between 0 and 100 pounds.
Hello! :)
<h2>Answer:</h2>All of the following statements about the cone are true.
2.) The radius is 9 mm.
3.) The base area is calculated using the radius.
4.) The volume is one-third the volume of a cylinder with the same height and diameter.
5.) The volume of the cone is 297 pi millimeters cubed.
<h2>Explanation:</h2>The radius is always half the diameter, which is why the first choice is false, and the second choice is true.
When calculating the base, you need to use the radius. This means the third choice is true. The formula for the base area is π
Volume of the cone:
V = π
h
= × π ×
× 11
= 933.052233 mm²
Volume of a cylinder with the same height and diameter:
V = πh
= π × 81 × 11
= 891π
= 2799.15669 mm²
2799.15669 ÷ 3 = 933.052233
Option four is true.
297 × π = 933.05223 This is true.