Answer:
The volume of the dilated prism is .
Step-by-step explanation:
The original prism has base area and a height of
.
The volume of the original prism is .
The prism is dilated by a scale factor of .
To find the volume of the dilated prism, we multiply the volume of the original prism by .
Answer:
False
Step-by-step explanation:
Actually, the arithmetic average (or mean) is always greater or equal than the geometric average. This is known as the Arithmetic-Geometric inequality (AM inequality). Let a,b be two real numbers, then the AM inequality states that
To see that the given statement is false, consider a=1, b=3. The arithmetic mean is equal to (1+3)/2=2, and the geometric mean is equal to but
, contrary to the statement (arithmetic>geometric in this case).