Gale wants to buy tickets to the aquarium or the wave pool and invite some friends. He sets up a table to track the total cost f
or the tickets at each place to determine the best value. Use the drop-down menus to select appropriate column labels.
Column 1 label:
Column 2 label:
Column 3 label:
here are the label options
Gale
tickets
total cost for aquarium
total cost for wave pool
Column 1 label:
Column 2 label:
Column 3 label:
here are the label options
Gale
tickets
total cost for aquarium
total cost for wave pool
2 answers:
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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).