B)6!;720
c)7!;2,520
D) 7!;5,040
Answer: D) 7!;5,040
Step-by-step explanation:
Given: The number of friends = 7
Permutations says that the number of different ways of arranging r objects out of n objects is given by ;-
By permutations the number of different ways they can sit is given by :-
Therefore, the different ways can you and six of your friends sit in your assigned seats in math class = 5,040.
Answer:
Step-by-step explanation:
As per the given statement:
The arithmetic mean (A) of two numbers (a and b) is given by the formula:
.....[1]
and
their geometric mean (G) is given by :
.....[2]
Their harmonic mean (H) is given by the formula:
Squaring both sides we get;
Substitute the given values we have;
⇒
Multiply by 2 both sides we have;
Divide both sides by a+b we have;
or
Therefore, the formula correctly gives H in terms of a and b is,
Answer:
B. The domain would only include positive integers.
C. The domain would only include positive numbers.
Step-by-step explanation:
We are given a function that represents the amount of money in the checking account.
As, the function contains the amount of money in the account, the domain cannot have negative values.
So, the domain cannot include all real numbers and it cannot include only integers.
Therefore, the domain can include positive numbers and therefore, it can also include positive integers.
Hence, B and C are correct.