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gogolik [260]
4 years ago
5

How many different ways can five students form a line? Determine if the word problem is a permutation or a combination, then eva

luate.
Mathematics
1 answer:
Shtirlitz [24]4 years ago
6 0
The answer is 5 x 4 x 3 x 2 x 1 or 5! (! = factorial)
It is a permutation, as the order matters.
There are 120 ways they can form a line.
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What is the distance between the points (1, –6) and (–5, 2)? Round your answer to the nearest tenth. A. 5.6 units B. 7.2 units C
Arlecino [84]
The answer is D 10 units

5 0
4 years ago
Prove the proposition p (0), where p (n) is the proposition "if n is a positive integer greater than 1, then n2 > n." what ki
expeople1 [14]

Answer:

Vacuous proof is used.

Step-by-step explanation:

Given:

Proposition p(n) :

"if n is a positive integer greater than 1, then n² > n"

To prove:

Prove the proposition p (0)

Solution:

Using the proposition p(n) the proposition p(0) becomes:

p(0) = "if 0 is a positive integer greater than 1, then 0² > 0"

The proposition that "0 is a positive integer greater than 1" is false

Since the premises "if 0 is a positive integer greater than 1" is false this means the overall proposition/ statement is true.

Thus this is the vacuous proof which states that:

if a premise p ("0 is a positive integer greater than 1") is false then the implication or conditional statement p->q ("if n is a positive integer greater than 1, then n² > n") is trivially true.

So in vacuous proof, the implication i.e."if n is a positive integer greater than 1, then n2 > n." is only true when the antecedent i.e. "0 is a positive integer greater than 1" cannot be satisfied.

6 0
3 years ago
What is the percent decrease when the balance in a bank account goes from $300 to $60?
alekssr [168]
80% because its a huge amount the bank account goes to
5 0
3 years ago
Can someone please help me with this problem and show work?
Lina20 [59]

Answer:

The correct answer is B

Step-by-step explanation:

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7 0
3 years ago
Italian delight sells three sizes of pizzas at different prices. If you buy all three, it costs a total of $46.24. A medium pizz
beks73 [17]

Answer:

$12.99

Step-by-step explanation:

This is because 15.75+17.5= 33.25. 46.24-33.25= 12.99 and therefore, a small pizza should cost 12.99.

4 0
4 years ago
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