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.
I think that # 15 is 10,000 + 400 + 50 + 6 and #16 is 100,000 + 80,000 + 70 + 5. It's really simple to figure out; just find the number in the place value and, for how many digits after it, substitute zeros (if that makes sense).
Hope this helps!
Answer:
C
Step-by-step explanation:
I don't know how to explain it, but i did the math and that is what i got, i'm sorry if it is incorrect. Hope this helps :3
Answer:
p(greater than or equal to) -15
Step-by-step explanation:
The chance to win = 1 : 6³ = 1 / 216
To win $500, the player needs to pay $216 on average.
500/ 216 = 2.31
$2.31 win and $1 cost per game gives $1.31 net win.
