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.
Answer:
no
Step-by-step explanation:
the angle that's vertical to <CEB is <DEA
vertical angles should be opposite of each other .
Answer:
128 square inches
Step-by-step explanation:
The scale factor for area is the square of the scale factor for side length. The larger octagon has an area of ...
(8/4)²(32 in²) = 4·32 in² = 128 in²
The area of octagon B is 128 square inches.
Answer:
This indicates that the chances of the mean life span today is greater than 70 years is 0.5871
Step-by-step explanation:
The past year showed an average life span of 71.8 years.

Population standard deviation = 8.9 years

We are supposed to find the mean life span today is greater than 70 years
i.e. P(X>70)
Formula : 

Z=−0.202
P(X<70)=0.4129
P(X>70)=1-P(X<70)=1-0.4129=0.5871
Hence This indicates that the chances of the mean life span today is greater than 70 years is 0.5871