Answer:
The statement 
is a contingency.
The statement 
is a contradiction.
Step-by-step explanation:
A tautology is a proposition that is always true.
A contradiction is a proposition that is always false.
A contingency is a proposition that is neither a tautology nor a contradiction.
a) To classify the statement , you need to use the logic laws as follows:
by the logical equivalence involving conditional statement.
by the Commutative law.
by Distributive law.
by the Commutative law.
by the Negation law.
Therefore the statement is a contingency.
b) To classify the statement , you need to use the logic laws as follows:
by the logical equivalence involving conditional statement.
by the Commutative law.
by Distributive law.
by the Negation law.
Therefore the statement is a contradiction.
Answer:
.8
Step-by-step explanation:
S= studies for
B= score of b or higher
we want P(S|B)
Using Bayes' theorem we can solve for the probability
The volume of the original cylinder is
... V = π·r²·h
For r=1 and h=1, this is
... V = π·1²·1 = π
For the new cylinder, the volume is 1.089 times that amount.
... V = 1.089π = π·1.1²·(1-k)
... 1.089/1.21 = 1-k
... k = 1 - 1.089/1.21 = 1 - 0.9 = 0.1 = 10%
The appropriate choice is (B) 10.
Answer:
1) Let's consider the first case with the number 0 the oppose is also 0 and we have that 0-0=0 so then applies
2) Now let's consider any real number a no matter positive or negative we will have that:
Or in the other case:
So then we can conclude that the expression is a general rule and is true
Step-by-step explanation:
For this case we can verify if the following expression is true or false:
The sum of x and it’s opposite is always zero?
If we want to proof this we need to show that for any number is true.
1) Let's consider the first case with the number 0 the oppose is also 0 and we have that 0-0=0 so then applies
2) Now let's consider any real number a no matter positive or negative we will have that:
Or in the other case:
So then we can conclude that the expression is a general rule and is true
476.00×5%=23.80 tax=476+23.80=499.80
499.80×15%=74.97
499.80+74.97=574.77
