Answer:
(i) A truth table shows how the truth or falsity of a compound statement depends on the truth or falsity of the simple statements from which it's constructed.
Since A ∧ B (the symbol ∧ means A and B) is true only when both A and B are true, its negation A NAND B is true as long as one of A or B is false.
Since A ∨ B (the symbol ∨ means A or B) is true when one of A or B is true, its negation A NOR B is only true when both A and B are false.
Below are the truth tables for NAND and NOR connectives.
(ii) To show that (A NAND B)∨(A NOR B) is equivalent to (A NAND B) we build the truth table.
Since the last column (A NAND B)∨(A NOR B) is equal to (A NAND B) it follows that the statements are equivalent.
(iii) To show that (A NAND B)∧(A NOR B) is equivalent to (A NOR B) we build the truth table.
Since the last column (A NAND B)∧(A NOR B) is equal to (A NOR B) it follows that the statements are equivalent.
Step-by-step explanation:
<em>2</em><em>:</em><em>1</em><em>0</em><em>:</em><em>1</em><em>6</em><em>=</em><em>2</em><em>/</em><em>1</em><em>0</em><em>=</em><em>1</em><em>/</em><em>5</em><em>÷</em><em>1</em><em>6</em>
<em>
</em>
<em>1</em><em>/</em><em>5</em><em>×</em><em>1</em><em>/</em><em>1</em><em>6</em>
<em>=</em><em>1</em><em>/</em><em>8</em><em>0</em>
<span>In
the given choices, everything can be rounded into nearest tenths.
a. 66.61 – It can be rounded into 66.6
b. 5.055 – it can be rounded into 5.1
c. 4.91 – it can be rounded into 4.9
d. 6.5 – it stays as is.
So everything can be rounded into nearest tenths, however, Letter b. 5.055 is
the only one who were rounded up because the number next to tenths value is 5,
so the rules of rounding must be followed
</span>
Answer:
The number of different 7 card hands possibility is 133784560
Step-by-step explanation:
The computation of the number of different 7 card hands possibility is shown below:
Here we use the combination as the orders of choosing it is not significant
So,
The number of the different hands possible would be
= 
= 52! ÷ (7! × (52 - 7)!)
= 133784560
Hence, the number of different 7 card hands possibility is 133784560
Answer:
Angle 3 is 65°, Angle 8 is 115°
Step-by-step explanation:
Angle 3 and 1- Linear Pair
Angle 8 and 1- Alternate Exterior