How can I construct a truth table for ~(p ^ q)?
1 answer:
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Answer:
The answer to your question is x = 0 and x = 1
Step-by-step explanation:
Equation
1)
Expand
2) x² + x + x² - x - 2x + 2 = -1(x - 2)(x + 1)
Simplify
3) 2x² -2x + 2 = -1(x² + x - 2x - 2)
4) 2x² - 2x + 2 = -x² + x + 2
Equal to zero
5) 2x² - 2x + 2 + x² - x - 2 = 0
6) 3x² - 3x = 0
Factor
7) 3x(x - 1) = 0
8) 3x₁ = 0 x₂ - 1 = 0
9) x₁ = 0/3 x₂ = 1
10) x₁ = 0 x₂ = 1
Answer:
a)
b)
c)
Step-by-step explanation:
Binomial probability distribution
The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.
In which is the number of different combinatios of x objects from a set of n elements, given by the following formula.
And is the probability of X happening.
(a) A fair die is rolled 50 times. X = number of times a 5 is rolled
The die is rolled 50 times, so .
Each roll can have 6 outcomes. So the probability that 5 is rolled is
(b) A company puts a game card in each box of cereal and 1/100 of them are winners. You buy sixteen boxes of cereal, and X = number of times you win.
You buy 16 boxes of cereal, so .
1 of 100 are winners. So .
(c) Jack likes to play computer solitaire and wins about 25% of the time. X = number of games he wins out of his next 26 games.
He plays 26 games, so .
He wins 25% of the time, so
We have that . So