Assume propositions p, q, and r have the following truth values: 2

Mathematics

1 answer:

rjkz [21]3 years ago

4 0

PAr is the correct answer

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The truth table represents statements p, q, and r. p q r p ∧ q p ∧ r A T T T T T B T T F T F C T F T F T D T F F F F E F T T F F

maksim [4K]

The table shows the results of (p ^ q) and results of (p ^ r) for all possible outcomes. We have to tell which of the outcomes of union of both these events will always be true.

(p ^ q) V (p ^ r) means Union of (p ^ q) and (p ^ r). The property of Union of two sets/events is that it will be true if either one of the event or both the events are true i.e. there must be atleast one True(T) to make the Union of two sets to be True.

So, (p ^ q) V (p ^ r) will be TRUE, if either one of (p ^ q) and (p ^ r) or both are true. From the given table we can see that only the outcomes A, B and C will result is TRUE. The rest of the outcomes will all result in FALSE.

Therefore, the answer to this question is option 2nd

5 0

3 years ago

Help me with this please! 10 points

finlep [7]

{ y ≥ 2x + 1; y > -2x - 3 } Unbound

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Hope that helps!!!! : )

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7 0

4 years ago

The following table shows the number of hours some students in two universities spend reading each week: School A 7 2 3 10 17 14

pychu [463]

The value of $Q_{1}$ , $Q_{2}$ , and $Q_{3}$ for each schools is given in the first picture below.

$Q_{1}$ is the lower quartile
$Q_{2}$ is the median
$Q_{3}$ is the upper quartile

School A:
Minimum value is 2
Maximum value is 22
The lower quartile is 2.5
The median is 10
The upper quartile is 15.5

School B:
Minimum value is 9
Maximum value is 20
The lower quartile is 12
The median is 16
The upper quartile is 18

The box plot for each school is shown in the second picture

Box plot for school A isn't symmetrical. The data tails on the right
Box plot for school B isn't symmetrical. The data tails on the left