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
Answer:
14units
Step-by-step explanation:
Let the vertices of a rectangle be A(3, 1), B(3, 5), C(6, 5), and D(6, 1).
Using the formula for calculating distance between two points;
AB =√(5-1)²+(3-3)²
AB = √4²
AB = 4
BC = √(5-5)²+(6-3)²
BC = √3²
BC =>3
CD = √(1-5)²+(6-6)²
CD = √(-4)²
CD = √16
CD = 4
AD= √(1-1)²+(6-3)²
AD = √3²
AD = √9
AD =3
Perimeter of the rectangle = AB+BC+BD+AD
Perimeter of the rectangle = 4+3+4+3
Perimeter of the rectangle = 14units
Answer:
30 flights are expected to be late.
Step-by-step explanation:
Consider the provided information.
A Department of Transportation report about air travel found that nationwide, 76% of all flights are on time.
That means 100-76% = 24% of all flights are not on time.
125 randomly selected flights.
We need to find flights would you expect to be late.
Flight expect to be late E(x) = nq
Here n is 125 and the probability of late is 24 or q = 0.24
Thus substitute the respective values in the above formula.
Flight expect to be late E(x) = 125 × 0.24 = 30
Hence, the 30 flights are expected to be late.
2 f = 100%
1.6f = x
X=(1.6*100)/2=80%
The percent change from yesterday to today is 20℅
Dylan is wrong because if you multiply that ratio times 2 it would be 6/2 not 7/2.
