Answer:

Step-by-step explanation:
From the Venn diagram, n(AUB)=31
The given probabilities in the option are calculated below:

The only correct option is the probability of B which is 
Answer:
A
Step-by-step explanation:
7+7+3= 17
Divide them both by 6
So it should be : 3/4
Answer:
Slope m = -5/8
Step-by-step explanation:
5x + 8y = 16
Making y as subject of formula
8y = -5x + 16
Dividing each term by 8
8y/8 = -5x/8 + 16/8
y = -5x/8 + 2
Comparing with y = mx + c
Where m = slope and c the y intercept
Slope m = -5/8
Given:


To find:
The quadrant in which
lie.
Solution:
Quadrant concept:
In Quadrant I, all trigonometric ratios are positive.
In Quadrant II, only
and
are positive.
In Quadrant III, only
and
are positive.
In Quadrant IV, only
and
are positive.
We have,


Here,
is negative and
is also negative. It is possible, if
lies in the Quadrant IV.
Therefore, the correct option is D.