Solution :
Given :
The events are as follows :
P : Set of all the people
S : Set of people those who are single
C : Set of people having children
W : Set of women
M : Set of men
a). Now set of married women having children is given by :

And set of single women who do not have any children : (S -C) - M
Thus the set of women those who are either married and have children or they are single and they do not have any children is represented by :

b). Set of Married men : 
Set of Married men : 
Set of all possible married who are heterosexual couples, that is, all possible pairings of the married men and the married women is represented by :

c). The number of all the possible married heterosexual couples will be represented by the cardinality of the above set, which represents the number of the elements in the set.
Thus the number of the married heterosexual couples is given by :
![$n[((P-S) \cap M) \cap ((P-S) \cap W)]$](https://tex.z-dn.net/?f=%24n%5B%28%28P-S%29%20%5Ccap%20M%29%20%5Ccap%20%28%28P-S%29%20%5Ccap%20W%29%5D%24)
Answer:
2
Step-by-step explanation:
Given expression:
y^2 - 5y - 4
y = 6
Substitute y = 6 into the expression
y^2 - 5y - 4
6^2 - 5(6) - 4
(6*6) - (5*6) - 4
36 - 30 - 4
36 - 34
2
The value of the expression y^2 - 5y - 4 is 2 when y = 6
Answer:
$3000
Step-by-step explanation:
Assuming that the court didn't charge any legal fee to Jed and Jed also the lawyer for this case didn't charge him anything, Jed had personally planned to get $15,000. Subtracting the amount initially paid, $10,000, Jed still needs $5,000 from Alison. Assuming a fair judgement was made, giving Jed 2,000 and subtracting this from his expectation of $5,000 we remain with $3,000. Therefore, we can conclude that the $3,000 is the loss he should record out of this deal.
Answer:
2 bags of topsoil.
Step-by-step explanation:
The attached figure shows a flower bed.
One bag of topsoil covers 15 square meters.
We need to find how many bags of topsoil does Tom need to cover his flower bed.
The area of the flower bed is :
Let he has to cover x bags of topsoil. So,
x = Area of flower bed/Area of 1 bag of top soil
x = 30/15
x = 2
Hence, he will need 2 bags of topsoil to cover his flower bed.
Answer:
Conjugate radicals.
Step-by-step explanation:
The two roots a+sqrb and a-sqr b are called conjugate radicals.