1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
tensa zangetsu [6.8K]
3 years ago
9

Let us denote by P the set of all people, by S the set of people who are single, by C the set of people who have children, by W

the set of women and by M the set of men. For each question below, write down an expression that represents the set being described. Write exactly one expression for each question.
a. Women who are either married with children, or single and do not have children.
b. All possible married heterosexual couples, i.e., all possible pairings of married men and married women.
c. The number of all possible married heterosexual couples.
Mathematics
1 answer:
natita [175]3 years ago
8 0

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 :

$\left( (P-S)-M \right) \cap C $

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 :

$\left( (S-C)-M\right) \cup \left( ((P-S)-M) \cap C \right) $

b). Set of Married men : $\left( (P-S) \cap M$

   Set of Married men : $\left( (P-S) \cap W$

   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 :

   $((P-S) \cap M) \cap ((P-S) \cap W )$

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 :

$n[((P-S) \cap M) \cap ((P-S) \cap W)]$

You might be interested in
Please help with geometry
Margarita [4]

Step-by-step explanation:

a) gradient= y2-y1/x2-x1

gradient of AB:

gradient=-4-1/2-3

=-5/-1

=5

gradient of BC:

=-5+4/7-2

=-1/5

b) as the priduct of both gradient is -1 ,both lines are perpendicular.

c) as we have seen lines are perpendicular so it is a right angled triangle.

8 0
2 years ago
For f(x) = -4x + 2, find f(1).
sammy [17]

9514 1404 393

Answer:

  f(1) = -2

Step-by-step explanation:

Put 1 where x is and do the arithmetic.

  f(1) = -4·1 +2

  f(1) = -4 +2

  f(1) = -2

7 0
2 years ago
A triangle is rotated 90° about the origin. Which rule describes the transformation?
enyata [817]

Answer:

(x,y) -> (-y,x), second option.

Step-by-step explanation:

Rotation of 90 degrees about the origin:

The rule for a rotation of a point (x,y) 90 degrees about the origin is given by:

(x,y) -> (-y,x)

This is that the question asks, and so, this is the answer, which is the second option.

4 0
3 years ago
Find the perimeter of each figure?
Levart [38]
11- 59.1. Got the Answer for #11, but for #12 you lowkey should just use any type of calculator for that shape
8 0
3 years ago
Read 2 more answers
2x + 6 = 2x - 2<br> ??????????
svp [43]

2x-6=2x+2

We move all terms to the left:

2x-6-(2x+2)=0

We get rid of parentheses

2x-2x-2-6=0

We add all the numbers together, and all the variables

-8!=0

There is no solution for this equation

6 0
2 years ago
Other questions:
  • 4x-5y; x=4 and y= 10
    15·1 answer
  • packs of pickled peppers were reduced to 20% off their original price of $3.50. Today there’s an additional 10% off the reduced
    10·2 answers
  • What is (x+5)+2x^2=2x+1
    14·2 answers
  • PLS ANSWER FAST!!!! YOU'LL BE A GRADE SAVER!! Which of the following is the equation for the graph shown? graph of an ellipse on
    15·1 answer
  • Simplify the equality 2y&gt;4
    5·2 answers
  • Please help with this math work.
    8·1 answer
  • MATHEMATICS helpp<br> please giving brainliest
    12·1 answer
  • HELP I WILL GIVE BRAINLIST AND EXTRA POINTS!!! Johnny ate 55 cookies his friend made 72 cookies after Johnny 855 cookies. His fr
    15·2 answers
  • Angle ABC has point E on ray BA and point D on ray BC. Points E and D are equidistant from point B. To copy angle ABC, which of
    14·1 answer
  • the length of the longer leg of a right triangle is 3 ft more than three times the length of the shorter leg. the length of the
    15·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!