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Gnoma [55]
3 years ago
11

A stable roommate problem with 4 students a, b, c, d is defined as follows. Each student ranks the other three in strict order o

f preference. A matching is defined as the separation of the students into two disjoint pairs. A matching is stable if no two separated students prefer each other to their current roommates. Does a stable matching always exist
Mathematics
1 answer:
Fantom [35]3 years ago
4 0

Answer:

Each student ranks the other three in strict order of preference.

Step-by-step explanation:

When  4 different students from different background and personality lives together, there seems to be a room for the problems and stability between them. When the problem of stability arises, it would be as a result of the other 3 students ranking each other in strict order of preference regarding to their relationship and association.

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The table shows the relationship between two variables. which selection describes the relationship?
Liula [17]

Answer:

The relationship between two variables is decreasing and linear.

Step-by-step explanation:

From the given table it is notice that the function passing through the points (1,5), (2,-1), (3,-7) and (4,-13).

Slope of the function between first two points (1,5) and (2,-1) is

m_1=\frac{y_2-y_1}{x_2-x_1}=\frac{-1-5}{2-1}=-6

Slope of the function between last two points (3,-7) and (4,-13) is

m_2=\frac{y_2-y_1}{x_2-x_1}=\frac{-13+7}{4-3}=-6

The rate of change or slope of the function is constant.

From the given table it is noticed that the values of y decreased by 6 units as the values of x increased by 1 units.

Since the rate of change constant and negative, therefore the relationship between two variables is decreasing and linear.

4 0
3 years ago
Read 2 more answers
ROUND 314.1593 TO THE NEAREST TENTH
Aloiza [94]

Answer:

314.2

Step-by-step explanation:

<u>Step 1:  Round to the nearest tenth </u>

314.1<u>5</u>93

Since the hundredths place is above 5, round up the tenth place.

314.1<u>5</u>93

314.2

Answer: 314.2

5 0
3 years ago
Read 2 more answers
You are getting a line-up ready for a school kickball game. You have 7 girls and 7 boys. The rules state each child must kick th
Effectus [21]

Answer:

50,803,200 ways

Step-by-step explanation:

In this situation, since you should alternate girl-boy or boy-girl, the line-up can either start with a boy or a girl kicking which would yield one of the two following patterns:

BGBGBGBGBGBGBG or GBGBGBGBGBGBGB.

For each of those patterns, there are 7! ways to arrange all boys and 7! ways to arrange all girls. The number of ways that a line-up can be made for one round of kicking is:

n=2*7!*7!\\n=2*(7*6*5*4*3*2)^2\\n=50,803,200\ ways

There are 50,803,200 ways to set the line-up.

8 0
3 years ago
Please help. We have this for homework.
Aleksandr-060686 [28]

Answer:

Hey Jeffrey i got to ur school...

lol

Step-by-step explanation:

C

8 0
3 years ago
Work out the area of this quarter circle of radius 8cm, Give you answer in terms of pi
oee [108]

Answer:

The area of the quarter circle is 16\pi\ cm^{2}

Step-by-step explanation:

we know that

The area of a quarter circle is equal to

A=\frac{1}{4}\pi r^{2}

we have

r=8\ cm

substitute the value

A=\frac{1}{4}\pi (8)^{2}

A=16\pi\ cm^{2}

3 0
3 years ago
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