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bezimeni [28]
3 years ago
7

Six people are sitting around a circular table, and each person has either blue eyes or green eyes. Let x be the number of peopl

e sitting next to at least one blue-eyed person, and let y be the number of people sitting next to at least one green-eyed person. How many possible ordered pairs (x,y) are there? (For example, (x,y) = (6,0) if all six people have blue eyes, since all six people are sitting next to a blue-eyed person, and zero people are sitting next to a green-eyed person.)

Mathematics
1 answer:
Slav-nsk [51]3 years ago
3 0

Answer:

10

Step-by-step explanation:

Given that:

Six people are sitting around a circular table

and each person has either blue or green eyes.

So; we are told to represent x as the number of people sitting next to at least one blue-eyed person

and y be the number of people sitting next to at least one green-eyed person.

The objective is to find how many possible ordered pairs (x,y) are there?

The ordered pairs (x,y) i.e ( blue , green)   are : ( (6, 0), (6, 2), (6, 4), (5, 3), (5, 5), (3, 3) ).

The above proves the ordered pairs for  at least as blue as green.

Now; to determine the ordered pairs for as many green as blue, we will require to go the opposite direction by reversing the values; so we can arrive at a new values of  10 possible outcomes which are as follows:

(6, 0), (6, 2), (6, 4), (5, 3), (5, 5), (3, 3), (3, 5), (4, 6), (2, 6), (0, 6)

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H(x)=4x-2 find h(-9)
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Answer:

34

Step-by-step explanation:

H(x) = 4x-2

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H(-9) = 36 -2

H(-9) = 34

7 0
3 years ago
Calculate the force created from an object with a mass of 1250 grams and an acceleration of 3 m/s^2
abruzzese [7]

The force created by the object is 3.75 Newton.

Given

Mass of the object (m)  = 1250 grams

Convert 1250 grams to kilograms by dividing it by 1000.

Mass (m) = 1.25 kg

Acceleration of the body (a) = 3 m/s^{2}

From Newton's second law we know F= m *a

By Substituting in the above equation we get

Force = 1.25 x 3

Force = 3.75 kg/m /s^{2}

It can also be written as force = 3.75 N

Hence Force created by the body is 3.75 Newton.

To know more about Force refer

brainly.com/question/13191643?referrer=searchResults

8 0
1 year ago
Find the area of this semi-circle with radius, r = 66cm. Give your answer rounded to 1 DP.​
Darya [45]

Answer:

414.857143

Step-by-step explanation:

r=66

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=414.857143

4 0
2 years ago
Which statement is true ? <br> I will give brainliest to the person who answers correctly.
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5 0
3 years ago
If you have driven 225 miles in 3 hours, then how long would it take you to drive 300 miles?
bekas [8.4K]

Answer:How many miles can a car be driven in 3 hours at 50 miles per hour? Under normal circumstances and the generally assumed conditions, the answer is of course (3 hours) * (50 miles / hour) = 150 miles.

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However, traveling at 30 MPH for 1 mile (1 lap) takes 2 minutes, which means that your average will never be 60MPH.approximately 0.6818 miles per hour.

7 0
3 years ago
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