Six players compete in a tournament. Each player plays exactly two
games against every other player. In each game, the winning player
earns 2 points and the losing player earns 0 points. If the game results in
a draw (tie), each player earns 1 point. What is the minimum possible
number of points that a player needs to earn in order to guarantee that
he/she will be champion (i.e he/she has more points than every other
player)?

Answers

Answer 1

Step-by-step explanation:

6 players.

every player plays 2 games against every other player.

so, for each player there are 5 "other players" and everybody plays therefore 10 games.

the maximum number of points to get is 10×2 = 20 points.

the question is now not what is the minimum number of points a champion can have.

the question is rather what is the minimum number of points to guarantee the win of the championship no matter how the others played.

so, the study case scenario for the winner is to have only one real competitor for the title.

both players win every game against the other 4 players.

that is already 2×4×2 = 16 points.

and now it all depends on the 2 games against each other. to be sure, the winner needs at least 1 win and 1 tie in these 2 games. that are 3 more points.

so, to be absolutely sure, the champion needs to have at least 16+3 = 19 points.

Answer 2

The minimum possible number of points that a player needs to earn in order to guarantee that he/she will be champion 16+3 = 19 points.

What is unitary method?

The unitary method is a technique for solving a problem by first finding the value of a single unit, and then finding the necessary value by multiplying the single unit value.

Given:

Every player plays 2 games against every other player.

Then there will be 5 players left who will 10 games

So, the maximum number of points = 10*2 = 20

winning player earns 2 points

as, both players win every game against 4 players.

which gives = 2×4×2 = 16 points.

Now, in remaining two game the  winner needs at least 1 win and 1 tie

which needs 3 more points.

Hence, the minimum possible number of points that a player needs to earn in order to guarantee that he/she will be champion 16+3 = 19 points.

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Related Questions

HELP ME OUT PLEASE

Which equation could represent the relationship shown in the scatter plot?

A) y = -3x - 2

B) y = 9x -1/2

C) y = -3/4x + 10

D) y = -2/3x + 1​

Answers

Answer:

C) y = -3/4x + 10

Step-by-step explanation:

Slope is negative and its value (-3/4) can be determined from the line.

The line crosses the axis of ordinates at y = 10, when x = 0. If you substitute x for 0 in y = -3/4x + 10, y = 10. This corresponds to the line drawn in scatter plot.

Can somebody answer this with A ANSWER and not sum else whoever does I will give brainiest

Answers

Answer:

911,250

Step-by-step explanation:

4050 · 225 = 911,250

WILL GIVE BRAINLIEST
(x + 6) in
(3x + 2) in
12 in
The perimeter of this triangle is___in.

Answers

Answer:

28 inches

Step-by-step explanation:

To find the value of x you put them into an equation of: (x+6) = (3x+2), this would let you find that x=2, since 2+6 = 6+2. Once you've plugged that in all you need to do is add together all the sides, and since side A and side B are both 8 you do 12+16 to get the perimeter of 28 inches.

An experiment is conducted examining the effects of a new type of toothpaste on reducing cavities. Individuals in the treatment condition are given the new toothpaste; individuals in the control condition are given the standard toothpaste, but are told that they're receiving the new toothpaste. At the end of the experiment, the control group participants demonstrate a slightly higher decline in cavities. This is an example of a(n):____.
a. Wording bias.
b. Voluntary response bias.
c. Over-sampling effect.
d. Placebo effect.
d. Hawthorne effect.

Answers

The experimental effect highlighted by the scenario described would most likely be an example of placebo effect.

An observed change in the control group which are being given the placebo would have been triggered due to psychological expectation based on the information given. Hence, this is called the placebo effect.

The standard toothpaste was not suppose to cause decline in cavities, however, since the group have been told that they we given the new toothpaste which is said to reduce cavities, this could trigger a psychological change hence causing them to have higher cavity decline.

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Extra Points and Brainliest Award if answered!!!!
Gerald is testing to see if a possible rational root is an actual rational root of a polynomial. He uses synthetic division to determine the value of the remainder.
Which theorem is he using to test the value?

A. Linear Factorization Theorem

B. The Fundamental Theorem of Algebra

C. The Factor Theorem

D. The Remainder Theorem

Answers

Answer:

its C.

Step-by-step explanation:

please mark me brainlists

Gerald used the factor theorem to test the value. Therefore, option C is the correct answer.

Given that, Gerald is testing to see if a possible rational root is an actual rational root of a polynomial.

What is Synthetic Division?

Synthetic division is a method used to perform the division operation on polynomials when the divisor is a linear factor. One of the advantages of using this method over the traditional long method is that the synthetic division allows one to calculate without writing variables while performing the polynomial division, which also makes it an easier method in comparison to the long division.

The factor theorem states that if f(x) is a polynomial of degree n greater than or equal to 1, and 'a' is any real number, then (x - a) is a factor of f(x) if f(a) = 0. In other words, we can say that (x - a) is a factor of f(x) if f(a) = 0.

Therefore, option C is the correct answer.

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which of the following is a multiple of 2

A. 2461
B. 1000
C. 75
D. 847


the answer is B. 2*500

Answers

1000

This is the answer

Step-by-step explanation:

Because it has 0 at the last

and 0 is divisible by 2

The only number that is a multiple of 2 among the given options is B. 1000.

To determine which of the given numbers is a multiple of 2, we need to check if the number is divisible by 2 without leaving a remainder. In other words, if a number is even, it is divisible by 2.

Let's examine each option:

A. 2461: This number is not divisible by 2 since it ends in 1, which makes it an odd number.

B. 1000: This number is divisible by 2 because it ends in 0. Even numbers always end in 0, 2, 4, 6, or 8.

C. 75: This number is not divisible by 2 because it ends in 5, which is an odd number.

D. 847: This number is not divisible by 2 since it ends in 7, which makes it an odd number.

Therefore, the only number that is a multiple of 2 among the given options is B. 1000. It is divisible by 2 and is an even number.

Knowing whether a number is a multiple of 2 is important in various mathematical and computational operations, such as determining divisibility, performing parity checks, and optimizing algorithms that involve even numbers.

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What are the slope and y-intercept of this function? A. The slope is 4. The 9y-intercept is (0,3). B. The slope is -1/4.The y-intercept is (0,3). C. The slope is 1/4 .The y-intercept is (0,3). D. The slope is 4 .The y-intercept is (3, 0).​

Answers

Answer:

C

Step-by-step explanation:

8 times the sum of 2 and a number that is 32

Answers

Answer:

Step-by-step explanation:

d) 8(n+2) = 32

Which could be the first 4 terms of an arithmetic sequence ?

Answers

Awnser: B

Explain: if you line up and set up a graph with the numbers you will get b to be the awnser

(Can I get brainliest

Find fraction and a decimal between 0.66 and 3/4 .the fraction and decimal should be two different numbers

Answers

Answer:

Step-by-step explanation:

0.66=66/100       3/4=75/100

fraction between

67/100 68/100 69/100 70/100 71/100 72/100 73/100 74/100

               or                       or                   or                      or

             17/25                  7/10               18/25               37/50

decimal between

0.67  0.68 0.69 0.70 0.71 0.72 0.73 0.74

HOW DO I FIND QR

PLEASE HELP

Answers

Solution: For finding QR we need to apply Pythagoras Theorem

What is Pythagoras Theorem ?

ans : Pythagoras Theorem is the sum of square of two sides which is equal to the third side or the hypotenuse. This formula is valid oy incase of Right-Angled Traingle because one of three angles here is 90°

According to this law let's apply it in the diagram shown here.

(Hypotenuse)² = (Adjacent)² + (Opposite)²

(PR)² = (QR)² + (PQ)²

(5x - 2)² = (QR)² + (3x - 1)²

(QR)² = (5x - 2)² - (3x - 1)²

After factorising both of them we get

(QR)² = 25x² - 20x + 4 - (9x² - 6x + 1)

(QR)² = 25x² - 20x + 4 - 9x² + 6x - 1

(QR)² = 16x² - 14x + 3

QR = √(16x² - 14x + 3)

So, QR is √(16x² - 14x + 3)

The perimeter of a rectangle is 40 inches. If the width of the rectangle is 7 inches, what is the length?

Answers

Answer:

l=13in

Step-by-step explanation:

hope this helps

Answer:

13

Step-by-step explanation:

(40-7*2)/2=20-7=13

There are 13 books on a shelf. 7 of these books are new. The rest of them are used.

Answers

Answer:

6 of them are used books

Step-by-step explanation:

6+7=13. 7 new book and add 6 more book that will be used, it will equal out in addition = 13

Q5). If A={3,4} B= {2,3,4} C={3,4,5} then find (BxB) ∩ (CxC)​

Answers

Step-by-step explanation:

Given that

A = {3,4}

B = { 2,3,4}

C ={3,4,5}

BXB = {2,3,4}×{2,3,4}

⇛ {(2,2),(2,3),(2,4),(3,2),(3,3),(3,4),(4,2),(4,3),(4,4)}

and

CXC = {3,4,5}X{3,4,5}

⇛ {(3,,3),(3,4,)(3,5),(4,3),(4,4),(4,5),(5,3),(5,4),(5,5)}

Now

(BxB) n(CxC)

⇛ {(2,2),(2,3),(2,4),(3,2),(3,3),(3,4),(4,2),(4,3),(4,4)} n

{(3,,3),(3,4,)(3,5),(4,3),(4,4),(4,5),(5,3),(5,4),(5,5)}

⇛ {(3,3),(3,4),(4,3),(4,4,)}

Additional comment:

AxB is the Cartesian product of the two sets A and B on which (a,b) form a belongs to A and b belongs to B

AnB is the set of Common elements in both A and B

What is the equation of a line that is parallel to the line 2x + 5y = 10 and passes through the point (–5, 1)? Check all that apply. In addition to the Privileges and Immunities Clause, Article IV, Section 2 includes the

Answers

Hello!

-----------------------------------------------------------------------------------------------------------------

2x+5y=10

We want to turn this equation into y=mx+b form:

5y=-2x+10

Divide both sides by 5:

y=-2/5x+2

Now, the equation of the line parallel to it:

Remember, parallel lines have the same slope.

So these two lines have the same slope (-2/5)

Now, use Point-Slope form:

y-y1=m(x-x1)

y=1=-2/5(x-(-5)

y-1=-2/5(x+5)

y-1=-2/5x-2

y=-2/5x-2+1

y=-2/5-1

Hence, this is the required solution. I hope you find it helpful!

~SparklingFlower

--------------------------------------------------------------------------------------------------------------

The ratio of boys to girls in the class is 4 to 5. If there are 18 boys and girls in the
class, how many of each are there?

Answers

Answer:

8 boys and 10 girls

Step-by-step explanation:

If the ratio is 4:5,

4x2 + 5x2 equal 8+10 =

18.

4:5=8:10

Answer:

8 boys

10 girls

Step-by-step explanation:

4:5

8:10

8+10=18

The mean monthly rent of students at Oxnard University is $770 with a standard deviation of $239. John's rent is $1275. What is his standardized z-score?

Answers

(1275-770)/239 = 505/239

Help help help help hell

Answers

Answer:

m = N - f

Step-by-step explanation:

The original equation:

N = m + f

if we have to solve for m, then we have to isolate it, so subtract f from both the sides and that would be the answer.

Hope this helps!

Please look at picture for question.

Answers

Answer:

[tex]\frac{-1}{5}m -\frac{4}{5}[/tex]

Step-by-step explanation:

Combine the like terms (2/5) and (-3/5) m

This will give you -1/5

place the remainder of the equation.

if you like my answer, please mark me brainliest !! thanks !! <3

8.) The grocery store is having a sale on frozen vegetables. 4 bags are being sold for $11.96. At this rate, what is the cost of:
a) 1 bag
b) 9 bags

Answers

a) 1 bag is $2.99

b) 9 bags are $26.91.

$11.96/4 is 2.99

So one bag costs $2.99 and for any rest of number of bags we just multiply that number by 2.99!!

Hope this helps. :)

Answer:

a) $2.99

b) $26.91

Step-by-step explanation:

Since 4 bags cost $11.96, you can find the price of an individual bag by dividing $11.96 by 4.

Since

$11.96 / 4 = $2.99

One bag costs $2.99

To find the price of 9 bags, just multiply 2.99$ by 9:

$2.99 * 9 = $26.91

Help pls I have no clue what this is

Answers

Answer:

  b = 76°

Step-by-step explanation:

Angle JIK is the smaller acute angle in one of four congruent right triangles. Angle GHK is the larger acute angle in those triangles, marked as 60°. The sum of the acute angles in a right triangle is 90°, so you have ...

  60° +(b-46)° = 90°

  14° +b = 90° . . . . . . . simplify

  b = 76° . . . . . . . subtract 14°

What is the surface of this shape

Answers

Answer:

Find the area of all of the different shapes (2D)

and then add them up together to find the surface area.

3×2

6×2

6×2

5×3

6×3

1×3

1×4

1×4

4×3

Then you add them up together.

6+12+12+15+18+3+4+4+12=ANS.

The sum of two numbers is right one number is for less than the number find the numbers

Answers

Step-by-step explanation:

you made a lot of typos in the text.

I assume your meant the following :

the sum of two numbers is eight.

one number is four less than the other number.

the numbers : x, y

x + y = 8

x = y - 4

we use the second equation in the first :

y - 4 + y = 8

2y - 4 = 8

2y = 12

y = 6

x = y - 4 = 6 - 4 = 2

Strawberries cost $3.00 per pound. For each question
a.
How many pounds of strawberries can you buy for $1.00?
b.
How many pounds of strawberries can you buy for $11.0

Answers

Answer:

A. 1/3 pound

B. 11/3 or 3.666666667

Step-by-step explanation:

:)

helppppppppp
what is -12x<60

Answers

Answer:

x > -5

Step-by-step explanation:

-12x < 60

To solve the equation for x, we want x to be by itself on one side.  Let's start by dividing both sides by -12:

-12x/-12 < 60/-12

When dividing or multiplying by a negative number, we have to turn around the inequality sign, so now we have:

x > 60/-12

And 60/-12 = -5, so:

x > -5

10. If pointer 1 is spun and then pointer 2 is spun, determine the probability of landing on a color other than red on both spins. The probability is (Type an integer or a simplified fraction.)​

Answers

Answer:

Answer below

Step-by-step explanation:

1/8 is correct

in pic

_________________________________________

(Hope this helps can I pls have brainlist (crown)☺️)

Please take a look at the picture

Answers

Answer:

A and B

Step-by-step explanation:

They both have the same numbers and at least one of the given numbers is negative.

Hope this helps :)

pls answer fast

Write an equation of the line that passes through (0, -5) and is perpendicular to the line y =-4/5x

Answers

Answer:

I am pretty sure its y={5}/{4}x-5

Step-by-step explanation:

Complete the table for the provided graph.

Answers

Answers on following order: 5, 2, 4, 2, 8, 0

PLEASE HELP>>>>>
25 POINTS...................

Answers

Answer:

y = 2/3x - 9

Step-by-step explanation:

note the slope, then note the y intecept, then plug it into the equation y = mx+b

Answer:

So its d

Step-by-step explanation:

Y intercept is 6, and the slope is 3/2. hope i help! And if it isn't that, its c

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