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.

Learn more about unitary method here:

https://brainly.com/question/28276953

#SPJ4


Related Questions

Natalie completed 56 sit-ups. Natalie completed 4 times as many sit-ups as Matthew.

How many sit-ups did Matthew complete?

Answers

Mathew completed 14 sit-ups.

Which of the following statements is incorrect?
a. (-3x)3 = -27x3
b. xo xx-4 = x2
c. x + x-3 = x4
d. 3-2 = -9

Answers

Answer:

The last one is incorrect

ed says a decimal grid shows 10 tenths monica says a decimal grid shows 100 hundredths who is correct explain PLEASE HELP I NEED TBIS DONE IN 30 minutes

Answers

Answer:

will i need a picture but its probably 10 count by 5s

Step-by-step explanation:

I would really appreciate help with this. I will give brainliest


Can any of you tell me the types of frequencies in math and explain how to find each one? It would be really really helpful if you answered:)

Answers

Answer:

Grouped Frequenct Distribution

UnGrouped Frequency Distribution

Step-by-step explanation:

Figures or numbers collected for some definite purpose is called data. Frequency is the value in numbers that shows how often a particular item occurs in the given data set. There are two types of frequency table - Grouped Frequency Distribution and Ungrouped Frequency Distribution. Data can be shown using graphs like histograms, bar graphs, frequency polygons, and so on.

(5.8 times 10^-15) - (4.4 times 10^-14)

Answers

Answer:

−3.82×10^-14

Step-by-step explanation:

Move the decimal so there is one non-zero digit to the left of the decimal point. The number of decimal places you move will be the exponent on the  

10. If the decimal is being moved to the right, the exponent will be negative. If the decimal is being moved to the left, the exponent will be positive.

−3.82×10^-14

What fraction of the rectangle is shaded? PLS PLS PLS help ASAP! Ty

Answers

9514 1404 393

Answer:

  1/3

Step-by-step explanation:

The area of the rectangle is ...

  A = lw = (21)(12)

The area of the shaded triangle is ...

  A = 1/2bh = 1/2(14)(12) = (7)(12)

Then the fraction of the rectangle that is shaded is ...

  (shaded area)/(rectangle area) = (7)(12)/((21)(12)) = 7/21 = 1/3

1/3 of the rectangle is shaded.

what is 2+2=
Answer to get points

Answers

Answer:

4

Step-by-step explanation:

2+2=4

Is (1,5) a solution to this system of equations?
y=

3x+7
y=3x+2

Answers

Answer:

no, there is no solution

Step-by-step explanation:

put it in desmos, but the slopes are the same, so they are parallel and never touch. So, no solution.


Divide £945 in the ratio 2:5

Answers

The answer is 675. 2270. 657

13. Tell whether the sequence is arithmetic. If it is, what is the common difference? (1 point)
-5.-2,2,7..

A. yes: 3
B. yes: 4
C. yes: 3
D. no

Answers

Answer:

I think the answer is c

Charlie and Daniella each began a fitness programme. On day one, they both ran 500m. On each subsequent day, Charlie ran 100m more than the previous day whereas Daniella increased her distance by 2% of the distance run on the previous day.

(a) Calculate how far Charlie ran on day 20 of his fitness programme. (1) Daniella ran on day 20 of her fitness programme. On day n of the fitness programmes, Daniella runs more than Charlie for the first time.

b) Find the value of n

Answers

Answer:

a) 2400m on the 20th day for Charlie.

1) 728.41m of 20th day for Daniella.

Didn't find n, sorry.

Charlie ran 2400m on day 20 of his fitness program and Daniella ran 728m on day 20 of her fitness program.

It is given that Charlie and Daniella on day one both ran 500m on each subsequent day.

Charlie ran 100m more than the previous day.

Daniella increased her distance by 2% of the distance run on the previous day.

It is required to calculate how far Charlie and Daniella ran on day 20 and the value of n.

What is a sequence?

It is defined as the systematic way of representing the data that follows a certain rule of arithmetic.

Charlie ran 500m on the first day:

[tex]\rm a_1 = 500[/tex]

[tex]\rm a_2 =600[/tex] ( because charlie ran 100m more than the previous day)

It is an arithmetic progression in which the difference between two consecutive terms:

d = 600 - 500 ⇒ 100

and [tex]\rm a_n = a+d(n-1)[/tex]

[tex]\rm a_2_0 = 500+100(20-1)\\\\\rm a_2_0 = 2400m[/tex]( ∵ n = 20 )

Daniella ran 500m on the first day:

[tex]\rm b_1 = 500[/tex]

[tex]\rm b_2 = 500+ 500\times2 \%[/tex]  (because Daniella increased her distance by 2% of the distance run on the previous day)

We can write [tex]\rm n^t^h[/tex] terms:

[tex]\rm b_n= 500(1+2\%)^n^-^1[/tex]

[tex]\rm b_2_0= 500(1+2\%)^2^0^-^1[/tex]

[tex]\rm b_2_0= 500(1+0.02)^1^9\\\\\rm b_2_0 = 500\times 1.02^1^9\\\\\rm b_2_0 = 500\times1.456 \Rightarrow 728.40 \approx 728 m[/tex]

[tex]\rm b_n > a_n[/tex]  (given in the question)

[tex]\rm500(1+2\%)^n^-^1 > 500+100(n-1) \ \ or \\\\\rm500(1+2\%)^n^-^1 > 100n+400[/tex]

The above expression is not true for all the values of 'n' ie. 'n' can not be determined.

Thus, Charlie ran 2400m on day 20 of his fitness program and Daniella ran 728m on day 20 of her fitness programme.

Learn more about the sequence here:

brainly.com/question/21961097

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:

What is the solution to x + 12 = 25?
A. x=13
B. x=12
C. x=37
D. x=24​

Answers

Answer:

A . x=13 is the solution of this question.

Answer:

x=3

Step-by-step explanation:

subtract 12 from both sides of the equation

x+12=25

x+12-12=25-12

then subtract the numbers

x=13

What's
9/10 + (-3) in simplest form​

Answers

Reduce the expression, if possible, by cancelling the common factors.

Exact Form: [tex] \:- \frac{3}{10} \\ [/tex]

Decimal form[tex] \: \:- 0.3[/tex]

which ordered pair would be plotted in quadrant 3

Answers

Answer:

(-5,-9)

Step-by-step explanation:

HELPPPPPPPPPPPPPPPPPPPPPPPPPPPPPP

Answers

Answer:

Fertilizer puts nitrogen into the soil, so using fertilizer puts more nitrogen into the carbon cycle.

When you use fertilizer, its because a certain plant you are planting uses all the nitrogen in the soil, so it won't grow next time. Too much fertilizer, though, would burn up your plant (not literally). Some plants put their own nitrogen into the soil. I can't think of one off the top of my head, but I believe potatoes do. Anyways, this is where crop rotation came into play.

Things like corn take a lot of nitrogen, so the next time you had to plant whatever plant potatoes, which again may be wrong, in order to get nitrogen for the corn to grow next season. Today we have fertilizer, so we can give them nitrogen while they grow, instead of putting in other plants, taking more time.

So really, it doesn't do much, because your plant takes all the nitrogen that the Fertilizer adds.

Answer:

People have been converting atmospheric nitrogen into nitrogen fertilizers and then applying the fertilizers to plants in to grow more crops. This has previously been quite effective, allowing individuals to farm on previously unproductive lands, and provide adequate food for expanding populations of people. Unfortunately, fertilizers are frequently overused, which can lead to issues.

Nitrogen from fertilizers excretes into soils, typically promoting the growth of weeds rather than native vegetation. Nitrogen then washes into streams, resulting in a nutrient overload, a phenomenon known as eutrophication.

Eutrophication causes aquatic weeds to proliferate excessively in freshwater lakes. These aquatic weeds  occasionally occupy entire lakes, streams, or rivers. Green algae cloud the water, and gooey algal slime covers the shallow rocks. 

When nitrogen-rich waters flow down into the ocean, they worsen the situation. High nitrogen concentrations in the Mississippi River Delta have generated a 'dead zone' where the water flows into the Gulf of Mexico. This has occurred every summer for over 30 years. In 2001, this dead zone, where oxygen levels are too low for species to thrive, encompassed over 8000 square miles of water. It occurs when nitrogen in the water enables algae to quickly grow out of control.

Step-by-step explanation:

Great article to look at for more information -

https://www.nytimes.com/2017/07/27/climate/nitrogen-fertilizers-climate-change-pollution-waterways-global-warming.html

my friend asked me for help and i forgot how to do this.

Answers

Answer:

Wings-3

Dollars-10

try this

The weights of the fish in a certain lake are normally distributed with a mean of 20 lb and a standard deviation of 9. If 9 fish are randomly selected, what is the probability that the mean weight will be between 17.6 and 23.6 lb

Answers

Step-by-step explanation:

mean of 20 lb and a standard deviation of 9. If 9 fish are randomly selected,

what is the probability that the mean weight will be between 17.6 and 23.6

Ib? Write your answer as a decimal rounded to 4 places

convert this fraction to a decimal 1/200​

Answers

Answer:

0.005

Step-by-step explanation:

the sum of 2 times a number and 5 is equal to 7

Answers

Answer:

n = 1

Step-by-step explanation:

"The sum of" is addition

"2 times a number" is 2n

"and 5" is + 5

equals 7 is =7

2n + 5 = 7

     - 5   - 5

2n = 2

2n/2 = 2/2

n = 1

Abdul has an original recipe for a drink with apple, orange and pineaplle juice.He makes new fruit drinks by making different quantities of the three juices. the table shows the amount of the juice in the recipe and in each juice

Answers

Answer:

Step-by-step explanation:

I am sorry but please give detailed question

a simple random sample of 60 items resulted in a sample mean of 80.

Answers

Answer:

(c) The effect of a larger sample size on the margin of error is that the margin of error will increase.

Step-by-step explanation:

Eve is going to buy 70 pens from either shop A or shop B.

Shop A : pack of 10 pens for £ 2.30
Shop B : pack of 5 for £ 1.60 buy 1 pack and get 1 half price .

What is the difference in cost for all 70 pens between the two shops ?

Answers

Answer:  0.70

Step-by-step explanation: Shop A: 2.20*7=15.40

Shop B: 7 packs with full price and seven with half

So, 1.40*7=9.80 and 9.80/2=4.90 is price of other seven

Take sum 9.80+4.90=14.70

So the difference between the two shops is

15.40-14.70=0.70 hope i helped have a good afternoon

Find the surface area of the following cylinder. Round your answer to the nearest square centimeter.

Answers

Answer:

V=2(pi)(r)(h)+2(pi)(r^2)

v=2(pi)(10/2)(0.8)+2(pi)(10/2)^2

TSA=159.512

TSA=160

Step-by-step explanation:

Each side of a square is increasing at a rate of 6 cm/s. At what rate is the area of the square increasing when the area of the square is 36 cm2?

Answers

I think the answer might be 6 but I’m not really 100% sure

slope=1/3 y intercept=-1

Answers

Answer:

3y=1 i hope it helps!

Step-by-step explanation:

Determine the value of x. Round to the tenths place. 30/4 65/x​

Answers

wow that's really hard... :) greetings from South Korea My name is Naoyoung nei The abbreviation of Nanda is Naoyoung nei And the name DA is the name of my father and mother

The function f(x) = In(x) has a domain of all real numbers greater than zero and a range of all real numbers. The
inverse of this function is f^-1(x) = e^x

Which conclusion can be drawn by comparing the two functions?

The domain of f^-1(x) is all real numbers and the range is all real numbers.

The domain of f^-1(x) is all real numbers greater than 0 and the range is all real numbers.


The domain of f^-1(x) is all real numbers and the range is all real numbers greater than 0.


The domain of f^-1(x) is all real numbers greater than 0 and the range is all real numbers greater than 0.

Answers

Answer:

The domain of f–1(x) is all real numbers and the range is all real numbers greater than 0.

Step-by-step explanation:

please help..........

THANKS!

Answers

The answer would be 5/4

Can I have the answers to EVERY question?

Answers

Hey where are the questions?

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