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dlinn [17]
3 years ago
10

There are 5 girls and 5 boys in a chess club. The club holds a round-robin tournament in which every player plays against every

other player exactly once.
In how many games does a girl play against a boy?(answer:25)

In how many games does a girl play against another girl?(answer:10)

What fraction of the games are boy-versus-boy? Enter your answer as a fraction in simplified form.(answer:2/9)

If Anita is one of the club members, what fraction of all games at the tournament does Anita play in? Enter your answer as a fraction in simplified form.(answer: I have no idea)
(this single question worth 64 points)
Mathematics
2 answers:
Bess [88]3 years ago
7 0
<span>1. In how many games does a girl play against a boy?
A: Because there are 5 girls, each will play against 5 boys, so in total is 5*5 = 25 times.

2. </span><span>In how many games does a girl play against another girl?
A: In this case, we only need to calculate how many girl pairs are there among these 5 girls, and it become a combination problem which can solved by </span>C^{2}_{5}=\frac{5*4}{2*1}=10

3.The fraction of games "B vs B" should be the number of "B vs B" (which is 10) divide the total number of the games "B vs B" & "G vs G" & "B vs G" (which is 10+10+25=45, see the analysis in 1.A and 2.A), so the fraction should be 10/45=2/9

4.One person will have to play against 9 people at the tournament, and the total number of the games is 45, so the fraction should be 9/45 = 1/5
Temka [501]3 years ago
7 0

Answer:

OMG THANK YOU THIS WAS SO HELPFUL!!!!!!!

Step-by-step explanation:

READ ABOVE!!!!!!!!!!

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Leno4ka [110]

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The chance that the second person has the same birthday is 1/365. To find the probability that both people have this birthday, we have to multiply their separate probabilities. (365/365) * (1/365) = 1/365, or about 0.27%

4 0
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Percent of change from 125 to 75
grandymaker [24]
I think it would be 50% let’s hope
3 0
3 years ago
Do u guys mind helping me??
Rasek [7]

Answer:

I think the constant is 2.

Step-by-step explanation:

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5 0
3 years ago
Lydia uses 15 grams of protein powder to make a 22-ounce shake. She decides to make shakes for the week and plans to make 198 ou
max2010maxim [7]

We have been given that Lydia uses 15 grams of protein powder to make a 22-ounce shake. She decides to make shakes for the week and plans to make 198 ounces. We are asked to find the grams of protein powder Lydia will use.

We will use proportions to solve our given problem.

\frac{\text{Amount of protein powder}}{\text{Amount of shake}}=\frac{15\text{grams}}{22\text{ ounces}}

\frac{\text{Amount of protein powder}}{\text{198 ounces}}=\frac{15\text{grams}}{22\text{ ounces}}

\frac{\text{Amount of protein powder}}{\text{198 ounces}}\times \text{198 ounces}=\frac{15\text{grams}}{22\text{ ounces}}\times \text{198 ounces}

\text{Amount of protein powder}=15\text{grams}\times 9

\text{Amount of protein powder}=135\text{ grams}

Therefore, Lydia will use 135 grams of protein powder for the entire week.

3 0
4 years ago
What is the answer too X2-3X+5=0
ivolga24 [154]
What is the solution (not answer) to (not too) x^2 - 3x + 5 = 0?
This is a quadratic equation.  Two possible approches to solving it are
1) quadratic formula, and
2) completing the square.

Let's use the quadratic formula:

a=1, b= -3, c = 5

Then 
       -(-3) plus or minus sqrt( [-3]^2 - 4(1)(5) )
x = --------------------------------------------------------
                                      2
        3 plus or minus sqrt(9-20)        3 plus or minus i*sqrt(11)
   = ------------------------------------- = ------------------------------------
                              2

Please note:  These are complex roots, due to the " i ".
8 0
3 years ago
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