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pashok25 [27]
3 years ago
12

There are 4 teams in a soccer tournament. Each team plays each of the other teams exactly once. In each match, the winner receiv

es 3 points and the loser receives 0 points. In the case of a tie, both teams receive 1 point. After all the matches have been played, which of the following total number of points is it impossible for any team to have received?
Mathematics
1 answer:
Liula [17]3 years ago
3 0

Answer:

8 points

Step-by-step explanation:

Given that there are 4 teams and Each team plays each of the other teams exactly once, then each team plays 3 matches. The possible points after 3 matches are:

0: 3 lost

1: 2 lost, 1 tied

2: 2 tied, 1 lost

3: 3 tied

4: 1 won, 1 lost, 1 tied

5: 1 won, 2 tied

6: 2 won, 1 lost

7: 2 won, 1 tied

9: 3 won

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3 years ago
A different species of cockroach has weights that are approximately Normally distributed with a mean of 50 grams. After measurin
Ratling [72]

Answer:

The standard deviation of weight for this species of cockroaches is 4.62.

Step-by-step explanation:

Given : A different species of cockroach has weights that are approximately Normally distributed with a mean of 50 grams. After measuring the weights of many of these cockroaches, a lab assistant reports that 14% of the cockroaches weigh more than 55 grams.

To find : What is the approximate standard deviation of weight for this species of cockroaches?

Solution :

We have given,

Mean \mu=50

The sample mean x=55

A lab assistant reports that 14% of the cockroaches weigh more than 55 grams.

i.e. P(X>55)=14%=0.14

The total probability needs to sum up to 1,

P(X\leq 55)=1-P(X>55)

P(X\leq 55)=1-0.14

P(X\leq 55)=0.86

The z-score value of 0.86 using z-score table is z=1.08.

Applying z-score formula,

z=\frac{x-\mu}{\sigma}

Where, \sigma is standard deviation

Substitute the values,

z=\frac{x-\mu}{\sigma}

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The standard deviation of weight for this species of cockroaches is 4.62.

4 0
3 years ago
1)
VikaD [51]

Answer:

a. Point S

b. Line segment PT and Line segment ST

c. PSQRU

d. Lines PR and SQ

e. Plane C and Plane QRS

Step-by-step explanation:

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