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g If every pair of people in a group are friends, or if every pair are strangers, the group is called uniform. Show the above re

Gennadij [26K]

Answer:

Every group of 6 people has at least two uniform 3-person groups.

Step-by-step explanation:

Denote the 6-people by 6-vertices and draw a blue edge between 2-edges. If the two persons representing the vertices are friends. Otherwise, draw a red edge. This gives rise to a colored graph K6, edges arecolored with either blue or red.

There can exist at most 36 mips. so, multicolor triangles can exist at most 36/2 = 18 multicolor triangles.

If there are 20-triangle in graph. Therefore, every graph of 6-people has at least two uniform 3-person groups.

8 0

3 years ago

Two pitchers, Jerry and Louis, want to find out who has the faster pitch when compared to each of their teams. Jerry has a speed

saul85 [17]

Answer:

Louis has faster pitch when compared to each of their teams.

Step-by-step explanation:

We have two pitchers which we need to compare to each of their teams.

To calculate this, we will approximate the distributions to a normal distribution, and calculate the z-score, to know what proportion of players of their team fall below their score.

For Jerry, he has a speed of 86 and his team has a mean speed of 93 and standard deviation of 3.

We can calculate the z-score for Jerry speed as:

$z=\dfrac{X-\mu}{\sigma}=\dfrac{86-93}{3}=\dfrac{-7}{3}= -2.333$

The proportion of players that are below Jerry speed is approximated by the standard normal distribution:

$p=\Phi(z$

For Louis, his speed is 84 and his team has a mean speed of 89 and standard deviation of 3.5.

We can calculate the z-score for Jerry speed as:

$z=\dfrac{X-\mu}{\sigma}=\dfrac{84-89}{3.5}=\dfrac{-5}{3.5}= -1.429$

The proportion of players that are below Louis speed is approximated by the standard normal distribution:

$p=\Phi(z$

As the proportion of players of Louis team that are below Louis speed is much bigger than the proportion of players of Jerry's team that are below Jerry speed, we can say that Louis has faster pitch when compared to each of their teams.

6 0

3 years ago

B²+4 when b =-4..........

zalisa [80]

Answer:

20

Step-by-step explanation:

-4 x -4 = 16

16 + 4 = 20

Hope this helps. Pls give brainliest.

8 0

2 years ago

Read 2 more answers

Harold has been hired as a salesman. He is paid a flat rate of $375 each week and earns an additional $14.25 commission for each

Andru [333]

The answer is
$c. \: y = 14.25h + 375$

5 0

3 years ago

- (x + 2)2 + (y - 9)2 = 1

telo118 [61]

Answer:

x+y=-5.75

Step-by-step explanation:

Ⓗⓘ ⓣⓗⓔⓡⓔ

Well, you would simply need to use the distributive property!

-(2)x-(2)2+(2)y-(2)9=1

-2x-4+2y-18=1

Then you need to add/subtract so the similar numbers are together.

-2x+2y-22=1

-2x+2y=23

x+2y=-11.5

x+y=-5.75

(っ◔◡◔)っ ♥ Hope this helped! Have a great day! :) ♥

Please, please give brainliest, it would be greatly appreciated, I only a few more before I advance, thanks!

8 0

3 years ago