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2 years ago

8

What is the least number n with the property that, in every group of n people, there are at least three people who are all frien

ds

1 answer:

8_murik_8 [283]2 years ago

8 0

Answer:

hello your question is incomplete attached below is a the complete question

answer : n = 5

Step-by-step explanation:

lets consider N to be 5

To prove that the least number 'n' = 5

we will represent this information in a graph as vertex

Black edge = Friends

Blue edge = not Friends

From the attached diagram any vertex contains 0,1,2,3,4 black lines and 4,3,2,1,0 blue lines

attached below is an explanation related to the choice of n = 5

considering n = 5 is satisfied by the explanation given

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I need help with this

pochemuha

Answer:

$A(x) = \frac{ 4x + 800 }{x}$

Step-by-step explanation:

$C(x) = 4x + 800.... (given)$

$\because \: A(x) = \frac{C(x) }{x}$

$\therefore \: A(x) = \frac{ 4x + 800 }{x}$

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3 years ago

Do the opposite quantities combine to make 0? Mark Yes or No for each.

amid [387]

1. yes
2. no
3. no
4. yes

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1 year ago

If i have a 91% in a class and i got a 78% on a test, and the test is 20% of my grade, what will my grade in the class be once t

Serggg [28]

Answer:

98%

Step-by-step explanation:

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2 years ago

Read 2 more answers

The length of a rectangle is 5 inches less than 3 times the width. The perimeter is 70 inches. Find the length and the width.

Stolb23 [73]

Answer:

Length of the Rectangle = 10 inches

and Width = 25 inches

Step-by-step explanation:

Let the width of the rectangle = k inches

So, the Length of the rectangle = (3k - 5) inches

Perimeter = 70 inches

Now, Perimeter of the Rectangle = 2(Length + Width)

= 2 (k + (3k-5))

⇒ 2 (k + (3k-5)) = 70

or, 2(k + 3k -5) = 70 ⇒ 2(4k - 5) = 70

⇒ 8k - 10 = 70

or, 8k = 70+ 10 = 80

or, k = 80/8 = 10

So, the Length = 10 inches

Hence, Width = 3k - 5 = 3(10) - 5 = 30 - 5 = 25 inches

So, Length of the Rectangle = 10 inches

and Width = 25 inches

4 0

2 years ago

Consider the following hypothesis test. : : The following results are for two independent samples taken from two populations. Ex

I am Lyosha [343]

Answer:

$z = -1.53$ --- test statistic

$p = 0.1260$ --- p value

Conclusion: Fail to reject the null hypothesis.

Step-by-step explanation:

Given

$n_1 = 80$ $\bar x_1= 104$ $\sigma_1 = 8.4$

$n_2 = 70$ $\bar x_2 = 106$ $\sigma_2 = 7.6$

$H_o: \mu_1 - \mu_2 = 0$ --- Null hypothesis

$H_a: \mu_1 - \mu_2 \ne 0$ ---- Alternate hypothesis

$\alpha = 0.05$

Solving (a): The test statistic

This is calculated as:

$z = \frac{\bar x_1 - \bar x_2}{\sqrt{\frac{\sigma_1^2}{n_1} + \frac{\sigma_2^2}{n_2} }}$

So, we have:

$z = \frac{104 - 106}{\sqrt{\frac{8.4^2}{80} + \frac{7.6^2}{70} }}$

$z = \frac{104 - 106}{\sqrt{\frac{70.56}{80} + \frac{57.76}{70}}}$

$z = \frac{-2}{\sqrt{0.8820 + 0.8251}}$

$z = \frac{-2}{\sqrt{1.7071}}$

$z = \frac{-2}{1.3066}$

$z = -1.53$

Solving (b): The p value

This is calculated as:

$p = 2 * P(Z < z)$

So, we have:

$p = 2 * P(Z < -1.53)$

Look up the z probability in the z score table. So, the expression becomes

$p = 2 * 0.0630$

$p = 0.1260$

Solving (c): With $\alpha = 0.05$ , what is the conclusion based on the p value

We have:

$\alpha = 0.05$

In (b), we have:

$p = 0.1260$

By comparison:

$p > \alpha$

i.e.

$0.1260 > 0.05$

So, we fail to reject the null hypothesis.

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2 years ago