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valentinak56 [21]
2 years ago
15

I run a book club with $n$ people, not including myself. every day, for $365$ days, i invite three members in the club to review

a book. what is the smallest positive integer $n$ so that i can avoid ever having the exact same group of three members over all $365$ days?
SAT
1 answer:
kirill [66]2 years ago
7 0

The smallest positive integer n so that you can avoid ever having the exact same group of three members over all 365 days is; 11

<h3>How to solve probability combination?</h3>

if we have n people and we want to do groups of 5, the total number of different combinations is:

ⁿC₅ = n!/((n - 5)!5!)

By using the Brute force method, we have;

If n = 5,

c = 5,

Thus;

C₅ = 5

If n = 6,

c = 6,

Thus;

C₅ = 6

If n = 7,

c = 7,

Thus

C₅ = 21

If n = 8,

c = 8,

Then;

C₅ = 56

Now, If n = 9,

C = 9!/((9 - 5)!5!)

C = 126

We want to find the smallest n such that c > 365. Thus, C = 126 is too small.

Let's try n = 11;

C = 11!/(6! * 5!) =  462

This is greater than 365 and so we need at least 11 members in the club.

Read more about Probability combination at; brainly.com/question/16830773

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For a laboratory assignment if the equipment is working the density function of the observed outcome
vivado [14]

Based the density function of the observed outcome, the probability P(x\leq \frac{1}{3} ) is equal to 0.1388.

<h3>What is a density function?</h3>

A density function can be defined as a type of function which is used to represent the density of a continuous random variable that lies within a specific range.

Given the following density function:

f(x)=\left \{ {{2(1-x),\;0 < x < 1} \atop {0,\; otherwise}} \right.

Next, we would calculate P(x\leq \frac{1}{3} );

P(x\leq \frac{1}{3} )=\int\limits^\frac{1}{3} _0 {f(x)} \, dx \\\\P(x\leq \frac{1}{3} )=2 \int\limits^\frac{1}{3} _0 {(1-x)} \, dx \\\\P(x\leq \frac{1}{3} )=2|x-\frac{x^2}{2} |\limits^\frac{1}{3} _0\\\\P(x\leq \frac{1}{3} )=2[\frac{1}{3} -\frac{1}{2} (\frac{1}{3})^2]\\\\P(x\leq \frac{1}{3} )=2[\frac{1}{3} -\frac{1}{18}]\\\\P(x\leq \frac{1}{3} )=0.1388

Read more on probability here: brainly.com/question/25870256

4 0
2 years ago
Which option identifies the type of scientific misconduct demonstrated in the following scenario?
Firlakuza [10]

Scientific misconducts are an infringement of the ethical codes. In the given scenario the negligence of the cited source in the data is misconduct.

<h3>What is cited source?</h3>

Cited sources are the references of the data taken from the other places and websites that are included in your content as an image, text, figures, statements, etc.  

The text or the data used from other sources must be cited by including the name of the authors from the authentic source followed by the author from the secondary reference.

Therefore, the negligence of the cited source is a type of scientific misconduct.

Learn more about scientific misconduct here:

brainly.com/question/21502129

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3 0
2 years ago
When 5 grams of kcl are dissolved in 50. Grams of water at 25°c, the resulting mixture can be described as
GaryK [48]

Answer:

3. Homogenous and unsaturated

Explanation:

Since your given information mentions 50 grams of solvent and 5 grams of solute, you must double each amount because "

Table G Solubility Curves" in the Regents Chemistry Reference Table notates curves based off of 100 g samples of water. Therefore, you must look for how soluble 10 grams of KCl is in 100 grams of water at 25 degrees Celsius.

As the picture shows, 10 grams of KCl is well below the curve for saturation, meaning that the solution is undersaturated.

As for the second part of the answer, we can tell that the solution is homogenous (of uniform composition) because there is no possibility of the salt, KCl, falling out of solution and making the mixture heterogenous (of mixed composition).

Putting all of those ideas together, we can tell that the answer to this question is:

3. Homogenous and unsaturated

8 0
2 years ago
Identify what part of speech the underlined word in the sentence is:
Elza [17]

Answer:

Which one is the underlined word?

Explanation:

I couldn't see the underlined word. Please rewrite the question in order for me to help you. (Tip: use Ctrl+U to write an underlined word.)

5 0
2 years ago
Trong giai đoạn biến động kinh tế tại Việt Nam năm 2008 , trong hoàn cảnh lạm phát tang cao , có ý kiến cho rằng số lượng ngân h
vodka [1.7K]

Answer:

...

Explanation:

i don't understand sorry:)

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