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bekas [8.4K]
3 years ago
10

Combinatorics problem. A web site was hit 300 times over a period of 15 days Show that over some period of 3 consecutive days, i

t was hit at least 60 times.
Mathematics
1 answer:
crimeas [40]3 years ago
6 0

Answer:

There is a period of 3 consecutive days in which the website was hits at least 60 times.

Step-by-step explanation:

A web site was hit 300 times over a period of 15 days.

To solve this question we will use the Pigeonhole Principle.

Here, n = 300 and k = 5

We will find \frac{n}{k} to get that there is a hole with at least \frac{300}{5}=60 pigeons.

Hence, there is a period of 3 consecutive days in which the website was hits at least 60 times.

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3

Step-by-step explanation:

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Two cards are selected from a standard deck of 52 playing cards. The first card is not replaced before the second card is select
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Answer:

Probability is:   $ \frac{\textbf{13}}{\textbf{51}} $

Step-by-step explanation:

From a deck of 52 cards there are 26 black cards. (Spades and Clubs).

Also, there are 26 red cards. (Hearts and Diamonds).

First, we determine the probability of drawing a black card.

P(drawing a black card) = $ \frac{number \hspace{1mm} of  \hspace{1mm} black  \hspace{1mm} cards}{total  \hspace{1mm} number  \hspace{1mm} of  \hspace{1mm} cards} $  $ = \frac{26}{52} = \frac{\textbf{1}}{\textbf{2}} $

Now, since we don't replace the drawn card, there are only 51 cards.

But the number of red cards is still 26,

∴ P(drawing a red card) = $ \frac{number  \hspace{1mm} of  \hspace{1mm} red  \hspace{1mm} cards}{total  \hspace{1mm} number  \hspace{1mm}of  \hspace{1mm} cards} $  $ = \frac{26}{51}  $

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3 years ago
Please answer! Give explanation to and follow steps to question. Tysm!!
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Step-by-step explanation:

33.414−33.36

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=0.054

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