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on 4 out of 7 days the website crossed threshold request. So, the four highest values should be those :

810, 820, 823,830.

So , the maximum threshold value can be 809


The minimum request numbers are:
780, 790, 795. So the minimum threshold value can be 796

So if 812 request came the maximum rejects could be 812-796=16
and minimum could be 812-809 =3
so, 3 & 16

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A certain website has a request threshold (RT), defined as the maximum number of requests it can handle in a single day. If the number of requests on a given day exceeds the RT, the site processes only the first RT requests. The remaining requests are not addressed and are permanently discarded.

During one week, from Monday to Sunday, the number of requests received on each day was as follows:


810, 790, 830, 823, 780, 795, 820

On exactly 4 out of the 7 days that week, there was at least one request that was not addressed.

On the following Monday, the site received 812 requests.

Based on this information, select the Minimum and the Maximum number of requests that could have been not addressed on that Monday. Make only two selections, one in each column.
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A certain website has a request threshold (RT), defined as the maximum number of requests it can handle in a single day. If the number of requests on a given day exceeds the RT, the site processes only the first RT requests. The remaining requests are not addressed and are permanently discarded.

During one week, from Monday to Sunday, the number of requests received on each day was as follows:

810, 790, 830, 823, 780, 795, 820

On exactly 4 out of the 7 days that week, there was at least one request that was not addressed.

On the following Monday, the site received 812 requests.

Based on this information, select the Minimum and the Maximum number of requests that could have been not addressed on that Monday. Make only two selections, one in each column.
From the statement there's is 4/7 not addressed and on Monday there were extra two, hence minimum is 2 maximum is 3
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[ltr]The website's request threshold (RT) must be between 796 and 809. This is because exactly four of the week's request days (810, 820, 823, 830) exceeded RT, while the other three (780, 790, 795) did not. For the following Monday with 812 requests, the minimum unaddressed requests occur with the maximum RT (812-809=3), and the maximum unaddressed requests occur with the minimum RT (812-796=16).[/ltr]

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A certain website has a request threshold (RT), defined as the maximum number of requests it can handle in a single day. If the number of requests on a given day exceeds the RT, the site processes only the first RT requests. The remaining requests are not addressed and are permanently discarded.

During one week, from Monday to Sunday, the number of requests received on each day was as follows:


810, 790, 830, 823, 780, 795, 820

On exactly 4 out of the 7 days that week, there was at least one request that was not addressed.

On the following Monday, the site received 812 requests.

Based on this information, select the Minimum and the Maximum number of requests that could have been not addressed on that Monday. Make only two selections, one in each column.
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During one week, from Monday to Sunday, the number of requests received on each day was as follows:

810, 790, 830, 823, 780, 795, 820

On exactly 4 out of the 7 days that week, there was at least one request that was not addressed.
3 days where all requests were addressed = least 3 of given = 780,790,795

On the following Monday, the site received 812 requests.

Minimum number of requests that could have been not addressed on that Monday= 812- maximum value that is less than higher value than 795 (i.e. 810) = 812-809=3

Maximum number of requests that could have been not addressed on that Monday = 812- (minimum value that is more than or equal to 795 (i.e. 796)= 812-795=17

Minimum =3 and Maximum=17
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A certain website has a request threshold (RT), defined as the maximum number of requests it can handle in a single day. If the number of requests on a given day exceeds the RT, the site processes only the first RT requests. The remaining requests are not addressed and are permanently discarded.

During one week, from Monday to Sunday, the number of requests received on each day was as follows:


810, 790, 830, 823, 780, 795, 820

On exactly 4 out of the 7 days that week, there was at least one request that was not addressed.

Number of RT in increasing order = 780, 790, 795, 810, 820, 823, 830

Since on exactly 4 out of the 7 days that week, there was at least one request that was not addressed, request threshold (RT) lies between 795 to 809.

On the following Monday, the site received 812 requests.

Case 1: minimum RT = 795
Minimum requests addressed = 795
Maximum requests that could not have been addressed on Monday = 812- 795 = 17

Case 2: maximum RT = 809
Maximum requests addressed = 809
Minimum requests that could not have been addressed on Monday = 812- 809 = 3

Based on this information, select the Minimum and the Maximum number of requests that could have been not addressed on that Monday. Make only two selections, one in each column.

MinimumMaximum
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We know that on exactly 4 out of 7 days, some requests were not addressed (meaning the requests exceeded the RT). Let's sort the daily requests again:
* 830 (Wednesday)
* 823 (Thursday)
* 820 (Sunday)
* 810 (Monday)
* 795 (Saturday)
* 790 (Tuesday)
* 780 (Friday)
Since exactly 4 days had requests not addressed, the RT must be greater than the 5th highest number (795) and less than or equal to the 4th highest number (810).
So: 795 < RT ≤ 810
Since RT must be an integer, the possible values are 796, 797, 798, 799, 800, .., 810.
For the following Monday with 812 requests:
Minimum not addressed: If RT = 810, then 812 - 810 = 2 requests would not be addressed. This is the minimum possible number.
Maximum not addressed: If RT = 796, then 812 - 796 = 16 requests would not be addressed. This is the maximum possible number:
The answer is minimum 2 and maximum 16.
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number of requests in week received
810, 790, 830, 823, 780, 795, 820
sort them in ascending order
780, 790,795, 810, 820, 830

On exactly 4 out of the 7 days that week, there was at least one request that was not addressed.

from lowest three values we can know that RT must be 795
for rest of other days the values must be less than next value i.e. 810 ; 809 is possible

threshold is between 795<=RT <= 809

value on following Monday is 812
maximum number not addressed 812-795 = 17
minimum number not addressed 812-8090 = 3

3,17

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A certain website has a request threshold (RT), defined as the maximum number of requests it can handle in a single day. If the number of requests on a given day exceeds the RT, the site processes only the first RT requests. The remaining requests are not addressed and are permanently discarded.

During one week, from Monday to Sunday, the number of requests received on each day was as follows:


810, 790, 830, 823, 780, 795, 820

On exactly 4 out of the 7 days that week, there was at least one request that was not addressed.

On the following Monday, the site received 812 requests.

Based on this information, select the Minimum and the Maximum number of requests that could have been not addressed on that Monday. Make only two selections, one in each column.
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During one week, from Monday to Sunday, the number of requests received on each day was as follows:
810, 790, 830, 823, 780, 795, 820
On exactly 4 out of the 7 days that week, there was at least one request that was not addressed.
So it would be for the 4 max values : 810 , 830 , 823 , 820
On the following Monday, the site received 812 requests.

Minimum requests that could have been not addressed on that Monday :
This will happen when threshold is such that on exactly 4 out of the 7 days that week, there was at least one request that was not addressed.
So threshold is at 809. Only then can 810 have min 1 request that was not addressed.
So for 812 requests, we have 812-809 = 3 requests that could have been not addressed.

Maximum requests that could have been not addressed on that Monday :
This will happen when threshold is such that out of the other 3 out of 7, the max one would be the threshold value.
i.e. Threshold is at 795.
So for 812 requests, we have 812-795 = 17 requests that could have been not addressed.

Answer : 3 , 17
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So we Know that
if request > RT then RT are processed and request - RT are not processed
if requests <= RT then all are processed.
given request for each day of week
810, 790, 830, 823, 780, 795, 820
lets sort this
790,795,810,820,823,830

We also know that exactly 4 out of the 7 days that week, there was at least one request that was not addressed.
So if we see for three days all request were addressed
So max RT we can get is 809
and Min RT we can get is 795

795<=RT<=809

Now on monday we got 812 requests.
if RT = 809 then 812-809 = 3 Minimum request that are not addressed
if RT = 795 then 812-795 = 17 Maximum request that are no addressed.
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First we need to find the range of the RT.

So since 4 days were above RT,those number of requests will be 810,820,823,830 in order.
So 810 is still above RT ,so the maximum RT could have have is 809.

Now, for the minimum, the next lowest number before 810 is 795 from the list.So 795 is under RT.So the lowest RT can take is 795.Subtract 809-795 =14(but remember to add 1 to get the actual count).So its 15 requests(request number 810 is added here)

But there are 812 requests on Monday,so add 2 to 15=17
The maximum requests that failed on that particular Monday could be 17.

Next to find the minimum

We know 810 failed.So 809 could be RT. So the minimum failed request would be requests 810,811,812. So that's 3 requests

So the minimum requests are 3,and max requests are 17.


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A certain website has a request threshold (RT), defined as the maximum number of requests it can handle in a single day. If the number of requests on a given day exceeds the RT, the site processes only the first RT requests. The remaining requests are not addressed and are permanently discarded.

During one week, from Monday to Sunday, the number of requests received on each day was as follows:


810, 790, 830, 823, 780, 795, 820

On exactly 4 out of the 7 days that week, there was at least one request that was not addressed.

On the following Monday, the site received 812 requests.

Based on this information, select the Minimum and the Maximum number of requests that could have been not addressed on that Monday. Make only two selections, one in each column.
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Request process: 780,790,795
Requests denied: 810,820,823,830

if threshold counter was set to 794, then it can process 795th request, leaving 812-795=17
if threshold counter was set to 808, then it can process 809th request, leaving 812-809=3

min 3, max 17
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The solution requires a two-step process: first, determining the possible range for the website's Request Threshold (RT), and second, using that range to calculate the potential outcomes for the following Monday. The key is the condition that on exactly 4 of the 7 days in the first week, requests were unaddressed, meaning on 4 days the daily requests exceeded RT.

First, the daily request numbers from the first week are sorted: 780, 790, 795, 810, 820, 823, 830. For the threshold to be exceeded on exactly four days, the RT value must be greater than or equal to the third value (795) but less than the fourth value (810). This establishes the valid range for the integer RT as 795 <= RT <= 809.

On the following Monday, 812 requests were received. The number of unaddressed requests is calculated as 812 - RT. To find the minimum number of unaddressed requests, the maximum possible value for RT must be used: 812 - 809 = 3. To find the maximum number of unaddressed requests, the minimum possible value for RT must be used: 812 - 795 = 17.

The minimum number of unaddressed requests is 3, and the maximum is 17.
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So the requests in asc order = 780, 790, 795, 810, 820, 823, 830

On exactly 4 out of the 7 days that week, there was at least one request that was not addressed, i.e. 780, 790, 795, 810, 820, 823, 830

This suggests 795<= RT <810 OR 795<= RT <=809

On the following Monday, the site received 812 requests.

Considering max as 809, min rejected req = 812-809=3
Considering min as 795, min rejected req = 812-795=17

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A certain website has a request threshold (RT), defined as the maximum number of requests it can handle in a single day. If the number of requests on a given day exceeds the RT, the site processes only the first RT requests. The remaining requests are not addressed and are permanently discarded.

During one week, from Monday to Sunday, the number of requests received on each day was as follows:


810, 790, 830, 823, 780, 795, 820

On exactly 4 out of the 7 days that week, there was at least one request that was not addressed.

On the following Monday, the site received 812 requests.

Based on this information, select the Minimum and the Maximum number of requests that could have been not addressed on that Monday. Make only two selections, one in each column.
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A certain website has a request threshold (RT), defined as the maximum number of requests it can handle in a single day. If the number of requests on a given day exceeds the RT, the site processes only the first RT requests. The remaining requests are not addressed and are permanently discarded.

During one week, from Monday to Sunday, the number of requests received on each day was as follows:


810, 790, 830, 823, 780, 795, 820

On exactly 4 out of the 7 days that week, there was at least one request that was not addressed.

On the following Monday, the site received 812 requests.

Based on this information, select the Minimum and the Maximum number of requests that could have been not addressed on that Monday. Make only two selections, one in each column.
given the set for RTs from Monday to Sunday as 810, 790, 830, 823, 780, 795, 820

When arranged in ascending order we get: 780, 790, 795, 810, 820, 823, 830
Therefore 4 of the last option will have at-least one of the RTs not fulfilled.

So minimum number of RTs not filled on that Monday = 812 - 810 = 2
and maximum number of RTs not filled on that Monday = 812 - 795(as this is the for sure number of RTs fulfilled according to the conditions in the question).
Hence the answers.
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The problem is to determine how many requests will be canceled on Monday because they exceed the RT.

This week, exactly 4 exceeded the RT.

So I select the 4 largest: 810 - 830 - 823 - 820.
The next value, therefore our minimum (or equal to the RT), is 795 or is the last canceled value: 810.
Comparing Monday's value: 812, I find the difference between 795 and 812 = 17, but also between 810 and 812 = 2.

Our minimum is therefore 2 and our maximum is 17.
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Writing the 7 number of requests in ascending order gives us

780, 790, 795, 810, 820, 823, 830

It's clear that the threshold lies between 795 and 809 inclusive.

If it's 795, the maximum requests that could not have been attended on Monday will be 812 - 795 = 17

If it's 809, the maximum requests that could not have been attended on Monday will be 812 - 809 = 3
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The website’s request threshold (RT) must be such that exactly 4 out of the 7 days had more requests than the RT, causing some requests to be lost. Looking at the week’s data, the four highest request days are 830, 823, 820, and 810, so the RT must be at least greater than 795 (the highest request on a day with no losses) but less than 810 (since 810 requests caused losses). This means the RT is between 796 and 809. On the following Monday, with 812 requests, if the RT is at the highest possible value, 809, then 3 requests would be lost, and if the RT is at the lowest possible value, 796, then 16 requests would be lost. Therefore, the minimum number of requests not addressed on Monday is 3 and the maximum is 16.
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