• We need your support!

    We are currently struggling to cover the operational costs of Xtremepapers, as a result we might have to shut this website down. Please donate if we have helped you and help make a difference in other students' lives!
    Click here to Donate Now (View Announcement)

Mathematics: Post your doubts here!

Messages
1,318
Reaction score
1,374
Points
173
upload_2016-2-3_14-31-2.png
upload_2016-2-3_14-32-19.png
Ok so when a variable is added the new mean is [E(x-a)/n] + a (assume E means summation sign :p)
So then I had read in the text book that the mean changes on adding any variable but the standard deviation is unchanged
So if the mean changes, how can we still equate them both together??
 
Messages
340
Reaction score
339
Points
73
View attachment 59090
View attachment 59092
Ok so when a variable is added the new mean is [E(x-a)/n] + a (assume E means summation sign :p)
So then I had read in the text book that the mean changes on adding any variable but the standard deviation is unchanged
So if the mean changes, how can we still equate them both together??
They equated the mean after adding 100 which balanced the 100 which was subtracted earlier
 
Messages
1,318
Reaction score
1,374
Points
173
upload_2016-2-3_15-6-9.png

upload_2016-2-3_15-6-42.png
Part iv
So I got 9/16 and 13/16 but then the answer comes out as 9/13 .... does 0 not count as positive?? But on the RHS in the mark scheme they accept those fractions which include the zero ... so will 9/13 be right or no??
 
Messages
1,394
Reaction score
12,123
Points
523
View attachment 59093

View attachment 59094
Part iv
So I got 9/16 and 13/16 but then the answer comes out as 9/13 .... does 0 not count as positive?? But on the RHS in the mark scheme they accept those fractions which include the zero ... so will 9/13 be right or no??
I don't think so it'll be right. Actually 0 is neither counted as positive nor negative. So if you'll exclude zero, which you might have included, I think you'll get the right answer.
 
Messages
1,318
Reaction score
1,374
Points
173
I don't think so it'll be right. Actually 0 is neither counted as positive nor negative. So if you'll exclude zero, which you might have included, I think you'll get the right answer.
Yep excluding 0 givers the right answer but since the ms says accept any of the fractions which includes the 9/13 i think they'll give 1 mark right?
 
Messages
1,394
Reaction score
12,123
Points
523
Messages
124
Reaction score
30
Points
38
Capture.JPG For 5) i) , in the markscheme Capture_2.JPG the highlighted part is my doubt. Shouldn't it be just "h" ?
 
Messages
1,318
Reaction score
1,374
Points
173
W13-62
upload_2016-2-4_17-53-56.png
upload_2016-2-4_17-54-29.png
S13-61
upload_2016-2-4_17-33-25.png
upload_2016-2-4_17-33-59.png

Ok so I know how to solve these questions but then I want to know why different methods are used and why the other method doesn't give the correct answer?
Like in the letter one they have done total possible combinations - if the vowels were together
Now if I apply this same logic to the second question of the families I get a different answer :/
like : total combination = 14!
all adults are together = 6! * 9!
so then 14! - (6!*9!) doesn't give the right answer...
why not??
Even with the top one if i use the method used in the second question doing [(7!/2!2!)*(8P4/3!)] also gives the wrong answer :/
Anum96 Rizwan Javed
 
Last edited:
Messages
1,394
Reaction score
12,123
Points
523
W13-62
View attachment 59125
View attachment 59126
S13-61
View attachment 59122
View attachment 59123

Ok so I know how to solve these questions but then I want to know why different methods are used and why the other method doesn't give the correct answer?
Like in the letter one they have done total possible combinations - if the vowels were together
Now if I apply this same logic to the second question of the families I get a different answer :/
like : total combination = 14!
all adults are together = 6! * 9!
so then 14! - (6!*9!) doesn't give the right answer...
why not??
Even with the top one if i use the method used in the second question doing [(7!/2!2!)*(8P4/3!)] also gives the wrong answer :/
Anum96 Rizwan Javed

Actually you're missing some of the possible orders. You calculated that all the adults go together. But it is also possible that only 2 adults go together, and the rest do not and so on. So infact you're missing some of the possible orders.

Consider that all the adults are represented by * and children by 'x'. In order to have no 2 adults together, there must be atleast 1 children in between any two adults.

* x * x * x * x * x * x * x * x *

^ Let this represent the possible positions the adults or children can take.

There are 6 adults, so you've to select 6 ' * 's from the nine shown above where adults are to be placed.

9C6 * 6! <--- The number of different ways in which this can be done.

Now arrange the 8 children in the possible 8 arrangements shown by 'x' s. This would be 8!.

Now combine them to find the total possible orders:

9C6 * 6! * 8! = 2438553600

I hope you understood. :)
 
Messages
1,318
Reaction score
1,374
Points
173
Actually you're missing some of the possible orders. You calculated that all the adults go together. But it is also possible that only 2 adults go together, and the rest do not and so on. So infact you're missing some of the possible orders.

Consider that all the adults are represented by * and children by 'x'. In order to have no 2 adults together, there must be atleast 1 children in between any two adults.

* x * x * x * x * x * x * x * x *

^ Let this represent the possible positions the adults or children can take.

There are 6 adults, so you've to select 6 ' * 's from the nine shown above where adults are to be placed.

9C6 * 6! <--- The number of different ways in which this can be done.

Now arrange the 8 children in the possible 8 arrangements shown by 'x' s. This would be 8!.

Now combine them to find the total possible orders:

9C6 * 6! * 8! = 2438553600

I hope you understood. :)
Oh ok yes I see! I didn't realize that there would be different orders with not all but some of the adults together :p
Thanks a lot! :D
 
Top