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Mathematics: Post your doubts here!

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Tha
P(X = 0) = 1/10 (given)
remaining integers are 7 from the set and the probability is to be divided equally among them
so the probability of one of the remaining 7 integers = 1 - (1/10) divided by 7 = (9/10) / 7 = 9/70

i) P(X<2) = P(X = - 2) + P(X = - 1) + P(X = 0) + P(X=1)
= 9/70 + 9/70 + 1/10 + 9/70 = 0.486

ii) the probability distribution table looks like

x - 2 - 1 0 1 2 3 4 5
p(X=x) 9/70 9/70 1/10 9/70 9/70 9/70 9/70 9/70

now calculate the variance using the formula
E(X^2) - ((E(X))^2

iii) we are going from the negative of a positive number to its twice. so let's check the possibility of a number existing in negative which is - 2 or - 1
so now first possibility
let a be 1 so probabilities should be added from - 1 to 2(1) = 2

P(X=-1) + P(X=0) + P(X=1) + P(X=2)
= 9/70 + 1/10 + 9/70 + 9/70 = 17/35 (shown)[
 
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T
P(X = 0) = 1/10 (given)
remaining integers are 7 from the set and the probability is to be divided equally among them
so the probability of one of the remaining 7 integers = 1 - (1/10) divided by 7 = (9/10) / 7 = 9/70

i) P(X<2) = P(X = - 2) + P(X = - 1) + P(X = 0) + P(X=1)
= 9/70 + 9/70 + 1/10 + 9/70 = 0.486

ii) the probability distribution table looks like

x - 2 - 1 0 1 2 3 4 5
p(X=x) 9/70 9/70 1/10 9/70 9/70 9/70 9/70 9/70

now calculate the variance using the formula
E(X^2) - ((E(X))^2

iii) we are going from the negative of a positive number to its twice. so let's check the possibility of a number existing in negative which is - 2 or - 1
so now first possibility
let a be 1 so probabilities should be added from - 1 to 2(1) = 2

P(X=-1) + P(X=0) + P(X=1) + P(X=2)
= 9/70 + 1/10 + 9/70 + 9/70 = 17/35 (shown)
hanks aloot can u help me in ths too http://papers.xtremepapers.com/CIE/...S Level/Mathematics (9709)/9709_s12_qp_63.pdf Q2 ii)
 
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PLEASE! I need help, Is there is a list of laws and rules for Pure 1 to memorize so I can solve in exams because I'm screwed?! :cry::cry::cry::cry::cry::cry::cry::cry::cry::cry::cry::cry:
 
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Hello everyone , Tomorrow is my Mechanics mocks paper (M1) , and I am quite tensed :oops:
I got everything as a concept rather then the application of Integration !!!!!
I really need help with , why u use integration ?

In this paper " http://adf.ly/i6ULe " go to Question no:6 part iii and tell me what happened there ._________."
I am very confused with that solution , I totally don't understand the point of that question's iii part. Please Answer asap because after 7 Hours from now , It's my paper. :eek:
 
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1.png
NOTE: The tension in the string is equal to T. I am just naming them T1 and T2 so that you can understand them easily, otherwise they are equal.

Resolving forces vertically, there are two forces acting downwards, one is the weight of the ring 8.5N and the other is the component of T2, T2 cos x

One force acting upward which is T1 cos (90-x) which is equal to T1 sin x

thus 8.5 + T2 cosx = T1 sin x

Resolving forces horizontally, there are two forces acting to the left, that are T2 sin x and T1 sin(90-x) which equals T1 cos x.
The other force acting to the right is 15.5 N
Thus
T2 sin x + T1 cosx = 15.5

Now, just put in T for both strings.

Now solve these simultaneously.

T sin x + T cosx = 15.5
T cosx - T sin x = -8.5

2Tcosx = 7
T cos x = 3.5
Similary,
T sin x = 12

Now, rearrange the first equation
x = 3.5/cos x
Put it in the other equation

T sin * 3.5/cos x = 12
3.5T sin x/cos x = 12
sin/ cos = tan
3.5 T tan x = 12

Find the value of x
 
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