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Mathematics: Post your doubts here!

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ok so you i am assuming you know that to find the integration of the volume you multiply the equation with pi and square it :D
so you get (pi) [(e^(-1/2)x)(sqrt(1+2x))^2 then you get pi e^-x (1+2x)
after you get that equation
you integrate it
so integartion of pi e^-x (1+2x) gives
oh and make sure you integrate by parts as there is no other way :p

 
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__8(µ-12)____20(µ)____32(µ+12)__

P(8 > X > 32) = 0.94
P(X < 8) = P(X > 32) = 0.03

P(Z < -12/σ) = 0.03
1 - φ(12/σ) = 0.03
φ(12/σ) = 0.97
12/σ = 1.881
σ = 6.38
THANK YOU SO MUCH!!
could you please explain why P(X < 8) = P(X > 32) = 0.03? :)
 
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questions about pure math 1
i do not have any ideas about this kinds of questions.
could u give me some help? thanks a lot!
 

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QUESTION abt statistics!
how abt the question 3?
HELP!pls!
 

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Dug

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THANK YOU SO MUCH!!
could you please explain why P(X < 8) = P(X > 32) = 0.03? :)
The distribution curve is symmetrical about its mean which is 20.
Total area under any normal distribution curve = 1


NormalDist.jpg


In the above sketch, if the yellow area = 0.94,
P(X < µ-2σ) = P(X > µ+2σ) = 0.3
 
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For Q.10.iii., it's the usage of the iteration formula simply. The root lies between 1.2 and 1.3, so let's assume it is 1.25. Now
Tn =T1= 1.25
Use the formula given to calculate further T(n+1) values
T2 = 1.2703
T3 = 1.2745
T4 = 1.2745
T5 = 1.2756
T6 = 1.2756
At this point, you see that the iteration has converged successfully. Hence, the value of the root is 1.276 (correct to 3 decimal places).
(If you're unsure about the concept then refer to this http://www.examsolutions.net/maths-...erical-methods/roots/iteration/tutorial-1.php)

For Q.10.iv., you just use the value found for t, that is, 1.276 and solve the equation. But before that, simplify the equation, especially the part in tan 2x.

:)
 
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For Q.10.iii., it's the usage of the iteration formula simply. The root lies between 1.2 and 1.3, so let's assume it is 1.25. Now
Tn =T1= 1.25
Use the formula given to calculate further T(n+1) values
T2 = 1.2703
T3 = 1.2745
T4 = 1.2745
T5 = 1.2756
T6 = 1.2756
At this point, you see that the iteration has converged successfully. Hence, the value of the root is 1.276 (correct to 3 decimal places).
(If you're unsure about the concept then refer to this http://www.examsolutions.net/maths-...erical-methods/roots/iteration/tutorial-1.php)

For Q.10.iv., you just use the value found for t, that is, 1.276 and solve the equation. But before that, simplify the equation, especially the part in tan 2x.

:)
thanks for the help :)
 
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