Do You Have Any Maths Question? Kindly Bring It On

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Nairaland Forum  |  General Discussion  |  Education (Moderator: Phemour)  |  Do You Have Any Maths Question? Kindly Bring It On
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RichyBlacK (m)
Re: Do You Have Any Maths Question? Kindly Bring It On
« #128 on: September 28, 2007, 12:41 AM »

Quote from: Eyohimself on September 27, 2007, 12:57 AM
   A certain characteristic in a large population has a distribution that is symmetric about the mean m. If 68 percent of the distribution lies within one standard deviation d of the mean, what percent of the distribution is less than m + d ?
A. 16%B. 32%C. 48%D. 84%E. 92%


The explanation for this is much easier with a diagram.

Let G(z) = P(x is less than z).
Since the distribution is symmetric about the mean m, then G(m) = P(x < m) = 50%.

The statement "68 percent of the distribution lies within one standard deviation d of the mean" means that:
G(m+d) - G(m-d) = 68% = P(m-d<x<m+d)

So, we are looking for G(m+d)                                           which is also equal to P(x < m+d)

But P(x < m+d) = P(x < m) + P(m < x < m+d)
                         = P(x < m) + 0.5*[P(m-d < x < m+d)]       due to symmetric nature of distribution about the mean m
                         = G(m) + 0.5*(G(m+d) - G(m-d))               just substituting
                         = 50% + 0.5(68%)
                         = 50% + 34%
                         = 84% (Answer = D)

NOTE: there are several other ways of doing this.
LiquidMind (m)
Re: Do You Have Any Maths Question? Kindly Bring It On
« #129 on: September 28, 2007, 01:07 AM »



Nice maths tread  Smiley
ADint (m)
Re: Do You Have Any Maths Question? Kindly Bring It On
« #130 on: September 29, 2007, 10:28 AM »

Quote from: Eyohimself on September 26, 2007, 07:50 PM
He must sell it for :


 0.11*170270 + 0.055*170270 + 170270 = $198 364.55 ( $198 365--to the nearest $)

( Assuming they are making the gains on the cost price).

 

Eyohimself,

The agent must sell for $199,395(nearest $). 
Only Ann's gain is made on the initial cost price.
To the Agent the current cost price is 170270 + (0.11*170270) = $188,999.70
So, selling price is 188,999.70 + (0.055*188,99.70) = $199,394.68 ($199,395)
Eyohimself
Re: Do You Have Any Maths Question? Kindly Bring It On
« #131 on: September 29, 2007, 03:31 PM »

Quote from: ADint on September 29, 2007, 10:28 AM
Eyohimself,

The agent must sell for $199,395(nearest $). 
Only Ann's gain is made on the initial cost price.
To the Agent the current cost price is 170270 + (0.11*170270) = $188,999.70
So, selling price is 188,999.70 + (0.055*188,99.70) = $199,394.68 ($199,395)

  Thanks for noting that. I made my calculations based on the assumption that they both had

  gains on the initial cost price which I think is quite possible. Your contribution is welcomed.

 You based your  solution on the assumption that the Agent made the gain on Ann's selling price which

 from common logic, is more probable. Thanks for the insight.

 I thought the other way round.
edusegzy (m)
Re: Do You Have Any Maths Question? Kindly Bring It On
« #132 on: October 01, 2007, 06:04 PM »

hi every one,

i'm happy to see o much going on on this thread.boy i ' have a lot of catching up to do.
eyohimself how is your prep.i'm sure you are in top shape.
i'm brewing some stuff.
Richyblacky
you are such a blessing on this thread.
edusegzy (m)
Re: Do You Have Any Maths Question? Kindly Bring It On
« #133 on: October 02, 2007, 02:41 PM »

integrating  sec x

sec x=

sec x (sec x +tan x)/(sec x +tan x)=sec2 x+sec x tan x/(sec x +tan x)

integerate:

ln(sec x +tan x)
jay bee (m)
Re: Do You Have Any Maths Question? Kindly Bring It On
« #134 on: November 08, 2007, 03:30 PM »

There are 2 rooms. One has 3 light switches and the second one has three light bulbs. U can only enter the one with the light bulbs once. How do u deteremine which of the three light switches corresponds to three of the light bulbs in the second room
RichyBlacK (m)
Re: Do You Have Any Maths Question? Kindly Bring It On
« #135 on: November 10, 2007, 04:12 AM »

Quote from: jay bee on November 08, 2007, 03:30 PM
There are 2 rooms. One has 3 light switches and the second one has three light bulbs. You can only enter the one with the light bulbs once. How do u deteremine which of the three light switches corresponds to three of the light bulbs in the second room

1. Go into room with switches

2. Do the following:
i. Put the first switch ON, and leave it ON
ii. Put the second switch ON, leave it ON for a while, and then switch it OFF
iii. Ignore the third switch

3. Go into room with bulbs:
i. The bulb that is ON is controlled by the first switch
ii. The one that is OFF, but WARM is controlled by the second switch
iii. The one that is OFF, but COLD is controlled by the third switch.

NB: Some rather obvious assumptions were made.
Ficco (m)
Re: Do You Have Any Maths Question? Kindly Bring It On
« #136 on: November 16, 2007, 12:35 PM »

This forum and questions are too hot for me ,am logging out. Huh Huh Angry Lips sealed
RichyBlacK (m)
Re: Do You Have Any Maths Question? Kindly Bring It On
« #137 on: January 03, 2008, 10:26 PM »

Eyohimself,

Howz life? How did the GRE go?
opi-ororo (m)
Re: Do You Have Any Maths Question? Kindly Bring It On
« #138 on: January 05, 2008, 09:44 PM »

I love these guys.I which i also could be a mathematics guru as these guys up here.It's Cooooooooooooool! Smiley Smiley
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