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IGCSE MATHS Doubts

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mdwael:
hey I got a really hard confusing question in summer 2000 paper its page 7 (a) part were you have to draw an accuarate histogram. it says "use a scale of 2cm to represent 5 grams on the horizontal axis, and an area of 1 square centimeter to represent 5 eggs" how do I do that? can someone upload a picture of the histogram if he/she has done it before? Thanks for helping :)

Fastal:

--- Quote from: mdwael on May 18, 2010, 03:00:22 pm ---hey I got a really hard confusing question in summer 2000 paper its page 7 (a) part were you have to draw an accuarate histogram. it says "use a scale of 2cm to represent 5 grams on the horizontal axis, and an area of 1 square centimeter to represent 5 eggs" how do I do that? can someone upload a picture of the histogram if he/she has done it before? Thanks for helping :)

--- End quote ---

woah i hhave the same question

Ghost Of Highbury:
ok for this question , its best to use simple unitary method.

first get this clear...how the x-axis will be arranged..

5 grams = 2 cm

1) 35<=m<40 = 5 grams = 2cm

2) 40<=m<50 = 10grams = 4cm

3) 50<=m<60 = 10 grams = 4cm

4) 60<=m<75 = 15 grams = 6cm

5) 75<=m<80 = 5 grams = 2cm

now..1cm^2 = 5 eggs.

for the 1st set i.e 35<=m<40...say the height of the rectangle = h

thus, the area of the rectangle = the frequency = 2cm*h cm = 2h cm^2

1cm^2 = 5 eggs
2h cm^2 = 5*2h = 10h eggs. (area)

now the area = frequency

10h eggs = 20 (f)

h = 2cm

thus, for the first rectangle, the height is 2cm, and the width - 2cm (5 grams class width)

do the same for the rest..

2) class width = 10 grams = 4cm

   height = h

   area = 4hcm^2

   1cm^2 = 5 eggs
   4h cm^2 = 20h

   20h = frequency = 60

    h= 3cm

3) class width = 10grams = 4cm

     area = 4hcm^2

     1cm^2 = 5 eggs

      4h cm^2 = 20h eggs
   
    20h = 200

    h = 10cm

4) cw = 15 grams = 6cm

    area = 6hcm^2

    6h*5 = 30h eggs

   30h = 180

   h = 6cm

5) cw = 5 grams = 2cm

    area = 2hcm^2

    2h*5 = 10h eggs

10h = 40

h = 4cm.



Ghost Of Highbury:

--- Quote from: Adzel on May 18, 2010, 02:56:34 pm ---O/N 2004 04 Q3 part (b) and (c) + explaination.....please  :)

--- End quote ---

b) Water out from the pipe =  1.6cm^2 * 14 cm/sec = 22.4 cm^3 /sec
Volume of the tank - 552920.3071 cm^3

22.4cm^3 = 1 second
552920.3071 = 52920.3071/22.4 = 24683.94228 seconds = 6 hours 51 minutes

c)  1m = 100cm
     1m^2 = 10000cm^2
     70m^2 = 700000cm^2

    552920.3071cm^3/700000cm^2 = 0.789886153 cm = 7.9mm


Nearest mm = 8mm

Adzel:
thank you A@di!!!......+rep!

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