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lisabon 2012 [21]

2 years ago

8

at a farm the ratio of the number of hens to the number of ducks is 3:5 there are 125 ducks at the farm how many hens are there

on the farm

2 answers:

Readme [11.4K]2 years ago

8 0

3 : 5

x : 125

125 ÷ 5 = 25

25 × 3 = 75

no. of hens = 75

vredina [299]2 years ago

3 0

It is 75 dude goodluck!!

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Step-by-step explanation:

<u><em>Step(i):-</em></u>

Given that the estimate error (M.E) = 0.08

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q =1-p = 1- 0.75 =0.25

Level of significance = 0.05

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<u><em>Step(ii):-</em></u>

The Marginal error is determined by

M.E = $\frac{Z_{0.05} \sqrt{p(1-p)} }{\sqrt{n} }$

$0.08 = \frac{2 X \sqrt{0.75(1-0.75)} }{\sqrt{n} }$

Cross multiplication , we get

$\sqrt{n} = \frac{2 X \sqrt{0.75(1-0.75)} }{0.08 }$

√n = $\frac{2 X0.4330}{0.08} = 10.825$

squaring on both sides , we get

n = 117.07

<u><em>Final answer:-</em></u>

<em>The large sample n = 117.07</em>

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