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erma4kov [3.2K]
3 years ago
8

The sum of a number and two times a smaller number is 62. three times the bigger number exceeds the smaller number by 116. the b

igger number is . the smaller number is
Mathematics
1 answer:
Semmy [17]3 years ago
3 0
X+2y=62
3x-2y=116

solving the simultaneous equations by multiplying first equation by 3;
3x+6y=186
3x-y=116

Subtracting equation II from equation I;
7y=70
y=10
 Replacing y in equation I;

x+20=62
x=42

Bigger number is 42 and smaller number is 20.


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Answer:

<em>The large  sample n = 117.07</em>

Step-by-step explanation:

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

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

The proportion (p) = 0.75

q =1-p = 1- 0.75 =0.25

Level of significance = 0.05

Z₀.₀₅ = 1.96≅ 2

<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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2 years ago
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