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Umnica [9.8K]
2 years ago
14

By selling goods for $168, a profit of 12% was made by a merchant . How much did the goods cost him ?

Mathematics
1 answer:
stellarik [79]2 years ago
5 0

Answer:

$147.84

Step-by-step explanation:

168 * 0.12 = 20.16

168-20.16 = 147.84

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Read 2 more answers
Find the size of each of two samples (assume that they are of equal size) needed to estimate the difference between the proporti
lesya [120]

Answer:

a) the sample size (n) = 156.25≅ 156

Step-by-step explanation:

<u>Step1 </u>:-

Given the two sample sizes are equal so n_{1} =n_{2} = n

Given the standard error (S.E) = 0.04

The standard error of the proportion of the given  sample size

S.E = \sqrt{\frac{pq}{n} }

Step 2:-

here we assume that the proportion of boys and girls are equally likely

p= 1/2 and q= 1/2

S.E = \sqrt{\frac{p(1-p)}{n} } \leq \frac{\frac{1}{2} }{\sqrt{n} }

\sqrt{n} = \frac{\frac{1}{2} }{S.E}

squaring on both sides, we get

n = \frac{1}{(2X0.04)^{2} }

on simplification, we get

n= 156.25 ≅ 156

sample size (n) = 156

<u>verification</u>:-

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Standard error = 0.04

4 0
2 years ago
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