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spin [16.1K]
3 years ago
5

It is worked out that if 4 ladles full of soup are given to each person, 120 people can be fed. The customers have complained in

the past that the portions are too small. The cook decides to give 6 ladles full of soup to each person. How many people can now be fed soup?
Mathematics
1 answer:
alina1380 [7]3 years ago
6 0

Answer:

80\ people

Step-by-step explanation:

Per person available ladles full of soup=4

Total number of persons=120

Hence total number of ladles full of soup=120\times 4=480

Now per person available ladles full of soup=6

Total number of persons that can be fed

=\frac{total\ availability}{per\ person\ requirements}\\\\=\frac{480}{6}\\\\=80

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Answer:

n=(\frac{1.960(80)}{25})^2 =246.73 \approx 247

So the answer for this case would be n=247 rounded up to the nearest integer

Step-by-step explanation:

We know that the standard deviation is :

\sigma = 80 represent the deviation

The margin of error is given by this formula:

ME=z_{\alpha/2}\frac{\sigma}{\sqrt{n}}    (a)

And on this case we have that ME =25 and we are interested in order to find the value of n, if we solve n from equation (a) we got:

n=(\frac{z_{\alpha/2} \sigma}{ME})^2   (b)

The critical value for 95% of confidence interval now can be founded using the normal distribution and the critical value would be z_{\alpha/2}=1.960, replacing into formula (b) we got:

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So the answer for this case would be n=247 rounded up to the nearest integer

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