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Taya2010 [7]
3 years ago
10

What is the ratio of the number of beaks to the number of legs the chickens and the sheep have on this farm?

Mathematics
1 answer:
Sidana [21]3 years ago
6 0

Answer:

8 chickens, 14 sheep needs to be simplified

Step-by-step explanation:

So the chicken has 1 beak and 2 legs and a sheep has 4 legs.

so since there are 8 chickens we know we have 8 beaks

if we mulitply 2 times 8 we get 16

if we mulitply 4 times 14 we get 56

the number of legs is 16+56=72

so we have 8 beaks and 72 legs or 8:72

Divide both sides by 8 to simpilfy u get 1:9 as the answer

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Answer:

a)

n = (\frac{z\sqrt{0.16*0.84}}{0.03})^2, in which z is related to the confidence level.

b) A sample size of 991 is needed.

Step-by-step explanation:

In a sample with a number n of people surveyed with a probability of a success of \pi, and a confidence level of 1-\alpha, we have the following confidence interval of proportions.

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In which

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The margin of error is:

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In 16% of all homes with a stay-at-home parent, the father is the stay-at-home parent

This means that \pi = 0.16

a. What sample size is needed if the research firm's goal is to estimate the current proportion of homes with a stay-at-home parent in which the father is the stay-at-home parent with a margin of error of 0.03 (round up to the next whole number).

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0.03 = z\sqrt{\frac{0.16*0.84}{n}}

0.03\sqrt{n} = z\sqrt{0.16*0.84}

\sqrt{n} = \frac{z\sqrt{0.16*0.84}}{0.03}

(\sqrt{n})^2 = (\frac{z\sqrt{0.16*0.84}}{0.03})^2

n = (\frac{z\sqrt{0.16*0.84}}{0.03})^2, in which z is related to the confidence level.

Question b:

99% confidence level,

So \alpha = 0.01, z is the value of Z that has a pvalue of 1 - \frac{0.01}{2} = 0.995, so Z = 2.575.

n = (\frac{z\sqrt{0.16*0.84}}{0.03})^2

n = (\frac{2.575\sqrt{0.16*0.84}}{0.03})^2

n = 990.2

Rounding up

A sample size of 991 is needed.

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