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Y_Kistochka [10]

2 years ago

10

One beaver can chew though a tree that is 15 cm thick in 20 min if it works at the same pase how long will it tack one beaver to

cut down enough trees to create a stack 1.2 meters tall

1 answer:

Vesna [10]2 years ago

4 0

It takes 8 trees to make a stack 1.2 metres tall, so if ut takes 20 minutes per tree, then it will take 8 × 20 or 160 minutes, or 2 hours 40 minutes.

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Answer:

$n=\frac{0.5(1-0.5)}{(\frac{0.03}{1.96})^2}=1067.11$

And rounded up we have that n=1068

Step-by-step explanation:

For this case we have the following info given:

$ME=0.03$ the margin of error desired

$Conf= 0.95$ the level of confidence given

The margin of error for the proportion interval is given by this formula:

$ME=z_{\alpha/2}\sqrt{\frac{\hat p (1-\hat p)}{n}}$ (a)

the critical value for 95% of confidence is $z=1.96$

We can use as estimator for the population of interest $\hat p=0.5$ . And on this case we have that $ME =\pm 0.03$ and we are interested in order to find the value of n, if we solve n from equation (a) we got:

$n=\frac{\hat p (1-\hat p)}{(\frac{ME}{z})^2}$ (b)

And replacing into equation (b) the values from part a we got:

$n=\frac{0.5(1-0.5)}{(\frac{0.03}{1.96})^2}=1067.11$

And rounded up we have that n=1068

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