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2 years ago

How do you write 75% as a fraction?

Mathematics

2 answers:

dem82 [27]2 years ago

8 0

Answer:

3/4

Step-by-step explanation:

.74(75%) is equal to 75/100

The greatest common factor is 25, so divide 75 by 25 and 100 by 25.

75/25=3 100/25=4

So, 75/100 simplified is 3/4.

Akimi4 [234]2 years ago

6 0

Answer:

3/4 is 75% as a fraction

Step-by-step explanation:

Every percent is over 100.

To convert, you would to 75/100 and divide both top and bottom by 5

$\frac{75}{100} / \frac{5}{5}$ and you would get 15/20

You answer would be 15/20 UNLESS its asking you to put it in <u>simplest </u>form.

To put it into simplest form, you would divide both sides by 5 again.

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Answer:

$n=\frac{0.5(1-0.5)}{(\frac{0.04}{1.64})^2}=420.25$

And rounded up we have that n=421

Step-by-step explanation:

We know that the sample proportion have the following distribution:

$\hat p \sim N(p,\sqrt{\frac{p(1-p)}{n}})$

In order to find the critical value we need to take in count that we are finding the interval for a proportion, so on this case we need to use the z distribution. Since our interval is at 90% of confidence, our significance level would be given by $\alpha=1-0.90=0.1$ and $\alpha/2 =0.05$ . And the critical value would be given by:

$z_{\alpha/2}=-1.64, z_{1-\alpha/2}=1.64$

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

And on this case we have that $ME =\pm 0.04$ 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)

We assume that a prior estimation for p would be $\hat p =0.5$ since we don't have any other info provided. And replacing into equation (b) the values from part a we got:

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