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3 years ago

Which point best approximates .....

Mathematics

2 answers:

Dovator [93]3 years ago

8 0

Answer:

Option B is correct .i.e, Point B

Step-by-step explanation:

We are given √3 and point on a Number line

We have to find point approximately equal to √3

We know the value of √3 = 1.73

From Number line,

Value of point A = 0.3

Value of point B = 1.7

Value of point C = 2

Value of point D = 3

⇒ Point B approximates the value of √3

Therefore, Option B is correct.

tensa zangetsu [6.8K]3 years ago

3 0

Is point B.
Because √3≈1.7.
So it should be B.

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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 95% of confidence, our significance level would be given by $\alpha=1-0.95=0.05$ and $\alpha/2 =0.025$ . And the critical value would be given by:

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Part a

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)

And on this case we have that $ME =\pm 0.02$ 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)

Since we don't have prior information about the population proportion we can use ase estimator $\hat p =0.5$ . And replacing into equation (b) the values from part a we got:

$n=\frac{0.5(1-0.5)}{(\frac{0.02}{1.96})^2}=2401$

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For thi case the estimator for p is $\hat p =0.07$

$n=\frac{0.07(1-0.07)}{(\frac{0.02}{1.96})^2}=625.22$

And rounded up we have that n=626

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