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3 years ago

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Mathematics

1 answer:

Tresset [83]3 years ago

6 0

Answer:I need points sorry

Step-by-step explanation: I. NEED. POINTS. sowwy.

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Camila lives 3/10 kilometer from the park. Mariam lives 4 times as many kilometers from the park as Camila. How many kilometers

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Answer:

1.2 kilometers

Step-by-step explanation:

0.3x4=1.2 kilometers

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Perpendicular lines do not intersect. True or false?

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Perpendicular lines are lines that intersect at a right (90 degrees) angle

Step-by-step explanation:

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Nitrates are groundwater contaminants derived from fertilizer, septic tank seepage and other sewage. Nitrate poisoning is partic

o-na [289]

Answer:

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

And rounded up we have that n=2401

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

And rounded up we have that n=626

And we see that if we have previous info about p the sample size varies a lot.

Step-by-step explanation:

Previous concepts

A confidence interval is "a range of values that’s likely to include a population value with a certain degree of confidence. It is often expressed a % whereby a population means lies between an upper and lower interval".

The margin of error is the range of values below and above the sample statistic in a confidence interval.

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".

Solution to the problem

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:

$z_{\alpha/2}=-1.96, z_{1-\alpha/2}=1.96$

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:

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

And rounded up we have that n=2401

Part b

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

And we see that if we have previous info about p the sample size varies a lot.

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3 years ago

Probability of father and mother born in Michigan independent.<br><br>

raketka [301]

Answer:

A. no, not independent

Step-by-step explanation:

Let A = "father born in Michigan" and B = "mother born in Michigan".

If A and B are independent, then ...

P(A|B) = P(A)

The table tells us ...

P(A|B) = P(A&B)/P(B) = 0.29/0.73 ≈ 0.397

and

P(A) = 0.48

Since 0.48 ≠ 0.397, we must conclude that the events are not independent.

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for Anthony's birthday his mother is making cupcakes for his 12 friends at daycare the recipe calls for three and one third cup

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You subtract in this number sentence

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