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3 years ago

The sum of two consecutive integers

Mathematics

2 answers:

Shkiper50 [21]3 years ago

7 0

Answer:

It is D because 17+18 is 35 so too low and 19+20 is 39 which works, but 18+19 is 37 which also works but is the lowest numbers you can use which means they are answer

Step-by-step explanation:

Pie3 years ago

5 0

Answer:

18 and 19

Step-by-step explanation:

n+(n+1)=36

2 x n+1=36

n>35/2

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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

The hypotenuse of a 45°-45°-90° triangle measures 7√2 units. what is the length of one leg of the triangle

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7 because a(one side)= 1/sqrt2 * hypotenuse (7*sqrt2) THis equals 7

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3 years ago

Read 2 more answers

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VMariaS [17]

Answers:

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3 years ago

Ill give brainliest to the correct answer

Alexxandr [17]

Answer:

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Now lets add the given areas:

28 + 20 + 80 = 128 square is your answer.

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3 years ago