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3 years ago

Find the coordinates for the midpoint of the segment with endpoints given.

Mathematics

2 answers:

ZanzabumX [31]3 years ago

5 0

Answer:

$(\frac{1}{2},\frac{5}{2})$

Step-by-step explanation:

To find the midpoint of a segment of line we have thenext expression:

$(\frac{x_1+x_2}{2},\frac{y_1+y_2}{2})$

Then using our endpoints: $(3,5)$ and $(-2,0)$ we have $x_1=3,\,\,x_2=-2$ and $y_1=5,\,\,y_2=0$ . Now using that values in the expression of midpoint:

$(\frac{x_1+x_2}{2},\frac{y_1+y_2}{2})=(\frac{3+(-2)}{2},\frac{5+0}{2})=(\frac{3-2}{2},\frac{5}{2})=(\frac{1}{2},\frac{5}{2})$

Then the answer is:

$(\frac{1}{2},\frac{5}{2})$

Gnesinka [82]3 years ago

3 0

(1/2, 5/2) is correct one

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2 years ago

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Answer:

Explained below.

Step-by-step explanation:

According to the Central limit theorem, if from an unknown population large samples of sizes n > 30, are selected and the sample proportion for each sample is computed then the sampling distribution of sample proportion follows a Normal distribution.

The mean of this sampling distribution of sample proportion is:

$\mu_{\hat p}= p$

The standard deviation of this sampling distribution of sample proportion is:

$\sigma_{\hat p}=\sqrt{\frac{p(1-p)}{n}}$

(a)

The sample selected is of size <em>n</em> = 450 > 30.

Then according to the central limit theorem the sampling distribution of sample proportion is normally distributed.

The mean and standard deviation are:

$\mu_{\hat p}=p=0.75\\\\\sigma_{\hat p}=\sqrt{\frac{p(1-p)}{n}}=\sqrt{\frac{0.75(1-0.75)}{450}}=0.0204$

So, the sampling distribution of sample proportion is $\hat p\sim N(0.75,0.0204^{2})$ .

(b)

Compute the probability that the sample proportion will be within 0.04 of the population proportion as follows:

$P(p-0.04$

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Thus, the probability that the sample proportion will be within 0.04 of the population proportion is 0.95.

(c)

The sample selected is of size <em>n</em> = 200 > 30.

Then according to the central limit theorem the sampling distribution of sample proportion is normally distributed.

The mean and standard deviation are:

$\mu_{\hat p}=p=0.75\\\\\sigma_{\hat p}=\sqrt{\frac{p(1-p)}{n}}=\sqrt{\frac{0.75(1-0.75)}{200}}=0.0306$

So, the sampling distribution of sample proportion is $\hat p\sim N(0.75,0.0306^{2})$ .

(d)

Compute the probability that the sample proportion will be within 0.04 of the population proportion as follows:

$P(p-0.04$

$=P(-1.31$

Thus, the probability that the sample proportion will be within 0.04 of the population proportion is 0.81.

(e)

The probability that the sample proportion will be within 0.04 of the population proportion if the sample size is 450 is 0.95.

And the probability that the sample proportion will be within 0.04 of the population proportion if the sample size is 200 is 0.81.

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3 years ago

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kykrilka [37]

Answer:

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Step-by-step explanation:

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3 years ago

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It is given by:

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In which:

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More can be learned about the monthly payments formula at brainly.com/question/26267630

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