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Burka [1]
2 years ago
5

Which statements prove that a quadrilateral is a parallelogram?

Mathematics
2 answers:
Arte-miy333 [17]2 years ago
4 0

Answer:

It is the Quadrilateral DEFG has only one set of opposite angles that are congruent and Quadrilateral DEFG has one diagonal that bisects the other diagonal.

Step-by-step explanation:

Mashcka [7]2 years ago
4 0

Answer:

Quadrilateral DEFG has only one set of opposite angles that are congruent.

Step-by-step explanation:

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How do you find the median and standard deviation for 3,3,3,3,4,4,4,4,4,5,5,5,5,5,5,5,6,6,6,6,6,6,6,6,6,6,7,7,7,7,7,7,8,8,8,8,8,
Rashid [163]

Answer:

Median is 6

standard deviation is 2.39

Step-by-step explanation:

the median is the mid number in the data set

The median formula is {(n + 1) ÷ 2}th, where “n” is the number of items in the set and “th” just means the (n)th number.

There are 51 data points in this set (n = 51)

so 51 / 2 = 25.5, the. number in the 25th slot is our median

3, 3, 3, 3, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6,<u> 6</u>, 6, 7, 7, 7, 7, 7, 7, 8, 8, 8, 8, 8, 9, 9, 9, 9, 10, 10, 10, 10, 10, 11, 11, 11, 11, 11

the standard deviation is a measure of how dispersed the data is in relation to the mean. Low standard deviation means data are clustered around the mean, and high standard deviation indicates data are more spread out.

7 0
2 years ago
true or false If x represents a random variable with mean 114 and standard deviation 40, then the standard deviation of the samp
Goshia [24]

Answer:

\mu = 114, \sigma = 40

We also know that we select a sample size of n =100 and on this case since the sample size is higher than 30 we can apply the central limit theorem and the distribution for the sample mean would be given by:

\bar X \sim N(\mu, \frac{\sigma}{\sqrt{n}})

And the standard deviation for the sampling distribution would be:

\sigma_{\bar X}= \frac{40}{\sqrt{100}}= 4

So then the answer is TRUE

Step-by-step explanation:

Let X the random variable of interest and we know that the true mean and deviation for this case are given by:

\mu = 114, \sigma = 40

We also know that we select a sample size of n =100 and on this case since the sample size is higher than 30 we can apply the central limit theorem and the distribution for the sample mean would be given by:

\bar X \sim N(\mu, \frac{\sigma}{\sqrt{n}})

And the standard deviation for the sampling distribution would be:

\sigma_{\bar X}= \frac{40}{\sqrt{100}}= 4

So then the answer is TRUE

6 0
3 years ago
You are making identical balloon arrangements for your family reunion. You have 42 maroon
galben [10]

Answer: 42 in all, 14 of each.

Step-by-step explanation

The color with the least amount of balloons is orange with 14. this means to have an equal amount of balloons for each color, you would need 14 of each color.

8 0
2 years ago
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alexira [117]

Answer:

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Step-by-step explanation:

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8 0
3 years ago
Read 2 more answers
Find the measure of the angle indicated in bold.*
Irina18 [472]

Answer:

131°

Step-by-step explanation:

the equations represent alternate exterior congruent angles so they are equal.

31x + 7 = 32x + 3

simplify:

4 = x

31(4) + 7 = 131°

6 0
2 years ago
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