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MrRa [10]
3 years ago
6

How are these two triangles related?

Mathematics
1 answer:
DerKrebs [107]3 years ago
3 0

Answer: c

Step-by-step explanation:

they are similar but to be congruent they need to be the same and therefore can not touch like that

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A random sample of 85 sixth-graders in a large city take a course designed to improve scores on a reading comprehension test. Ba
BartSMP [9]

Answer:

12.6 < \mu < 14.8

For this case we can find the margin of error like this:

ME= \frac{14.8-12.6}{2}= 1.1

Since we need to divide the width of the interval by 2.

And now with the margin of error we can find the sample mean with any of the two following ways:

12.6 +1.1=13.7

14.8-1.1=13.7

So for this case the correct answer would be:

A. Sample Mean = 13.7; Margin of Error = 1.1

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

The confidence interval for the mean is given by the following formula:  

\bar X \pm t_{\alpha/2}\frac{s}{\sqrt{n}} (1)  

In order to calculate the critical value t_{\alpha/2} we need to find first the degrees of freedom, given by:  

df=n-1=85-1=84

We know that the confidence interval is given by:

12.6 < \mu < 14.8

For this case we can find the margin of error like this:

ME= \frac{14.8-12.6}{2}= 1.1

Since we need to divide the width of the interval by 2.

And now with the margin of error we can find the sample mean with any of the two following ways:

12.6 +1.1=13.7

14.8-1.1=13.7

So for this case the correct answer would be:

A. Sample Mean = 13.7; Margin of Error = 1.1

3 0
2 years ago
Find the slope of the line that passes through the pair of points. ​(negative 44.29−44.29​,4.84.8​) and ​(5.295.29​,3.53.5​)
Damm [24]
1.7602899999999995x + 49.138y = 182.23671592000002

6 0
3 years ago
Simplify the ratio of<br> 35 : 14
Ne4ueva [31]

Answer:

5:2

Step-by-step explanation:

divide both numbers by 7

hope this helps...

3 0
2 years ago
Read 2 more answers
lara has 90 mild peppers and 36 hot peppers. she is putting them into baskets so that each basket has the same number of mild pe
Mariulka [41]

Answer:

Up to 36

Step-by-step explanation:

If she puts one pepper hot pepper in every basket she can make a total of 36 baskets

8 0
3 years ago
Which is the missing step in the proof below? Given: ABCD IS A PARALLELOGRAM
OlgaM077 [116]

Answer:

no picture

Step-by-step explanation:

3 0
3 years ago
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