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kifflom [539]
3 years ago
10

Basic Geometry question. Please help me understand if you are allowed to name it using the niddle point or ONLY the endpoint.

Mathematics
1 answer:
Ad libitum [116K]3 years ago
3 0

You have to use two points to name a segment. So this you could name DE, EF, FD, and so forth

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Dwayne is 4 years older than Sarah. In 7 years the sum of their ages will be 48 . How old is Dwayne now?
zalisa [80]

Answer: 37

Step-by-step explanation: If you start your math by taking 48 and subtracting 7 you will get 41, this question says it the sum of both ages will be 48 in 7 years so subtract those to get 48. After, you can subtract 4 from 41 since that is just the sum of both ages, you take 41 and minus 4, your answer is 37 (sorry if its wrong but I think its most likely going to be correct)

5 0
1 year ago
At least 96.00​% of the data in any data set lie within how many standard deviations of the​ mean? Explain how you arrived at yo
zheka24 [161]

The answer assumes that the question is about the <em>normal distribution</em>.

Answer:

96% of the data in any data set <em>normally distributed</em> is 2.05 <em>standard deviations</em> <em>above</em> and <em>below</em> the mean.

Step-by-step explanation:

The key to solving this question is having into account that exists the <em>standard normal distribution</em> that permits obtaining any probability from any normally distributed data, doing the following transformation:

\\ z = \frac{x-\mu}{\sigma}

That is, in this case, we subtract a given value <em>x</em> from the <em>population mean</em> and then divide the result by the <em>population standard deviation</em>. This is a z-score, and this value is associated with the probability for a <em>standard normal distribution</em>, with a population mean = 0 and population standard deviation = 1.

Fortunately, for the <em>standard normal distribution</em>, there is associated a ubiquitous <em>standard normal table</em> for possible values of <em>z</em> and the corresponding probability. Then, knowing that the data are <em>normally distributed</em> and having both distribution <em>parameters</em>, namely, the <em>population mean</em> and <em>population standard deviation</em>, we can consult any standard normal table to find the probabilities for any data distributed following the normal distribution.

However, even without previously know the values of the normal parameters, the standard normal distribution can tell us how many standard deviations from the mean are 96.00% of the data for every normally distributed population.

<h3>Solving the question</h3>

Having all this information at hand, we know that <em>the z-score value tells us how many standard deviations</em> <em>from the mean</em> are the data normally distributed. As a result, we can determine how many standard deviations below and above the population mean represent the 96.00% of the cases for this normal distribution consulting a <em>cumulative standard normal table from the mean</em>.

If we divide 96.00/2 = 48, that is, 0.48, we need to find the z-score for this probability consulting a <em>cumulative standard normal table from the mean</em>. The values for a z-score for that probability is z=2.05, approximately. So, since the normal distribution is also symmetrical, those values are above and below the mean, that is, z =2.05 (above) and z=-2.05(below).

Thus, 96% of the data in any data set normally distributed is 2.05 <em>standard deviations</em> <em>above</em> and <em>below</em> the mean.  

 

5 0
3 years ago
Describe a transformation that would make quadrilateral ABCD into a square
Harlamova29_29 [7]

Answer:

ok, relax and listen I’ve got this ok?

Step-by-step explanation:

You just move it up 4 squares to (2, 9), (10,9)

see?you got this I believe in you!!!

5 0
3 years ago
Help asap worth 50 points<br> Use grouping symbols to make each equation true.<br> 16-4/2+3=9
ira [324]

Answer:

This question is only if 25 points. And you have typed 50 points.

Answer is 16-4-2-1

5 0
2 years ago
Eight times the reciprocal of a number equals 4 times the reciprocal of 8. find the number
Burka [1]
8*(1/x) = 4*(1/8)
8/x = 4/8
64 = 4x
x = 16
4 0
3 years ago
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