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tatuchka [14]
3 years ago
10

Help will give 25 Brainly points if answer is right

Mathematics
1 answer:
Sladkaya [172]3 years ago
5 0

Answer:

Two triangles are said to be similar when they have two corresponding angles congruent and the sides proportional.

wikibooks.com

In the above diagram, we see that triangle EFG is an enlarged version of triangle ABC i.e., they have the same shape. The same shape of the triangle depends on the angle of the triangles.

∠ABC=∠EGF,∠BAC=∠GEF,∠EFG=∠ACB

The area, altitude, and volume of Similar triangles are in the same ratio as the ratio of the length of their sides.

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An engineer wishes to determine the width of a particular electronic component. If she knows that the standard deviation is 1.6
nexus9112 [7]

Answer:

n=1705

Step-by-step explanation:

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".  

Assuming the X follows a normal distribution  

X \sim N(\mu, \sigma=1.6)  

And the distribution for \bar X is:

\bar X \sim N(\mu, \frac{1.6}{\sqrt{n}})  

We know that the margin of error for a confidence interval is given by:  

Me=z_{\alpha/2}\frac{\sigma}{\sqrt{n}}   (1)  

The next step would be find the value of \z_{\alpha/2}, \alpha=1-0.99=0.01 and \alpha/2=0.005  

Using the normal standard table, excel or a calculator we see that:  

z_{\alpha/2}=\pm 2.58  

If we solve for n from formula (1) we got:  

\sqrt{n}=\frac{z_{\alpha/2} \sigma}{Me}  

n=(\frac{z_{\alpha/2} \sigma}{Me})^2  

And we have everything to replace into the formula:  

n=(\frac{2.58(1.6)}{0.1})^2 =1704.03  

And if we round up the answer we see that the value of n to ensure the margin of error required \pm=0.1 mm is n=1705.  

6 0
3 years ago
Solve 4x−5=7+4y for y.
drek231 [11]

4x−5=7+4y

subtract 7 from both side

4x - 5 -7 = 4y

4x -12 = 4y

divide by 4

4x/4 -12/4 = 4y/4

x-3=y

6 0
3 years ago
Read 2 more answers
Can someone please help!
11Alexandr11 [23.1K]

Answer:

(x, y ) → (- y, - x )

Step-by-step explanation:

Consider the coordinates of corresponding vertices of the 2 triangles, that is

A(1, 7 ) → D(- 7, - 1 )

Note the coordinates of D are the negative reversals of A

Thus (x, y ) → (- y, - x )

8 0
3 years ago
What is the mean,median,mode(s) an range if the numbers are 15,30,17,15,24,31,15
Phoenix [80]
The mean is 21.  The median is 15.  The mode is 15.  The range is 16.
7 0
3 years ago
Read 2 more answers
Simplify the following
Nostrana [21]
It a or b that my answer
5 0
3 years ago
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