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Anastaziya [24]
3 years ago
8

If JO = 32, is triangle JKO is congruent PMN to triangle ? If so, find JN.

Mathematics
1 answer:
TiliK225 [7]3 years ago
8 0
It is true that they are congruent.
Side JK and PM are congruent to each other
JK = 25 
PM is divided into two measurements=19 and 6.
So PM is 19 + 6 = 25
Therefore JK = PM
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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:

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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
The manager at Gabriela's Furniture Store is trying to figure out how much to charge for a book shelf that just arrived. The boo
Burka [1]

Answer: The manager sold the book shelf at $235.2

Step-by-step explanation:

Since we have given that

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But Gabriela's Furniture Store marks up all furniture by 60%.

So, Mark up value is given by

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So, the new price that the manager sold the book shelf is given by

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3 years ago
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daser333 [38]

Answer:

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Step-by-step explanation:

12x - 4x + 3 + 11 <em>(</em><em>Subtract</em><em> </em><em>12x</em><em> </em><em>-</em><em> </em><em>4x</em><em>)</em>

8x + 3 + 11<em> </em><em> </em><em> </em><em> </em><em> </em><em> </em><em> </em><em> </em><em> </em><em> </em><em>(</em><em>Add</em><em> </em><em>3</em><em> </em><em>+</em><em> </em><em>1</em><em>1</em><em>)</em>

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Serggg [28]
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Answer:

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Step-by-step explanation:

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