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vladimir2022 [97]
3 years ago
14

In the figure on the right, Triangle EFG is congruent to Triangle LMN. Find the value of x. Then describe the Transformations th

at map triangle EFG on to Triangle LMN.​

Mathematics
2 answers:
sattari [20]3 years ago
7 0
Sometime I go in my garden and cover myself with dirt and pretend I’m a carrot
Reptile [31]3 years ago
3 0

Answer:

Step-by-step explanation:

ΔEFG ≅ΔLMN

Therefore,  MN = FG    { corresponding part of congruence triangle}

x + 3 = 13

x = 13 - 3

x = 10 cm

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For each level of precision, find the required sample size to estimate the mean starting salary for a new CPA with 95 percent co
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(a) Margin of error ( E) = $2,000 , n = 54

(b)   Margin of error ( E) = $1,000 , n = 216

(c)   Margin of error ( E) = $500 , n= 864

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Z_{\frac{\alpha}{2}} =  Z_{\frac{.05}{2}} = 1.96

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(a) Margin of error ( E) = $2,000

Margin of error ( E)  = Z_{\frac{\alpha}{2}}\frac{\sigma}{\sqrt{n}}

                           E   = Z_{\frac{.05}{2}}\frac{7500}{\sqrt{n}}

Squaring both side

E^{2} = 1.96^{2}\times\frac{7500^{2}}{n}

n =\frac{1.96^{2}}{2000^{2}} \times 7500^{2}

n =  54.0225

n = 54 ( approximately)

(b)   Margin of error ( E) = $1,000

          E     = Z_{\frac{\alpha}{2}}\frac{\sigma}{\sqrt{n}}

         1000   =  Z_{\frac{.05}{2}}\frac{7500}{\sqrt{n}}

Squaring both side

1000^{2} = 1.96^{2}\times\frac{7500^{2}}{n}

n =\frac{1.96^{2}}{1000^{2}} \times 7500^{2}

n = 216

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  500 = Z_{\frac{.05}{2}}\frac{7500}{\sqrt{n}}

Squaring both side

500^{2} = 1.96^{2}\times\frac{7500^{2}}{n}

n =\frac{1.96^{2}}{500^{2}} \times 7500^{2}

n = 864

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