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aleksandr82 [10.1K]
3 years ago
7

Which segments are congruent?

Mathematics
1 answer:
lozanna [386]3 years ago
8 0

<h2><u>PLEASE MARK BRAINLIEST!</u></h2>

Answer:

The two congruent segments are EF and GF, and EH and GH.

Step-by-step explanation:

That being said, your answer is A because EF and GF are in fact congruent segments.

I hope this helps!

- sincerelynini

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A television sports commentator wants to estimate the proportion of citizens who​ "follow professional​ football." ​
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Answer: a)2206  b) 2209

Step-by-step explanation:

Formula to find the sample size :

a) If prior population proportion (p) is known.

n=p(1-p)(\dfrac{z_{c}}{E})^2

b) If prior population proportion (p) is unknown.

n=0.25(\dfrac{z_{c}}{E})^2

where, {z_{c} is the z-value associated with confidence level and E would be the margin of error .

Solution : Let p be the proportion of citizens who​ "follow professional​ football."

a) Given : p=0.48

Margin of error : E= 0.02

z-value for 94% confidence = z_c=1.88

Required sample size would be :

n=p(1-p)(\dfrac{z_{c}}{E})^2

\Rightarrow\ n=0.48(1-0.48)(\dfrac{1.88}{0.02})^2

Simply ,

n=2205.4656\approx2206  [Rounded to the next whole number.]

∴ The sample size is <u>2206</u>.

b) Proportion of citizens who​ "follow professional​ football" is unknown.

Margin of error : E= 0.02

z-value for 94% confidence = z_c=1.88

Required sample size would be :

n=0.25(\dfrac{z_{c}}{E})^2

\Rightarrow\ n=0.25(\dfrac{1.88}{0.02})^2

Simply ,

n=2209  

∴ The sample size is <u>2209</u>.

8 0
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The sum of two numbers is 53 and the difference is 27. What are the numbers?
ikadub [295]

Answer:

The numbers are 39 and 14.

Step-by-step explanation:

Equation 1, sum of the numbers:

 

x  +  y   =  53

 

Equation 2, difference of the numbers:

 

x  -  y  = 25

 

System of equations:

 

x  +  y  =  53

x  -  y   =  25

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2x = 78

 

x = 39

 

Solve for y:

 

39  +  y  = 53

 

y  =  14

 

The numbers are 39 and 14.

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