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xxTIMURxx [149]
3 years ago
7

A research company surveys 8,000 people. The company expects 6,000 people to respond favorably. If there is a percent error of 2

.5%, what is the range of people who will respond favorably to the survey? please help
Mathematics
1 answer:
Aliun [14]3 years ago
8 0

Answer:

400

Step-by-step explanation:

6/8 = 0.75 or 75% expected to respond favorably.

Margin of error 2.5%:

  Lower bound: 0.75 - .025 = 0.725

  Upper bound: 0.75 + .025 = 0.775

Range:

  Lower bound: 8000 * 0.725 = 5800

  Upper bound: 8000 * 0.775 = 6200

  6200 - 5800 = 400

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ΔADC is a right angle triangle, we will use the Pythagorus Theorem to find the length CD.

Formula of the Pythagorus Theorem :  

⇒ a² + b² = c²

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The value of AD is 54 and the value of AC is 90:

54² + CD² = 90²

Solve for CD:

54² + CD² = 90²

CD² = 90² - 54²

CD² = 5184

CD = √5184

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ΔADC is also a right angle triangle, we will use the Pythagorus Theorem to find the length BD.

Formula of the Pythagorus Theorem :  

⇒ a² + b² = c²

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The value of CD is 72 and the value of BC is 97:

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Answer: The length of BD is 65 units.

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Lin sold 4 more shirts than Greg. Fran sold 3 times as many shirts as Lin. In total the three sold 51 shirts. Which represents t
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 <span>Your Answer: D 

Why.... 

You can make equations out of the information 
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F = 3L ---"Fran sold 3 times as many shirts as Lin" 
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Use F + G + L = 51 
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(3L) + G + (4+G) = 51 

You still have a variable besides G in there... you can use the L= 4+G and substitute again so that there are only G's 

( 3(4+G) ) + G + (4+G) = 51 ---- SIMPLIFY :D 
( 12 + 3G ) + G + 4 + G = 51 
12 + 3G + G + 4 + G = 51 ---Combine like terms 
16 + 5G = 51 </span>
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