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stiks02 [169]
2 years ago
11

Solve for the value of x by applying the definitions of complementary and supplementary angles

Mathematics
1 answer:
Tatiana [17]2 years ago
4 0

9514 1404 393

Answer:

  x = 52

Step-by-step explanation:

The square corner symbol indicates the sum of the marked angles is 90°. (They are complementary.)

  (x +3)° +35° = 90°

  x° = 90° -38° = 52°

  x = 52

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Bezzdna [24]
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3 years ago
In a survey of 5000 registered voters who reside in California, 2739 were found to be republican. Construct a confidence estimat
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Answer and Step-by-step explanation:

given:

Sample size is: n =5000

The sample proportion is: Ṗ = 2739 / 5000 = 54.78%

And the critical value of z for 99% confidence interval is

                                                 Z = 2.58

For a 99 % confidence interval we use formula:

                                                   Ṗ ± z√(Ṗ(1- Ṗ)/n)

By putting the given values in this formula:

                                                     0.54 ± 2.58√(0.54(1-0.54)/5000)

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This gives us upper confidence limit of

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This gives us lower confidence limit of

o.54 – 0.018 = 0.522 = 0.53%

7 0
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