karen was in a trivia contest and got 38 of the 40 questions correct. what precent of the questions did she get wrong?

Mathematics

2 answers:

iogann1982 [59]3 years ago

3 0

Answer:

5 percent because it's percent is out of 100

Alexus [3.1K]3 years ago

3 0

Answer:

5%

Step-by-step explanation:

38/40 can be simplified

19/20

Then you would multiply it by 5.

95/100

Then you would subtract 100-95

Therefore, your answer would be 5%.

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A survey of shoppers is planned to determine what percentage use credit cards. prior surveys suggest 63% of shoppers use credit

Alona [7]

We would need a sample size of 560.

We first calculate the z-score associated. with this level of confidence:
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Divide by 2: 0.05/2 = 0.025
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Using a z-table (http://www.z-table.com) we see that this is associated with a z-score of 1.96.

The margin of error, ME, is given by:
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We want ME to be 4%; 4% = 4/100 = 0.04. Substituting this into our equation, as well as our proportion and z-score,
$0.04=1.96\sqrt{\frac{0.63(1-0.63)}{n}}
\\
\\\text{Dividing both sides by 1.96,}
\\
\\\frac{0.04}{1.96}=\sqrt{\frac{0.63(0.37)}{n}}
\\
\\\text{Squaring both sides,}
\\
\\(\frac{0.04}{1.96})^2=\frac{0.63(0.37)}{n}
\\
\\\text{Multiplying both sides by n,}
\\
\\n(\frac{0.04}{1.96})^2=0.63(0.37)
\\
\\n(\frac{0.04}{1.96})^2=0.2331
\\
\\\text{Isolating n,}
\\
\\n=\frac{0.2331}{(\frac{0.04}{1.96})^2}=559.67\approx560$

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