ABC underwent a sequence of rigid transformations to give ABC. Which transformations might have taken place ?

Mathematics

1 answer:

SVEN [57.7K]3 years ago

5 0

Either a reflection across the origin. Or a 180° clockwise rotation.

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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

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We would need a sample size of 560.

We first calculate the z-score associated. with this level of confidence:
Convert 95% to a decimal: 95% = 95/100 = 0.95
Subtract from 1: 1-0.95 = 0.05
Divide by 2: 0.05/2 = 0.025
Subtract from 1: 1-0.025 = 0.975

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:
$ME=z*\sqrt{\frac{\hat{p}(1-\hat{p})}{n}}$

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}}
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\\\text{Dividing both sides by 1.96,}
\\
\\\frac{0.04}{1.96}=\sqrt{\frac{0.63(0.37)}{n}}
\\
\\\text{Squaring both sides,}
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\\(\frac{0.04}{1.96})^2=\frac{0.63(0.37)}{n}
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\\\text{Multiplying both sides by n,}
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\\n(\frac{0.04}{1.96})^2=0.63(0.37)
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\\n(\frac{0.04}{1.96})^2=0.2331
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Answer:

Step-by-step explanation:

(-6)x(-6)=36

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