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satela [25.4K]
4 years ago
13

Two similar FOR SALE signs have a scale factor of 5:3. The largest sign’s perimeter is 60 inches. Find the small sign’s perimete

r.
Mathematics
1 answer:
Ulleksa [173]4 years ago
5 0

The small sign's perimeter is 36 inches

Step-by-step explanation:

The scale factor between two figures is obtained by:

Scale = \frac{P_{l}}{P_{s}}

So,

We know that

Scale= 5:3\\P_l = 60\ in\\

Putting the values in the above equation of scale factor we get

\frac{5}{3} = \frac{60}{P_s}

Cross multiplication

5 * P_s = 60*3\\5P_s = 180

Dividing both sides by 5

\frac{5P_s}{5} = \frac{180}{5}\\P_s = 36

Hence,

The small sign's perimeter is 36 inches

Keywords: Scale factor, Ratio

Learn more about scale factor at:

  • brainly.com/question/8799684
  • brainly.com/question/8805387

#LearnwithBrainly

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Answer:

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Step-by-step explanation:

For this case the parameter of interest is given by:

p who represent the true proportion of respondents said that they were willing to pay more for products and services from companies who are committed to positive social and environmental impact

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This value represent the best estimator for the true proportion since is an unbiased estimator of the real parameter:

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For this case if we want to test if the population proportion is equal to an specified value we can use the one sample z test for a proportion:

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Alternative hypothesis:p \neq p_o  

When we conduct a proportion test we need to use the z statisitc, and the is given by:  

z=\frac{\hat p -p_o}{\sqrt{\frac{p_o (1-p_o)}{n}}} (1)  

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Step-by-step explanation:

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