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tia_tia [17]
3 years ago
13

How much will you save if you buy an item listed at 175.50 at a 35 percent discount

Mathematics
1 answer:
frosja888 [35]3 years ago
6 0

Answer:

We still save 61.43

Step-by-step explanation:

If the discount rate is 35%, we still have to pay 100-35 = 65%

Take the list price and multiply by the percent we still have to pay

175.50 * 65%

175.50 * .65

114.075

We still have to pay 114.075

To determine how much we will save, take the original price and subtract how much we will pay

175.50-114.075

61.425

Rounding to the nearest cent

We will save 61.43

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Find the mean of the data summarized in the given frequency distribution. Compare the computed mean to the actual mean of 47.3 m
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Answer:

\bar X = \frac{2276}{48}=47.417

If we compare this value with the 47.3 proposed we have the following error

Error = \frac{|Actual-real|}{real}*100 = \frac{|47.417-47.3|}{47.3}*100 =0.247\%

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Step-by-step explanation:

Assuming the following dataset:

Speed   42-45  46-49  50-53  54-57  58-61

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And we are interested in find the mean, since we have grouped data the formula for the mean is given by:

\bar X = \frac{\sum_{i=1}^n x_i f_i}{\sum_{i=1}^n f_i}

And is useful construct a table like this one:

Speed     Freq    Midpoint   Freq*Midpoint

42-45       21            43.5       913.5

46-49       15            47.5        712.5

50-53       6             51.5         309

54-57        4            55.5         222

58-61        2             59.5        119

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And the mean is given by:

\bar X = \frac{2276}{48}=47.417

If we compare this value with the 47.3 proposed we have the following error

Error = \frac{|Actual-real|}{real}*100 = \frac{|47.417-47.3|}{47.3}*100 =0.247\%

The computed mean is close to the actual mean because the difference between the means is less than 5%.  

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Answer:

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