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Mice21 [21]
1 year ago
5

Claire for to a show sale. Everything on the shelf is 35% off the marked price. She falls in love with a pair of red heels that

are marked $64.99. if the sales tax is 7.5%, what will the total cost be.?
Mathematics
1 answer:
lyudmila [28]1 year ago
8 0
Percentage of discount on the Marked price = 35%
Marked price of the pair of red heels that Claire falls in love with = $64.99
Then
Amount of discount on the
marked price of the pair of red heels = (35/100) * 64.99 dollars
                                                           = 0.35 * 64.99 dollars
                                                           = 22.746 dollars
                                                           = 22.75 dollars
Then
Price of the red heels after discount = (64.99 - 22.75) dollars
                                                           = 42.24 dollars
Percentage of sales tax that needs to be given by Claire = 7.5%
Amount of sales tax that needs to be given by Claire = (7.5/100) * 42.24 dollars
                                                                                     = 316.80/100 dollars
                                                                                     = 3.168 dollars
                                                                                     = 3.17 dollars
Then
The total price of the
red heels that Claire has to pay = (42.24 + 3.17) dollars
                                                   = 45.41 dollars
So Claire has to pay a total of $45.41 for the pair of red heels she has fallen in love with.
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(a) For the stem-and-leaf plot, we need to organise all data in columns, one column is the stem and a second column is the leaf, but in this case, stems are going to be the digits to the left of the decimal point, and leafs are the digits to the right of the decimal point:

<u>Stem</u>            <u> Leaf </u>

0             2 2 2 3 3 4 5 7

1              0 2 3 5 5 8

2             0 3 5

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4             0 5 7

5             0 5 6 9

6             0 0 0 5

(b) Relative frequency distribution.

Remember that, a relative frequency is calculated dividing the absolute frequency by the total data, in this case, we approximated to the hundredth.

Length of life    Absolute Frequency      Relative Frequency     % Relative Freq.

0.2                              3                                        0.1                                10

0.3                              2                                        0.07                              7

0.4                              1                                         0.03                              3

0.5                              1                                         0.03                              3

0.7                              1                                         0.03                              3

1.0                               1                                         0.03                              3

1.2                               1                                         0.03                              3

1.3                               1                                         0.03                              3

1.5                               2                                        0.07                              7

1.8                               1                                         0.03                              3

2.0                              1                                         0.03                              3

2.3                              1                                         0.03                              3

2.5                              1                                         0.03                              3

3.0                              1                                         0.03                              3

3.3                              1                                         0.03                              3

4.0                              1                                         0.03                              3

4.5                              1                                         0.03                              3

4.7                              1                                         0.03                              3

5.0                              1                                         0.03                              3

5.5                              1                                         0.03                              3

5.6                              1                                         0.03                              3

5.9                              1                                         0.03                              3

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6.5                              1                                         0.03                              3

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Step 2: Square each result.

Step 3: Add the squared deviations.

Step 4: Divide the sum by one less the total.

Step 5: Take the square root, and there you have it.

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