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A pie company randomly surveys 60 customers to determine which type of pie they would purchase.

The results of the survey are shown.

Favorite Type of Pie

Peach

25%

Apple

331%

Other

20%

Cherry

The company expects to sell 65 cherry pies in March.

Based on the survey results, how many whole peach pies should the company expect to sell in March?

Respuesta :

Answer:

Explained below.

Step-by-step explanation:

Construct the frequency distribution from the percentage distribution as follows:

Favorite Type of Pie         Percentage           Frequency

         Peach                            25%               25% of 60 = 15

         Apple                             31%                31% of 60 = 18.6

         Other                             20%               20% of 60 = 12

        Cherry                            24%                24% of 60 = 14.4

        TOTAL                           100%                       60

It is provided that the company expects to sell 65 cherry pies in March.

The total number of people buying pies is:

[tex]\#\text{People buying Cherry pies}=\#\text{People buying pies}\times 0.24\\\\\#\text{People buying pies}=\frac{65}{0.24}\\\\\#\text{People buying pies}=270.833[/tex]

Now compute the number of peach pies should the company expect to sell in March as follows:

[tex]\#\text{Peach pies expected to be sold}=270.833\times 0.25 =67.7\approx 68[/tex]

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