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lubasha [3.4K]
2 years ago
14

Lin is shopping for a couch with her dad and hears him ask the salesperson, “How much is your commission?” The salesperson says

that her commission is 5.5% of the selling price.
How much commission will the salesperson earn by selling a couch for $495?
Mathematics
1 answer:
lys-0071 [83]2 years ago
6 0

Answer:

The salesperson will get $27.23

Step-by-step explanation:

Given that:

Commission of salesperson = 5.5% of selling price

Selling cost of couch = $495

Commission amount = 5.5% of 495

Commission amount = \frac{5.5}{100}*594

Commission amount = 0.055 * 495

Commission Amount = $27.23

Hence,

The salesperson will get $27.23

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The  probability is  P(14 <  X  <  20 ) =  0.5354  

Step-by-step explanation:

From the question we are told that

   The  proportion that live with their parents is  \r p  =  0.142

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      \r  q  =  1 -  \r  p

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The standard deviation is mathematically evaluated as

     \sigma  =  \sqrt{n * \r p  *  \r q }

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     P(14 <  X  <  20 ) =  P( \frac{ 14 -  17.75}{3.90}

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      P(14 <  X  <  20 ) =  P( \frac{ 13.5 -  17.75}{3.90}  < \frac{  X  - \mu }{\sigma } < \frac{ 19.5 -  17.75}{3.90}   )

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    \frac{  X  - \mu }{\sigma }  =  Z  ( The  \ standardized \ value  \  of  X )

    P(14 <  X  <  20 ) =  P( \frac{ 13.5 -  17.75}{3.90}  < Z< \frac{ 19.5 -  17.75}{3.90}   )

     P(14 <  X  <  20 ) =  P( -1.0897   < Z<  0.449 }   )

    P(14 <  X  <  20 ) =   P( Z<  0.449   ) - P(Z  <   -1.0897)

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         P( Z<  0.449   ) =  0.67328

         P(Z  <   -1.0897)  = 0.13792

 P(14 <  X  <  20 ) =   0.67328 -  0.13792    

  P(14 <  X  <  20 ) =  0.5354  

     

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