The results of a recent survey indicate that the average new car costs $23,000 with a standard deviation on $3,500. The prices of the car are normally distributed. a. If someone buys a car for $32,000, what proportion of cars cost an equal amount or more than this? b. If someone buys a car for $16,000, what proportion of cars cost an equal amount or more than this?

(a) 0.0051

(b) 0.9773

Step-by-step explanation:

Let X = prices of the car.

It is provided that .

(a)

Compute the value of P (X ≥ 32000) as follows:

Thus, the proportion of cars cost an equal amount or more than $32,000 is 0.0051.

(b)

Compute the value of P (X ≥ 16000) as follows:

Thus, the proportion of cars cost an equal amount or more than $16,000 is 0.9773.

answer:

payment just for service  

→

$

87.12

payment for service including tax

→

$

94.09

explanation:

service only with 20% tip  

→

$

72.6

(

1

+

20

100

)

=

$

87.12

in the opening of the question the word 'service' is associated only with the pretax value.

the closing part of the question asks: how much did she pay for the  

service

−−−−−−  

so technically the answer is  

→

$

72.6

(

1

+

20

100

)

=

$

87.12

however, the intention of the question provider may have been that your answer is to be  

$

87.12

(

1

+

8

100

)

=

$

94.09

to 2 decimal places.

'

payment just for service  

→

$

87.12

payment for service including tax

→

$

94.09

tony b

mar 21, 2017

answer:

trying to explain it another way

explanation:

service charge  

.

→

$

72.60

20% tip  

20

100

×

$

72.60

=

$

14.52

−−−−−−  

←

add

$

87.12

tax  

8

100

×

$

87.12

=

$

6.97

−−−−−  

←

add

$

94.09

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