Question: The mathematical model for learning an assembly-line procedure needed for assembling one component of a manufactured item isn=5ln(0.9 P 1) n = 5 ln 0.9

The mathematical model for learning an assembly-line procedure needed for assembling one component of a manufactured item isn=5ln(0.9

P

1)

n

=

5

ln

0.9

P

1

whereP

P

is the proportion of correctly assembled components aftern

n

practice sessions.

Solve the equation forP

P

to nd an equation for the proportion of correctly assembled components in terms of the number of practice sessionsn.

n

.

P=0.9

(e

5

n

+1)

P

=

0.9

(

e

5

n

+

1

)

P=0.9

(e

5n

+1)

P

=

0.9

(

e

5

n

+

1

)

P=0.9(e

n

5

+1)

P

=

0.9

(

e

n

5

+

1

)

P=0.9

(e

n

5

+1)

P

=

0.9

(

e

n

5

+

1

)

P=0.9

(e

n

5

+1)

P

=

0.9

(

e

n

5

+

1

)

Use the model to predict the percent of components that will be correctly assembled after4

4

practice sessions.

If the answer is not an integer, enter it as a decimal. Round to the nearest hundredth of a percent, if needed.

The percent of correctly assembled components is%.

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