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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