The state of Utah appends a ninth digit a 9 to an eight-digit driver’slicense number a 1 a 2 . . . a 8 so that ( 9 a 1 + 8 a 2 + 7 a 3 + 6 a 4 + 5 a 5 + 4 a 6 + 3 a 7 + 2 a 8 + a 9 ) mod 10 = 0 . If you know that the license number 149105267 has exactly one digit incorrect, explain why the error cannot be in position 2, 4, 6, or 8.
The state of Utah appends a ninth digit a 9 to an eight-digit driver’slicense number a 1 a 2 . . . a 8 so that ( 9 a 1 + 8 a 2 + 7 a 3 + 6 a 4 + 5 a 5 + 4 a 6 + 3 a 7 + 2 a 8 + a 9 ) mod 10 = 0 . If you know that the license number 149105267 has exactly one digit incorrect, explain why the error cannot be in position 2, 4, 6, or 8.
Solution Summary: The author explains that the error for the given number cannot be in the even numbered positions. They begin by calculating the dot product of their number with the vector (9,8,7,6,5,4,3,
The state of Utah appends a ninth digit
a
9
to an eight-digit driver’slicense number
a
1
a
2
.
.
.
a
8
so that
(
9
a
1
+
8
a
2
+
7
a
3
+
6
a
4
+
5
a
5
+
4
a
6
+
3
a
7
+
2
a
8
+
a
9
)
mod
10
=
0
. If you know that the license number 149105267 has exactly one digit incorrect, explain why the error cannot be in position 2, 4, 6, or 8.
A research study in the year 2009 found that there were 2760 coyotes
in a given region. The coyote population declined at a rate of 5.8%
each year.
How many fewer coyotes were there in 2024 than in 2015?
Explain in at least one sentence how you solved the problem. Show
your work. Round your answer to the nearest whole number.
Answer the following questions related to the following matrix
A =
3
³).
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