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starfox5454
22.10.2019 •
Mathematics
Let b =
0 2 1
1 1 2
2 1 1
represent the bus routes between 3 cities.
a. draw an example of a network diagram represented by this matrix.
b. calculate the matrix b2 = b.
c. how many routes are there between city 1 and city 2 with one stop in between?
d. how many routes are there between city 2 and city 2 with one stop in between?
e. how many routes are there between city 3 and city 2 with one stop in between?
f. what is the relationship between your answers to parts (b)–(e)? formulate a conjecture
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Ответ:
a. 1/4
b. 0.25
think long division
4 goes into 1 zero times
4 goes into 10 2 times with 2 left over.
bring down a zero
4 goes into 20 5 times
since a decimal was needed to show the quotient being less than 1, the quotient is 0.25
HOPE IT HELPS: