What is the median value of the data set shown on the line plot?
1 answer:
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Answer:
a) 3, 6, 9, 12, 15,...,, b) 4, 7, 10, 13, 16,...,
, c) Both sequences are arithmetic.
Step-by-step explanation:
a) The sequence of natural numbers which are multiplied by 3 are represented by the function ,
. Let see the first five elements of the sequence: 3, 6, 9, 12, 15,...
b) The sequence of natural numbers which are multiplied by 3 and added to 1 is represented by the function ,
. Let see the first five elements of the sequence: 4, 7, 10, 13, 16,...
c) Both sequences since differences between consecutive elements is constant. Let prove this statement:
(i)
(ii)
Both sequences are arithmetic.
In radical form, the shortest distance from ( -4 , 4 ) and the line y = -2x + 6 is 2√5 units.
Attached below is the calculation to arrive at the answer as well as a graph.
Attached below is the calculation to arrive at the answer as well as a graph.