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Answer: at most 15 pairs of socks
Step-by-step explanation:
Let the number of pair of socks of her sister be , and let the number of pairs Lucy has be
.
Since , Lucy has 4 more than 1/3 the number of pairs of socks as her sister, this means that
.............................. equation 1
Also , Lucy has at most 9 pairs of socks , this means that
....................................... equation 2
Equating the two equations , we have
multiply through by 3
subtract 12 from both sides
Therefore , the sister has at most 15 pairs of socks
Answer:
Standard deviation of given data = 3.16227
Step-by-step explanation:
<u><em>Step(i)</em></u>:-
Given sample size 'n' = 5
Given data 4, 6,8,10,12
Mean of the sample x⁻ = 8
Standard deviation of the sample
<u><em>Step(ii)</em></u>:-
Given data
x : 4 6 8 10 12
x-x⁻ : 4 - 8 6-8 8-8 10-8 12-8
(x-x⁻) : -4 -2 0 2 4
(x-x⁻)² : 16 4 0 4 16
S.D = √10 = 3.16227
<u><em> Final answer</em></u>:-
The standard deviation = 3.16227