90 < [( n + n + 2 + n + 4) / 2] < 105
90 < (3n + 6) / 2 < 105
3n + 6 > 180 and 3n + 6 < 210
n > 58 , n < 68
58 < n < 68 answer
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
Area of rectangle = 6 x 7 = 42
area of triangle = 1/2(3)(6) = 9
area of figure = 42 + 9 = 51
answer
51 <span>in²</span>
Answer:
150 by 100
Step-by-step explanation:
Simplified would be : (3x^2 - 1) * (4x - 3)