Identify the sampling technique used: A lobbyist for a major airspace firm assigns a number to each legislator and then uses a c
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Answer:
Area the figure = 45 - 9 = 36 units² ⇒ last answer
Step-by-step explanation:
<em>"I have added screenshot of the complete question as well as the diagram"</em>
All the angles of the figure are right angles
<u>From the attached figure:</u> <em>we can find the area of the figure by subtracting the area of the cutting part from the area of the rectangle of dimensions 9 units and 5 units</em>
∵ All the angles of the figure are right angles
∴ We can consider that the figure of dimensions 9 units and 5 units
as a rectangle
∵ Area of any rectangle A = L × H , where L, H are the dimensions
of the rectangle
∵ L = 9 units and H = 5 units
∴ Area of the rectangle = 9 × 5 = 45 units²
- The dimensions of the cutting part are 3 units and
[9 - (2 + 4) = 9 - 6 = 3 units]
∴ The cutting part is a square
∵ Area any square = S², where S is the length of the side of the square
∵ S = 3 units
∴ The area of the cutting part = 3² = 9 units²
∵ Area of the figure = area rectangle - area square
∵ Area the rectangle = 45 units²
∴ Area the square = 9 unit²
∴ Area the figure = 45 - 9 = 36 units²
The problem can be solved step by step, if we know certain basic rules of summation. Following rules assume summation limits are identical.
Armed with the above rules, we can split up the summation into simple terms:
=> (a) f(x)=28n-n^2
=> f'(x)=28-2n
=> at f'(x)=0 => x=14
Since f''(x)=-2 <0 therefore f(14) is a maximum
(b) f(x) is a maximum when n=14
(c) the maximum value of f(x) is f(14)=196
Armed with the above rules, we can split up the summation into simple terms:
=> (a) f(x)=28n-n^2
=> f'(x)=28-2n
=> at f'(x)=0 => x=14
Since f''(x)=-2 <0 therefore f(14) is a maximum
(b) f(x) is a maximum when n=14
(c) the maximum value of f(x) is f(14)=196