Answer:
the mean is 57.5 the median is 44.5 and the mode is 47
Step-by-step explanation:
the mode is 47 cuz it appeared twice. the median is 57.5 bc 47+147+24+47+38+42=345 and 345/6 is 57.5
Answer:
Step-by-step explanation:
f(-9+h)= (-9+h)² = h²-18h+81
f(-9+h)-f(-9)=h²-18h+81 -81 because : f(-9) = (-9)² = 81
f(-9+h)-f(-9)=h²-18h
(f(-9+h)-f(-9))/h=(h²-18h)/h = h(h-18)/h =h-18
lim (f(-9+h)-f(-9))/h = lim(h-18= - 18
h→0 h→0
Answer:
400 m^2.
Step-by-step explanation:
The largest area is obtained where the enclosure is a square.
I think that's the right answer because a square is a special form of a rectangle.
So the square would be 20 * 20 = 400 m^2.
Proof:
Let the sides of the rectangle be x and y m long
The area A = xy.
Also the perimeter 2x + 2y = 80
x + y = 40
y = 40 - x.
So substituting for y in A = xy:-
A = x(40 - x)
A = 40x - x^2
For maximum value of A we find the derivative and equate it to 0:
derivative A' = 40 - 2x = 0
2x = 40
x = 20.
So y = 40 - x
= 40 - 20
=20
x and y are the same value so x = y.
Therefore for maximum area the rectangle is a square.
Answer:
B
Step-by-step explanation:
