Answer:
option (A) 900 ft²
Step-by-step explanation:
Let the length be L and width of the area be 'B'
now,
Perimeter of the fence = 2 (L + B)
also,
2 (L + B) = 120 feet
or
L + B = 60 ft
or
L = 60 - B ft
Now,
The area of the fencing ground, A = LB
or
A = (60 - B)B
A = 60B - B²
now,
differentiating the area with respect to width B, we get
or
= 60 - 2B
for point of maxima or minima, put = 0
thus,
60 - 2B = 0
or
2B = 60
or
B = 30 ft
to check for maxima or minima
= - 2
since,
is negative, B = 30 ft is point of maxima
therefore,
L = 60 - B = 60 - 30 = 30 ft
Thus,
Maximum area of the fencing ground = 30 × 30 = 900 ft²
Hence,
The correct answer is option (A) 900 ft²
0 = 4y^3 -12y^2 -40y
0 = (4y^2 -12y -40)y
0 = (4y^2 + 8 y -20y -40) y
0 = ((4y - 20) (y+2))y
y=0 \/ y= 5 \/ y= -2
The answer would be B because the average rate of change formula calculates slope of lines, or a curve on a given range.it is defines as the ratio of the difference in the function (f/x) as it changes from "a" to "b" and the difference between "a" and "b" so ya answer is B
hope this helps, ~kashout
The proportion of defective corks produced by this machine through z test comes out is 0.320.
Given mean of 2 cm and standard deviation of 0.1 cm, The diameter is between 1.9 and 2.1 cm.
We have to find the proportion of defective corks that are produced by machine.
In this problem we have to first find z score and then we will be able to find the probability of defective corks produced by the machine.
Z=(X-μ)/σ
μ=2 cm and σ=0.1 cm.
Z value corresponding to X=1.9.
Z=(1.9-2)/0.1
=-0.1/0.1
=-1
Z value corresponding to X=2.1.
Z=(2.1-2)/0.1
=0.1/0.1
=1
P value of P(-1<Z<1)=2*0.3410=0.6820
Proportion of corks which are not defective=0.6820.
Proportion of corks which are defective=1-0.680.
=0.320
Hence the proportion of defective corks produced by machine is 0.320.
Learn more about z test at brainly.com/question/14453510
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