Answer:
1250 m²
Step-by-step explanation:
Let x and y denote the sides of the rectangular research plot.
Thus, area is;
A = xy
Now, we are told that end of the plot already has an erected wall. This means we are left with 3 sides to work with.
Thus, if y is the erected wall, and we are using 100m wire for the remaining sides, it means;
2x + y = 100
Thus, y = 100 - 2x
Since A = xy
We have; A = x(100 - 2x)
A = 100x - 2x²
At maximum area, dA/dx = 0.thus;
dA/dx = 100 - 4x
-4x + 100 = 0
4x = 100
x = 100/4
x = 25
Let's confirm if it is maximum from d²A/dx²
d²A/dx² = -4. This is less than 0 and thus it's maximum.
Let's plug in 25 for x in the area equation;
A_max = 25(100 - 2(25))
A_max = 1250 m²
Question options :
a. They should be between 64 and 76 inches tall.
b. They should be close to the height that is 95% of the mean. That is, 66.5 inches, plus or minus 2 standard deviations.
c. They should be at or below the 95th percentile, which is 74.92 inches.
d. None of the above.
Answer: a. They should be between 64 and 76 inches tall.
Step-by-step explanation:
Given the following :
Assume men's height follow a normal curve ; and :
Mean height = 70 inches
Standard deviation= 3 inches
According to the empirical rule ;
Assuming a normal distribution with x being random variables ;
About 68% of x-values lie between -1 to 1 standard deviation of the mean. With about 95% of the x values lying between - 2 and +2 standard deviation of mean. With 99.7% falling between - 3 to 3 standard deviations from the mean.
Using the empirical rule :
95% will fall between + or - 2 standard deviation of the mean.
Lower limit = - 2(3) = - 6
Upper limit = 2(3) = 6
(-6+mean) and (+6+ mean)
(-6 + 70) and (6+70)
64 and 76
Answer:
1.) ax^2 + bx+ c =0
2.) parabola
3.) X=-b2a
4.) maximum
5.) minimum
Step-by-step explanation: hope this helps
Answer: 
of quinoa, 
of flaxseed, 
of soy protein.
Step-by-step explanation:
<h3>
The missing table is attached.</h3>
Let be "q" the amount of cups of quinoa you'd need to use making the granolas with 3 cups of oats.
Based on the table you can write the following proportion:
Solving for "q", you get:
Let be "f" the amount of cups of flaxseed you'd need to use making the granolas with 3 cups of oats.
With the data given in the table you can write the following proportion:
Solving for "f", you get:
Let be "s" the amount of cups of soy protein you'd need to use making the granolas with 3 cups of oats.
Using the table you can write this proportion:
Solving for "s", you get:
Answer:
4/5
Step-by-step explanation:
0.35 + 0.2 + 0.25 = 0.80
