Answer:
13197
Step-by-step explanation:
You have to do 24.9*2 and then find that percent of 26500
The dimensions of the garden that will require the least amount of fencing are 450 m and 900 m and the perimeter of the area is 1800 m.
<h3>What is the area of the rectangle?</h3>
It is defined as the area occupied by the rectangle in two-dimensional planner geometry.
The area of a rectangle can be calculated using the following formula:
Rectangle area = length x width
Let's suppose x and y are the sides of the rectangular garden and y is the parallel to the river.
Then according to the problem:
2x + y = P ..(1)
P is the perimeter of the rectangle.
xy = 405000 (area of the rectangle)
Plug the value of y in the equation (1) from the above equation.
P(x) = 2x + 405000/x
P'(x) = x—405000/x² = 0
x = 450 m
P''(x) > 0 hence at x = 450 the value of P(x) is minimum.
y = 405000/450
y = 900 m
P(min) = 1800 m
Thus, the dimensions of the garden that will require the least amount of fencing are 450 m and 900 m and the perimeter of the area is 1800 m.
Learn more about the rectangle here:
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Answer:
A.

Step-by-step explanation:
From the given information.
The proportion of American Millennials still with their parents = 0.36
The sample size = 300
Sample proportion = 0.43
Level of significance = 0.006
P-value = 0.006
Null hypothesis:



The required task is to determine the assumption about the sample that underlies the hypothesis test from the given options.
A.

This is because the student wants to check if the null hypothesis ( which states that of Millennial students at their campus, 36% live at home with their parents) is correct or not.
Answer:
the drop in the level of water in the container is 2.03 cm
Step-by-step explanation:
The volume of a cylinder can be written as;

the change in height when the volume changes can be derived by differentiating the equation.

substituting the given values;


the drop in the level of water in the container is 2.03 cm
Answer: 


Step-by-step explanation:
To find: The vector parametric equations for the line through the points (−1,−4,2) and (−1,0,−3).
Let A (−1,−4,2) and B(−1,0,−3)
First we find direction vectors : 

Now, the parametric equations of the line:



Hence, the vector parametric equations for the line through the points (−1,−4,2) and (−1,0,−3):


