Answer:
The expression representing Area of garden is
.
Step-by-step explanation:
Given:
Width of garden = ![x-3\ ft](https://tex.z-dn.net/?f=x-3%5C%20ft)
the length of the garden is 1 foot longer than the width
Hence length of garden = ![x-3+1=x-2\ ft](https://tex.z-dn.net/?f=x-3%2B1%3Dx-2%5C%20ft)
We need to find the expression for area of garden.
Area of rectangular garden can be calculated as length times width.
Framing in equation form we get;
Area of Garden = ![(x-3)(x-2)](https://tex.z-dn.net/?f=%28x-3%29%28x-2%29)
Solving the equation we get;
Area of Garden =![x^2-2x-3x+6 = x^2-5x+6](https://tex.z-dn.net/?f=x%5E2-2x-3x%2B6%20%3D%20x%5E2-5x%2B6)
Hence The expression representing Area of garden is
.
Answer:
I think it's the first three choices
The answer that goes in the blank is: 3
Note: The "pi" portion is already taken care of, so there's no need to enter it in the box.
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Explanation:
The distance around the entire circle is found by the circumference formula
C = 2*pi*r
where r is the radius.
In this case, r = 27, so,
C = 2*pi*r
C = 2*pi*27
C = 2*27*pi
C = 54*pi
The full distance around the circle is exactly 54pi units
We only want a small portion of it. We only want 20/360 = 2/36 = 1/18 of that distance
So multiply (1/18) by 54pi and we get...
(1/18)*(54pi) = (54/18)*pi = 3pi
So the length along the curve from A to B (or vice versa) is exactly 3pi units.
Complete Question
A certain university estimated that the proportion of students who prefer 2 day a week classes to 1 day a week classes was somewhere in the interval (0.451, 0.872) . If a 95% confidence interval was used, find the point estimate of the proportion and the margin of error
Answer:
The point estimate is ![\^ p =0.6615](https://tex.z-dn.net/?f=%5C%5E%20p%20%3D0.6615)
The margin of error is ![E = 0.2105](https://tex.z-dn.net/?f=E%20%3D%200.2105)
Step-by-step explanation:
From the question we are that
The estimate of the proportion of students who prefer 2 day a week classes to 1 day a week classes is (0.451, 0.872)
Generally the point estimate is mathematically represented as
![\^ p = \frac{ 0.872 + 0.451 }{2}](https://tex.z-dn.net/?f=%5C%5E%20p%20%3D%20%5Cfrac%7B%200.872%20%2B%200.451%20%7D%7B2%7D)
=> ![\^ p =0.6615](https://tex.z-dn.net/?f=%5C%5E%20p%20%3D0.6615)
Generally the margin of error is mathematically represented as
![E = \frac{0.872 - 0.451}{2}](https://tex.z-dn.net/?f=E%20%3D%20%20%5Cfrac%7B0.872%20-%200.451%7D%7B2%7D)
=> ![E = 0.2105](https://tex.z-dn.net/?f=E%20%3D%200.2105)