Answer: Cola is more profitable over Coffee
Step-by-step explanation:
E(cola) = 0.3 * 1500 + 0.7 * 5000
E(cola) = 450 + 3500
E(cola) = 3950
E(coffee) = 0.3 * 4000 + 0.7 * 1000
E(coffee) = 1200 + 700
E(coffee) = 1900
From the decision tree which is attached, and the calculations above, it would be advised that the firm should focus on Cola, since it has a higher expected revenue of $3950, compared to the expected revenue of $1900 for coffee.
See the attached image for the decision tree
The sum of the measures of the angles of a triangle is 180 degrees.
An isosceles triangle has two congruent sides.
The angles opposite the congruent sides are congruent.
Just like the bottom left angle measures x, the bottom right angle also measures x.
x + x + 38 = 180
2x + 38 = 180
2x = 142
x = 71
The answer is: " 471 cm² " .
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The formula for the surface area, "S.A.", of a "cylinder":
S.A. = 2 π r² + 2 π r h ;
in which:
"S.A." = "surface area" of the cylinder; for which we wish to solve;
π = 3.14 (approximation we shall use) ;
r = radius = 5 cm (given; from figure);
h = height = 2 cm (given; from figure);
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To solve for the surface area, "S.A." . let us plug in our known values, and solve:
S.A. = 2 π r² + 2 π r h ;
S.A. = 2 * (3.14) * (5 cm)² + 2 * (3.14) * (5 cm) * 10 cm) ;
= 2 * (3.14) * (5²) * (cm²) + 2 * (3.14) * 5* 10 * cm² ;
= 2 * (3.14) * (25) * (cm²) + 2 * (3.14) * 5* 10 * cm² ;
= 157 cm² + 314 cm² ;
= 471 cm² .
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The answer is: " 471 cm² " .
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This is actually an easy one.
4 day= 24 hours X 4 = 96 hrs.
4560 = 96 hrs.
4560/96 = per hr.
47.5 watts per hr.
Since 1 day = 24 hrs, 47.5 X 24 = 1140 Watts per day.
See? Simple and easy if you solve parts at a time!
Answer:
V = 8.06 cubed units
Step-by-step explanation:
You have the following curves:
In order to calculate the solid of revolution bounded by the previous curves and the x axis, you use the following formula:
![V=\pi \int_a^b [(g(x))^2-(f(x))^2]dx](https://tex.z-dn.net/?f=V%3D%5Cpi%20%5Cint_a%5Eb%20%5B%28g%28x%29%29%5E2-%28f%28x%29%29%5E2%5Ddx)
(1)
To determine the limits of the integral you equal both curves f=g and solve for x:
Then, the limits are a = -1 and b = 1
You replace f(x), g(x), a and b in the equation (1):
![V=\pi \int_{-1}^{1}[(\frac{13}{9}-x^2)^2-(\frac{4}{9}x^2)^2]dx\\\\V=\pi \int_{-1}^1[\frac{169}{81}-\frac{26}{9}x^2+x^4-\frac{16}{81}x^4]dx\\\\V=\pi \int_{-1}^1 [\frac{169}{81}-\frac{26}{9}x^2+\frac{65}{81}x^4]dx\\\\V=\pi [\frac{169}{81}x-\frac{26}{27}x^3+\frac{65}{405}x^5]_{-1}^1\\\\V\approx8.06\ cubed\ units](https://tex.z-dn.net/?f=V%3D%5Cpi%20%5Cint_%7B-1%7D%5E%7B1%7D%5B%28%5Cfrac%7B13%7D%7B9%7D-x%5E2%29%5E2-%28%5Cfrac%7B4%7D%7B9%7Dx%5E2%29%5E2%5Ddx%5C%5C%5C%5CV%3D%5Cpi%20%5Cint_%7B-1%7D%5E1%5B%5Cfrac%7B169%7D%7B81%7D-%5Cfrac%7B26%7D%7B9%7Dx%5E2%2Bx%5E4-%5Cfrac%7B16%7D%7B81%7Dx%5E4%5Ddx%5C%5C%5C%5CV%3D%5Cpi%20%5Cint_%7B-1%7D%5E1%20%5B%5Cfrac%7B169%7D%7B81%7D-%5Cfrac%7B26%7D%7B9%7Dx%5E2%2B%5Cfrac%7B65%7D%7B81%7Dx%5E4%5Ddx%5C%5C%5C%5CV%3D%5Cpi%20%5B%5Cfrac%7B169%7D%7B81%7Dx-%5Cfrac%7B26%7D%7B27%7Dx%5E3%2B%5Cfrac%7B65%7D%7B405%7Dx%5E5%5D_%7B-1%7D%5E1%5C%5C%5C%5CV%5Capprox8.06%5C%20cubed%5C%20units)
The volume of the solid of revolution is approximately 8.06 cubed units
