Determine the number of solutions for the quadratic function f(x) = -x^2 + 3x - 9.
1 answer:
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Answer:
The area of the shaded region is about 58.9 square inches.
Step-by-step explanation:
To solve this question, let's recall some facts.
We know that the area of a circle can be defined as the following:
where r is the radius of the circle.
We too know that circles have a diameter and a radius. The diameter of a circle is the distance a line that connects two points on a circle with its center, and the radius is half of the diameter.
We also know that figures can touch each other, or be in tangent with each other. For the sake of simplicity, we're going to assume that the shaded circles are in tangent with each other, or touch each other. Because they touch each other, these three circles can share 5 in. of the 15 in. rectangle. This means that the circles are 5 in. in diameter, or 2.5 in in radius.
Now, we can solve the problem.
Because we have 3 circles, each with 2.5 in. radii, we can have the following expression which represents the total area of these circles:
After approximation, I can conclude that the area of the shaded region is 58.9 square inches.
Answer:
Check the explanation
Step-by-step explanation:
:proportion of male smoker lung deaths is same for the four given tar level categories.
:proportion of male smoker lung deaths is not the same for the four given tar level categories.
Expected frequency=1177/4=294.25
Tar level Observed Freq.(O) Expected Freq.(E) (O-E)^2/E
0-7 107 294.25 120.435
8-14 375 294.25 5.643
15-21 553 294.25 227.533
>=22 183 294.25 42.061
Total= 1177 1177 395.673
Total chi square score=395.673
df=4-1=3
p-value=CHIDIST(395.673,3)<0.001
p-value<0.001,Reject null hypothesis.
There is sufficient evidence that the proportion of male smoker lung deaths is not the same for the four given tar level categories.
