Answer:
356.9 cm² is the answer.
Step-by-step explanation:
The area of the figure can be derived by adding the area of the rectangle and the area of half circle or semicircle.
Length of rectangle = 20 cm
Width of rectangle = 14 cm
So, area is = cm square
Now for semicircle, the radius will be = cm
The area can be found as :
=
= 76.93 cm square
Now adding both the areas, we get the complete area of the figure.
Total area = cm square ≈ 356.9 cm square.
Answer:
(a) 0.1414
(b) 0.1010
Step-by-step explanation:
(a)
The density curve is rectangular in shape.
This implies that the distribution of donations is Uniform.
(b)
Compute the probability of donations at least 85 cents as follows:
Thus, the proportion of donations that are at least 85 cents is 0.1414.
(b)
Compute the probability of donations between 30 and 40 cents as follows:
Thus, the probability of donations between 30 and 40 cents is 0.1010.
Answer:
Explanation:
This is the given system of equations:
A linear combination of the system is any equation formed by the algebraic addition of both equations, one or both multiplied by an arbitrary constant.
To prove that the given system has no solution you could multiply the first equation times 6 (to get rid of the fractions), multiply the second equation times - 1, and add the two results:
<u>1. First equation times 6:</u>
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<u>2. Second equation times - 1:</u>
<u />
<u>3. Add the two new equations:</u>
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<u>4. Conclusion:</u>
Since 0 = 78 is false, no matter what the value of x and y are, the conclusion is that the system of equations has not solution.
The only choice that represents that same situation is the second one, 0 = 26. That is a possible linear combination that represents that the system of equations has no solutions.
In fact, you might calculate the exact factors by which you had to multiply each one of the original equations to get 0 = 26, but it is not necessary to tell that that option represents a possible linear combination for the given system of equations.