Answer and work down below. Let me know if you have any questions
Answer:
Step-by-step explanation:
The area of a rectangle can be calculated with this formula:
Where "l" is the length and "w" is the width.
The area of a triangle can be found using the following formula:
Where "b" is the base of the triangle and "h" is the height.
You can observe that the figure is formed by three different rectangles, Using the formulas, you ge that the area of each rectangle is:
The triangles are equal, then, using the formula shown above, you get that the area of each of them is:
Adding all the areas, you get that the surface area of the figure is:
to find area, multiply base x height, or length x width
In this case:
(x + 4)(x + 3)
Solve by foiling.
(x + 4)(x + 3) = x² + 3x + 4x + 12
Simplify
x² + 3x + 4x + 12 = x² + 7x + 12
x² + 7x + 12 is your answer
hope this helps
Answer:
P(F/W)= 0.5/(1-0.5^N)
Step-by-step explanation:
Since each component is independent of the others then the probability that the system works:
P(W) = probability that the system works = 1 - probability that the system do not work
the system will not work only if the N components fail , then
probability that the system do not work= (1-p)^N
where
p= probability that a component works = 0.5
thus
P(W)= 1- (1-p)^N = 1 - 0.5^N
then we can use the theorem of Bayes for conditional probability . Defining the event F= the component 1 works , then
P(F/W)=P(F∩W)/P(W)=P(F)/P(W)= 0.5/(1-0.5^N)
P(F/W)= 0.5/(1-0.5^N)
where
P(F/W)= probability that component 1 works, given that the system is functioning
P(F∩W) = probability that the component 1 works and system functions = P(F) (if the component 1 works , the system will automatically work)
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