Determine if the triangles are congruent
1 answer:
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Answer:
E(x)=0.15
V(x)=0.3075
S(x)=0.5545
Step-by-step explanation:
The mean of a discrete variable is calculated as:
where are the values that the variable can take and
are their respective probabilities.
So, if we call x the number of defective transistors in cartons, we can calculate the mean E(x) as:
Because there are 0 defective transistor with a probability of 0.92, 1 defective transistor with a probability of 0.03, 2 defective transistors with a probability of 0.03 and 3 defective transistors with a probability of 0.01.
At the same way, the variance V(x) is calculated as:
Where
So, the variance V(x) is equal to:
Finally, the standard deviation is calculated as:
The area of the composite figure from the image attached is 112.5 units²
<h3>What is the area of a composite figure?</h3>The area of a composite figure refers to the sum total of all the areas of the shapes in that composite figure. This can be done by first identifying the shapes in that composite figure, then finding each area, followed by the addition of all the areas to determine the area of the composite figure.
From the given figure; we can break it down into:
- A parallelogram
- A rectangle
- A triangle
The area of a parallelogram = b × h
where;
- b & h refers to the length of the two opposite diagonal lines.
The area of a parallelogram = 9 × 6
The area of a parallelogram = 54 units²
The area of a rectangle = Length × breadth
The area of a rectangle = (9 × 3) units²
The area of a rectangle = 27 units²
The area of the triangle
where;
- Base = b
- Height = h
The area of the triangle
The area of the triangle
The area of the triangle
Therefore, the area of the composite figure is:
= 54 + 27 + 31.5
= 112.5 units²
Learn more about composite figures here: