If you choose one student at random, what is the probability (±0.0001) that the student's score is between 20 and 30?
1 answer:
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Answer:
140
Step-by-step explanation:
To construct a subset of S with said property, we have two choices, include 3 in the subset or include four in the subset. These events are mutually exclusive because 3 and 4 can not both be elements of the subset.
First, let's count the number of subsets that contain the element 3.
Any of such subsets has five elements, but since 3 is already an element, we only have to select four elements to complete it. The four elements must be different from 3 and 4 (3 cannot be selected twice and the condition does not allow to select 4), so there are eight elements to select from. The number of ways of doing this is .
Now, let's count the number of subsets that contain the element 4.
4 is already an element thus we have to select other four elements . The four elements must be different from 3 and 4 (4 cannot be selected twice and the condition does not allow to select 3), so there are eight elements to select from, so this can be done in ways.
We conclude that there are 70+70=140 required subsets of S.
Answer:
Step-by-step explanation:
This shape is actually just a rectangle with a missing triangle. We can first find the area of the rectangle with and subtract the triangle.
Area of missing triangle = (b is the base and h is the height)
Base =
Height =
Area of missing triangle =
Area of the figure:
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Alternatively, you can find the area of each individual shape and add them all up.
Area of the rectangle:
Area of square:
Area of triangle:
Total Area: