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Talja [164]
1 year ago
15

1. Find the area of the shaded area of this figure:

Mathematics
1 answer:
statuscvo [17]1 year ago
8 0
(area of square) - (area of triangle)

We know the are of a square is equal to s^2, where s is the side length.

While the are of a right angle tringle is 1/2*base*height

Then we have,

s = 10
base = 4
height = 4

(area of square) - (area of triangle)

=> (10^2) - (1/2)(4)(4)
=> 100 - 8
=> 92

Finally we get: 92 in^2
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The age distribution of students at a community college is given below. Age (years) Number of students (f) Under 21 2890 21-24 2
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Answer:

Are the events A and B disjoint? Yes

Step-by-step explanation:

Disjoint events are those events that cannot occur at the same time, i.e. for events <em>X</em> and <em>Y</em> to be disjoint, P(X\cap Y)=0.

The event <em>A</em> is defined as the number of students whose age is at most 32.

And event <em>B</em> is defined as the number of students whose age is at least 37.

The events <em>A</em> and <em>B</em> are disjoint events.

  • The sample space for event <em>A</em> consists of all the students of age group (under 21), (21 - 24), (25 - 28) and (29 - 32).
  • Whereas the sample space for event <em>B</em> consists of all the students of age group (33 - 36), (37 - 40) and (Over 40).

The sample space for the intersection of these two events is:

Sample space of (<em>A</em> ∩ <em>B</em>) = 0

As there are no common terms in both the sample.

Hence proved, events <em>A </em> and <em>B</em> are disjoint.

3 0
3 years ago
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X=12 because 12 times 12 equals 144 or 12 to the power of two equals 144

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