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2 answers:
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The area of the shaded region is 15.453 square units.
Step-by-step explanation:
Step 1:
The given shape consists of a rectangle and two circles.
The length of the rectangle is given as 12 cm. Both the diameters of the circles equal 12 cm. So each circle has a diameter of 6 cm and thus a radius of 3 cm.
The diameter of the circle is equal to the width of the rectangle.
So the rectangle has a length of 12 cm and a width of 6 cm. The circles have radii of 3 cm each.
Step 2:
The area of the rectangle square cm.
The area of each circle square cm.
The area of both circles square cm.
The area of the shaded region is the difference between the area of the rectangle and the area of both circles.
The area of the shaded region square units.
The area of the shaded region is 15.453 square units.
Answer:
a.) P(x = X) =
b.)
c.) 0.00118
Step-by-step explanation:
The sample space Ω = flags of all 50 states
a.) Any one of the flags is randomly chosen. Therefore we can write the
probability measure as P(x = X) = , for all the elements of the sample
space, that is for all x ∈ Ω.
b.) the probability that the class hangs Wisconsin's flag on Monday,
Michigan's flag on Tuesday, and California's flag on Wednesday
=
c.) the probability that Wisconsin's flag will be hung at least two of the three days
= Probability that Wisconsin's flag will be hung on two days + Probability that Wisconsin's flag will be hung on three days
= P(x = 2) + P(x = 3)
=
=
=
= 0.00118