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Mathematics, 04.10.2019 23:20, raveransaw
Show that if one event a is contained in another event b (i. e., a is a subset of b), then p(a) ≤ p(b). [hint: for such a and b, a and b ∩ a' are disjoint and b = a ∪ (b ∩ a'), as can be seen from a venn diagram.] since a is contained in b, we may write b as , the union of two mutually exclusive events. then p(b) = and p(b) = . then, since it follows that p(b) ≥ . this proves the statement. for general a and b, what does this imply about the relationship among p(a ∩ b), p(a) and p(a ∪ b)? p(a) ≤ p(a ∩ b) ≤ p(a ∪ b) p(a ∪ b) ≤ p(a ∩ b) ≤ p(a) p(a) ≤ p(a ∪ b) ≤ p(a ∩ b) p(a ∩ b) ≤ p(a) ≤ p(a ∪ b) p(a ∩ b) ≤ p(a ∪ b) ≤ p(a)
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Mathematics, 21.06.2019 22:30, sonaihriley
Abucket of paint has spilled on a tile floor. the paint flow can be expressed with the function p(t) = 6(t), where t represents time in minutes and p represents how far the paint is spreading. the flowing paint is creating a circular pattern on the tile. the area of the pattern can be expressed as a(p) = 3.14(p)^2 part a: find the area of the circle of spilled paint as a function of time, or a[p(t)]. show your work. part b: how large is the area of spilled paint after 8 minutes? you may use 3.14 to approximate pi in this problem.
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Mathematics, 21.06.2019 23:30, aherrerasmile1
Scenario: a rectangular plot of ground is 5 meters longer than it is wide. its area is 20,000 square meters. question: what equation will you find the dimensions? note: let w represent the width. options: w(w+5)=20,000 w^2=20,000+5 (w(w+5))/2=20,000 w+2(w+5)=20,000
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Mathematics, 22.06.2019 01:30, treestump090
Fill in the missing exponents in each box and show how you found the answer. (4 points: 2 points for each correct answer with work shown) c. (9^4)^? =9^1 d.(5^? )^3=5^1 *question marks represent the boxes
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Show that if one event a is contained in another event b (i. e., a is a subset of b), then p(a) ≤ p(...
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