Let S and T be two disjoint subsets of size n > 1 of a finite universe U. Suppose we select a random subset R ⊆ U by independently including each element of U with probability p. We say that the sample is good if it contains an element of T but no element of S. Show that when p = 1/n, the probability our sample is good is larger than some positive constant (independent of n). You may use the fact that for all x, n ∈ R such that n ≥ 1 and |x| ≤ n,

parallel and congruent

step-by-step explanation:

the movement of translation is linear.   these have the same translation because you are using the same rule for each point of the triangle so you will see the same slope being used to get from a point on the triangle to its image.

same slope!   you should think parallel when you see those 2 word together (well unless it's the same line but it can't be because we are coming from different points here)

congruent! because each point is being moved the same distance.

2 5/8 is the final answer! : )

a; x = 0.5

step-by-step explanation:

-10x = -5

x = 0.5

1. 3. can also be expressed as (22/7)

2. -4.5

3. 3.6

happy to

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