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Brilliant_brown [7]
4 years ago
12

Let n be a positive integer. We sample n numbers a1, a2,..., an from the set {1,...,n} uniformly at random, with replacement. We

say that picks i and j with i < j are a match if ai = aj.
What is the expected total number of matches?

Mathematics
1 answer:
zepelin [54]4 years ago
4 0

Answer:

Step-by-step explanation:

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Solve by quadratic formula:<br> 3x^2 - 10x - 20= 0
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5 0
3 years ago
Two trains leave New York at the same time heading in opposite directions. Train A travels at 4/5 the speed of train one. After
grandymaker [24]
<h3>Answer:  </h3><h3>speed of train A = 44 mph</h3>

=============================================

Work Shown:

x = speed of train A

y = speed of train B

"train A travels 4/5 the speed of train B" (I'm assuming "train one" is supposed to read "train B"). So this means x = (4/5)y

distance = rate*time

d = x*7

d = (4/5)y*7 = (28/5)y represents the distance train A travels

d = y*7 = 7y represents the distance train B travels

summing those distances will give us 693

(28/5)y + 7y = 693

5*(  (28/5)y + 7y ) = 5*693

28y + 35y = 3465

63y = 3465

y = 3465/63

y = 55

Train B's speed is 55 mph

4/5 of that is (4/5)y = (4/5)*55 = 4*11 = 44 mph

Train A's speed is 44 mph

8 0
3 years ago
Write the equation in standard form for the circle with center (0, -1) and radius 10.
BARSIC [14]

Answer:

x^2 + (y+1)^2 = 10^2

Step-by-step explanation:

Centre (p,q) = (0, -1)

radius, r = 10

General Equation of a circle

(x-p)^2 + (y-q)^2 = r^2

(x-0)^2 + (y- -1)^2 = 10^2

x^2 + (y+1)^2 = 10^2

7 0
3 years ago
Mark tossed six balls while playing number game. Three balls landed in one section and three balls landed in another section, hi
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The answer is 3 for sure 100%sure
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3 years ago
LAST ATTEMPT MARKING AS BRAINLIEST!! (Graph the image of the figure using the dilation given)
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L’ (4.5,0) J’(-4.5, -4.5) K’(-4.5,4.5) i think
5 0
2 years ago
Read 2 more answers
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