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Makovka662 [10]
3 years ago
10

How can I prove Euler's formula graphically?

Mathematics
2 answers:
lawyer [7]3 years ago
5 0

Answer:

We can now prove Euler's formula (v − e + f = 2) works in general, for any connected simple planar graph. Proof: by induction on the number of edges in the graph. Base: If e = 0, the graph consists of a single vertex with a single region surrounding it. So we have 1 − 0 + 1 = 2 which is clearly right.

slamgirl [31]3 years ago
4 0
Don’t know sorry o don’t understand ur question
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PLEASE HELP SKJSDLFSKDJF
charle [14.2K]

45 min is 3/4 of an hour, 3/4 0f 40 km/h=30 km

75km/h x 2hr=150km

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Total time:3hr

180kh/3hr=60km/h

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4 years ago
Urn A contains five white balls and seven black balls. Urn B contains three white balls and four black balls. A ball is drawn fr
12345 [234]

Answer:

0.636

Step-by-step explanation:

Let Aw, Ab, Bw, Bb the following events:

Aw = the ball drawn from urn A is white

Ab = the ball drawn from urn A is black

Bw = the ball drawn from urn B is white

Bb = the ball drawn from urn B is black

the probability that the transferred ball was black given that the second ball drawn was black is P(Ab | Bb)

By the Bayes' Theorem

\bf P(Ab | Bb)=\frac{P(Bb|Ab)P(Ab)}{P(Bb|Ab)P(Ab)+P(Bb|Aw)P(Aw)}=\frac{(5/8)(7/12)}{(5/8)(7/12)+(4/8)(5/12)}

Working out the calculations

\bf P(Ab | Bb)=\frac{P(Bb|Ab)P(Ab)}{P(Bb|Ab)P(Ab)+P(Bb|Aw)P(Aw)}=\frac{(5/8)(7/12)}{(5/8)(7/12)+(4/8)(5/12)}=\\\frac{35/96}{35/96+20/96}=35/55=7/11=0.636

rounded to three decimals

4 0
3 years ago
Find the value s of x and y​
GarryVolchara [31]

Answer:

x = 180-35 = 145

y = 35

Hope it helps

6 0
1 year ago
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