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Brilliant_brown [7]
3 years ago
9

A heptagon can be divided into how many triangles by drawing all of the diagonals from one vertex?

Mathematics
2 answers:
Ket [755]3 years ago
7 0
To find the sum of the interior angles of a heptagon, divide it up into triangles ... There are five triangles... Because the sum of the angles of each triangle is 180 degrees... We get.
Ostrovityanka [42]3 years ago
3 0
5 on apex. good luck
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Answer:

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Step-by-step explanation:

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Answer:

0.3164 = 31.64% probability the team wins all its conference games

Step-by-step explanation:

For each conference game, there are only two possible outcomes. Either the team wins it, or they lose. The probability of winning a game is independent of any other game. This means that the binomial probability distribution is used to solve this question.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}

In which C_{n,x} is the number of different combinations of x objects from a set of n elements, given by the following formula.

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And p is the probability of X happening.

A football team has a probability of .75 of winning when playing any of the other four teams in its conference.

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If the games are independent, what is the probability the team wins all its conference games?

This is P(X = 4). So

P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}

P(X = 4) = C_{4,4}.(0.75)^{4}.(0.25)^{0} = 0.3164

0.3164 = 31.64% probability the team wins all its conference games

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Step-by-step explanation:

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