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Tasya [4]
3 years ago
6

In how many ways can a teacher arrange 6 students in the front row of a classroom with a total of 20 students?

Mathematics
1 answer:
Vikki [24]3 years ago
8 0
This is a combination of 20 studants, 6 to 6:

C_{2,6}=\frac{20!}{(20-6)!6!}=\frac{20!}{14!6!}=\frac{20.19.18.17.16.15.14!}{14!.6.5.4.3.2.1}=38,760 \ ways
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A football team has a probability of .75 of winning when playing any of the other four teams in its conference. If the games are
Alexeev081 [22]

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.

C_{n,x} = \frac{n!}{x!(n-x)!}

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.

The probability means that p = 0.75, and four games means that n = 4

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

4 0
3 years ago
Find the measure of angle AEC
andreev551 [17]
Aec= 40

Explanation because it’s a 90 degree angle and dea = 50
So 90-50=40
Plea give me Brainiest
7 0
3 years ago
Read 2 more answers
2/3 (3x+9)=-2 (2x+6)​
rosijanka [135]

Answer: x=−3

Step-by-step explanation: Let's solve your equation step-by-step.

2

3

(3x+9)=−2(2x+6)

Step 1: Simplify both sides of the equation.

2

3

(3x+9)=−2(2x+6)

(

2

3

)(3x)+(

2

3

)(9)=(−2)(2x)+(−2)(6)(Distribute)

2x+6=−4x+−12

2x+6=−4x−12

Step 2: Add 4x to both sides.

2x+6+4x=−4x−12+4x

6x+6=−12

Step 3: Subtract 6 from both sides.

6x+6−6=−12−6

6x=−18

Step 4: Divide both sides by 6.

6x

6

=

−18

6

x=−3

5 0
3 years ago
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20x3 - 45x2 + 21x + 25 \<br><br> 4x - 5
tiny-mole [99]

Answer:

80x3 - 180x2 + 109x - 20

—————————————

               4            

Step-by-step explanation:

4 0
3 years ago
A group of 50 people are goin to run a race. The top 3 runners earn gold, silver, and bronze medals
UNO [17]
I don’t know this one
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