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Gnom [1K]
2 years ago
6

My teacher can grade 25 homework assignments in 20 minutes. Is she working at a faster rate or slower rate than Ms. Jones, who i

s grading 36 homework assignments in 30 minutes?
Mathematics
1 answer:
Neko [114]2 years ago
7 0

Answer:

Ms.Jones is faster

Step-by-step explanation:

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0.005680 is how much greater than 0.0004359
Lesechka [4]

Answer:

Answer is: 0.0052441

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Best of three In a best out of three series played between teams A and B, the team that gets two wins first wins the entire seri
konstantin123 [22]

Answer:

a) P (x = 2 games )  =  0.49 + 0.09 = 0.58

    P ( x = 3 games ) = 0.063 + 0.147 + 0.147 + 0.063 = 0.42

b) = 2.42 ≈ 2 games

c) P (x = 2 games )  =  0.49 + 0.09 = 0.58

Step-by-step explanation:

Team A chance of winning a game in the series. P( team A ) = 70% = 0.7

P ( team B ) = 0.3

probability of series ending after two games = 58% = 0.58

<u>A) Determine the probability distribution of X number of games played in the series</u>

First we have to consider the possible combinations that will decide the series and they are

( A,A ) , ( B,B) , ( A,B,B) , ( A,B,A ) , ( B,A,A ), ( B,A,B)  = 6 Combinations

( A,A ) = 0.7 * 0.7 = 0.49

( B,B ) = 0.3 * 0.3 = 0.09

( A,B,B ) = 0.7 * 0.3 *0.3 = 0.063

( A,B,A ) = 0.147

( B,A,A ) = 0.147

( B,A,B ) = 0.063

The distribution of the games in the series can be either game or three games before the end of the series

P (x = 2 games )  =  0.49 + 0.09 = 0.58

P ( x = 3 games ) = 0.063 + 0.147 + 0.147 + 0.063 = 0.42

<u>B) the expected number of games to be played </u>

∑ x(Px) = ( 2 * 0.58 ) + 3 ( 0.42 ) = 2.42 ≈ 2 games

<u>C)  Verify that the probability that series ends after two games = 58%</u>

sample space of all possible sequences of wins and losses

( A,A ) , ( B,B) , ( A,B,B) , ( A,B,A ) , ( B,A,A ), ( B,A,B)  = 6 Combinations

( A,A ) = 0.7 * 0.7 = 0.49

( B,B ) = 0.3 * 0.3 = 0.09

( A,B,B ) = 0.7 * 0.3 *0.3 = 0.063

( A,B,A ) = 0.147

( B,A,A ) = 0.147

( B,A,B ) = 0.063

hence :

P (x = 2 games )  =  0.49 + 0.09 = 0.58

6 0
2 years ago
Rewrite 5\11 and 3\7 so that they have common denominator
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Answer:

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Step-by-step explanation:

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A triangle has a height of 18 cm and a base of 3.57 CM what is the area of the triangle
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I dunno I’m not smart
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