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3 years ago

Solve for f.-11f = 7(1 - 2f) + 5f =

Mathematics

1 answer:

Afina-wow [57]3 years ago

5 0

Answer:

f = 4

Step-by-step explanation:

Given

- 11f = 7(1 - 2f) + 5 ← distribute and simplify right side

- 11f = 7 - 14f + 5

- 11f = 12 - 14f ( add 14f to both sides )

3f = 12 ( divide both sides by 3 )

f = 4

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Step-by-step explanation:

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3 years ago

Two athletic teams play a series of games; the first team to win 4 games is declared the overall winner. Suppose that one of the

kodGreya [7K]

Answer:

p=0.7103 (4-game series)
p=0.6480 (2-game series)

Step-by-step explanation:

Let X be the random variable equal the the first 4 straight wins. An overall win for the stronger team implies a negative binomial function with the parameters n=4, p=0.6:

$P(X=4)={{i-1}\choose {4-1}}0.6^40.4^{i-4},\ i=4,5,6,7$

#We find probabilities for the different values of i:

$P(X=4)={3\choose 3}0.6^4=0.1296\\\\P(X=5)={4\choose 3}0.6^40.4^1=0.2074\\\\P(X=6)={5\choose 3}0.6^40.4^2=0.2074\\\\P(X=4)={6\choose 3}0.6^40.4^3=0.1659$

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$=P(X=4)+P(X=5)+P(X=6)+P(X=7)\\\\=0.7103$

#Define Y as the random variable for winning 2/3 games.:

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Hence, probability of the stronger team winning in 2 out 3 game series is 0.6480

The stronger team has a higher chance of winning in a 4-game series(0.7103>0.6480)

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3 years ago

Which graph represents the solution to this inequality? 16x - 80x < 37 + 27

AlladinOne [14]

Answer: 107

Step-by-step explanation:

1 Remove parentheses.

16x-80<2716x−80<27

2 Add 8080 to both sides.

16x<27+8016x<27+80

3 Simplify 27+8027+80 to 107107.

16x<10716x<107

4 Divide both sides by 1616.

x<\frac{107}{16}x<

107

Done

3 0

3 years ago

Solve for f.-11f = 7(1 - 2f) + 5f =​

Solve for f.-11f = 7(1 - 2f) + 5f =