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Law Incorporation [45]
3 years ago
7

There are 5 players in a baseball lineup. How many different batting orders are possible for these 5 players? (use FACTORIALS to

find the probability of the number of permutations)
Mathematics
2 answers:
nexus9112 [7]3 years ago
8 0

Answer:

i believe it is "5!"

Step-by-step explanation:

1x2x3x4x5=120

but the answer is "5!" ( include the exclamation point)

hope this helps (again)

Elina [12.6K]3 years ago
5 0

Answer:

5! or 120.

Step-by-step explanation:

Think about this logically:

You have 5 players to start off with, so you have 5 players that can go in the first position.

That leaves you with 4 players. Any one of those 4 players can go in the second position.

And then there were 3 players. Any one of those 3 players can go in the third position.

2 to go! Pick your favorite player out of the 2 available to go in the fourth position.

And that leaves just one player who has to go last.

This can be modeled as: 5x4x3x2x1, or 5!, which equals 120 unique permutations.

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Suppose you want to factor the expression x2+ 2xn+n2. Given that n> 0, what are the factors? Explain.
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(x + n)^2

Step-by-step explanation:

Okay! Let's get this going!

(x + n ) ^2 is correct because first we get

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3 years ago
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Step-by-step explanation:

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Using a table of values, determine the solution to the equation below to the nearest fourth of a unit. 2^x=1-3^x
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Answer:

Option (1)

Step-by-step explanation:

Given equation is,

2^x=1-3^x

To determine the solution of the equation we will substitute the values of 'x' given in the options,

Option (1)

For x = -0.75

2^{-0.75}=1-3^{-0.75}

0.59 = 1 - 0.44

0.59 = 0.56

Since, values on both the sides are approximately same.

Therefore, x = -0.75 will be the answer.

Option (2)

For x = -1.25

2^{-1.25}=1-3^{-1.25}

0.42 = 1 - 0.25

0.42 = 0.75

Which is not true.

Therefore, x = -1.25 is not the answer.

Option (3)

For x = 0.75

2^{0.75}=1-3^{0.75}

1.68 = 1 - 2.28

1.68 = -1.28

Which is not true.

Therefore, x = 0.75 is not the answer.

Option (4)

For x = 1.25

2^{1.25}=1-3^{1.25}

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2.38 = -2.95

It's not true.

Therefore, x = 1.25 is not the answer.

6 0
3 years ago
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