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taurus [48]
3 years ago
11

A baseball coach is creating a nine-player batting order by selecting from a team of 15 players. How many different batting orde

rs are possible?
Mathematics
1 answer:
zzz [600]3 years ago
4 0

Answer:

1,816,214,400 batting orders are possible.

Step-by-step explanation:

The order is important.

Suppose we had a two player batting order.

A batting order of Jonathan Schoop and Manny Machado is a different order than Manny Machado and Jonathan Schoop. So we use the permutations formula.

Permutations formula:

The number of possible permutations of x elements from a set of n elements is given by the following formula:

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

A baseball coach is creating a nine-player batting order by selecting from a team of 15 players. How many different batting orders are possible?

Selection of 9 players from a set of 15 players. So

P_{15,9} = \frac{15!}{(15-9)!} = \frac{15!}{6!} = 1816214400

1,816,214,400 batting orders are possible.

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1 fifteenth, or 1/15

Step-by-step explanation:

If there are 3 sons multiply the fraction by 3 and then you have 12/15 because 12/15 is equal to 4/5, so the remaining is 3 out of 15, so divide that between the 3 sons and boom, 1/15th per son.  

5 0
3 years ago
The sum of four times a number and one is equal to the difference of twice the number and 9
andrezito [222]

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PLEASE ANSWER PART 2
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Answer:

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Step-by-step explanation:

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Write an equation for the following tile pattern.<br><br> Figure 2<br><br> Figure 3<br><br> Figure 4
oksano4ka [1.4K]

Answer:

The general equation following the pattern becomes is 7 + (n - 1)×2

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Step-by-step explanation:

The pattern in the question can be described as follows;

Figure 2 = (5 + 2) squares boxes = 7 squares boxes

Figure 3 = (5 + 2 + 2) squares boxes

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3 years ago
Political party affiliation is believed to be a very strong indicator of how voters will vote in Presidential Elections. You are
Norma-Jean [14]

Answer:

The best conclusion is that we are 90% that the true population proportion of Republicans that voted for Mitt Romney is between 0.7273 and 0.8106.

Step-by-step explanation:

x% confidence interval:

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In this question:

The 90% confidence interval for the proportion of Republican voters that had voted for Mitt Romney is (0.7273, 0.8106). The best conclusion is that we are 90% that the true population proportion of Republicans that voted for Mitt Romney is between 0.7273 and 0.8106.

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