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7nadin3 [17]
3 years ago
6

A baseball team has a 20-person roster. A batting order has nine people. How many different batting orders are there

Mathematics
1 answer:
Jobisdone [24]3 years ago
6 0

Answer:

60,949,324,800

Step-by-step explanation:

We solve the above question using Permutation formula

The formula for Permutation =

nPr = n!/(n - r)!

Total Amount in a Set (n) = 20 persons

Amount in each Sub-Set (r) = 9 batting order

Hence:

20P9 = 20!/(20 - 9)!

= 60,949,324,800

Therefore, the different batting orders they would have are: 60,949,324,800

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The quotient of the sum of 2t and 2, twice the cube of s
natali 33 [55]

Answer: \frac{2t+2}{2s^3}

Step-by-step explanation:

Since you did not indicate what you need to do, I assume that you have to write an expression using the sentence given in the problem.

In order to solve this exercise, it is importat to remember the following information:

1. The quotient is the result of a division.

2. The sum is the result of an addition.

3. The word "twice" indicates a multiplicatio by 2.

4. The word "cube" indicates an exponent 3.

Then, keeping on mind the explained above and the data given in the exercise, you know that:

-The sum of 2t and 2 can be expressed as:

2t+2

- Twice the cube of s can be expressed in the following form:

2s^3

Therefore, you can dermine that "the quotient of the sum of  2t and 2 and twice the cube of s" is represented with the following expression:

\frac{2t+2}{2s^3}

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8 0
3 years ago
Evaluate the following expression by applying the appropriate properties (24) 3 (31.7)/ 172
ale4655 [162]

−3/7×14/15×7/12×(−30/35)

=(−3/7×14/15)×(7/12×−30/35)

On further calculation, we get

=−2/5×−1/2

We get,

=1/5.

Property 1:

If a/b is a rational number and m is a non-zero integer then a/b =(a*m)/(b*m). In other words, we can say that the rational number remains unaltered if we multiply both the numerator and denominator with the same integer. Ex: 2/3 = 2*2/3*2 = 4/6, 2*3/3*3 = 6/9, 2*4/3*4 = 8/12.

Math Properties

Commutative Property.

Associative Property.

Distributive Property.

Identity Property.

Inverse Property.

Learn more about appropriate properties at

brainly.com/question/23576294

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7 0
2 years ago
What is the slope of a line on a standard xy-plane that passes through the point (1,3) and (4,-3)
nexus9112 [7]

Answer:

Slope(m) = -2

Step-by-step explanation:

The line passes through (1,3) and (4,-3)

Slope(m) = change in y ÷ change in x

m = \frac{-3 - 3}{4 - 1} = \frac{-6}{3} = -2

8 0
4 years ago
Describe the different parts of a picture graph
asambeis [7]
What type of picture graph? A bar graph? 
5 0
4 years ago
Simplify. 14+{−2+3[1+3(−6−2)]} Enter your answer in the box. pls HELP
Nina [5.8K]
-6-2= -8
-8+4= -4
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So the answer is 11

Hope it helps!
Could you put me as Brainliest so I can get leveled up?

5 0
4 years ago
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