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lisov135 [29]
3 years ago
15

You are getting a line-up ready for a school kickball game. you have 55 girls and 55 boys. the rules state each child must kick

the same number of times and alternate girl-boy or boy-girl. how many ways can a line-up be made for one round of kicking
Mathematics
1 answer:
marusya05 [52]3 years ago
8 0

To solve this problem, we must first imagine out that the sequence of the children is either <span>
GBGBGB.... or BGBGBG....</span>

So there are 2 possible sequence all in all. Now to solve for the total arrangements per sequence,<span> the girls can be arranged in n! ways in their alloted spots, and so can the boys n! in their alternate spots, therefore:
Total arrangements = 2 * n! * n!</span>

 

If n = 55

Total arrangements = 2 * 55! * 55!

Total arrangements = (The answer is very big ~almost infinite)

 

If n = 5

Total arrangements = 2 * 5! * 5!

Total arrangements = 28,800

 

<span>So I believe the correct given is 5 boys and 5 girls and there are a total of 28,800 arrangements.</span>

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This question on math and needs to be written a proportion
guapka [62]

Answer:

g = 3

Step-by-step explanation:

miles / gallon = miles / gallon

104 / 4 = 78 / g

cross-multiply to solve for 'g':

78(4) = 104g

312 = 104g

312/104 = g

3 = g

4 0
2 years ago
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For what value of c is the relation a function? {(2.8). (12.3).(c.4), (-1.8). (0.3}}
raketka [301]

Answer:  B) 1

=======================================================

Explanation:

I'm assuming you were given the list of points to be

{(2,8). (12,3).(c,4), (-1,8). (0,3}}

the x coordinates of each point are: 2, 12, c, -1 and 0

If c is equal to any of the other x coordinates (2, 12, -1, or 0), then this will mean we have a repeated x coordinate. In turn, this leads to us not having a function.

---------

Consider the case that c = 2.

This means that (2,8) and (2,4) are two points in this relation. The input x = 2 leads to multiple outputs y = 8 and y = 4 at the same time. A function is not possible here. A function is only possible if we have any given input lead to exactly one output only. So this is why c = 2 is not possible if we want a function. The same goes for the other x coordinates mentioned.

All of this means we can rule out choices A, C, and D

Choice B means that c = 1 and this x coordinate hasn't been mentioned yet. So this could be a value of c that leads to a function. This is why choice B is the final answer.

3 0
2 years ago
Two number cubes are rolled for two separate events:
andrew11 [14]

Answer:  \bold{P(B|A)=\dfrac{P(B\cap A)}{P(A)}=\dfrac{11}{30}}

<u>Step-by-step explanation:</u>

The probability of Event B given Event A = the intersection of Event A and B divided by the probability of Event A. (see below for the symbols)

P(B|A)=\dfrac{P(B\cap A)}{P(A)}

P(A) = (1, 6), (1, 5), (1, 4), (1, 3), (1, 2), (1, 1)

          (2, 6), (2, 5), (2, 4), (2, 3), (2, 2), (2, 1)

          (3, 6), (3, 5), (3, 4), (3, 3), (3, 2), (3, 1)

                    (4, 5), (4, 4), (4, 3), (4, 2), (4, 1)

                              (5, 4), (5, 3), (5, 2), (5, 1)

                                        (6, 3), (6, 2), (6, 1)

       = 30

P(B) = (1, 2), (2, 1)                                   sum = 3

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          (3, 6), (4, 5), (5, 4), (5, 4), (6, 3)  sum = 9

          (6, 6)                                           sum = 12

                       

      = 12

P(A ∩ B) =  (1, 2), (2, 1)

                  (1, 5), (2, 4), (3, 3), (4, 2), (5, 1)

                  (3, 6), (4, 5), (5, 4), (5, 4), (6, 3)

             = 11

7 0
3 years ago
Please answer this correctly
Vsevolod [243]

Answer:

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The Distributive Property introduces the multiplication operator an existing mathematical statement that involves the addition operator.

From the complete question, the equation is given as:

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Where x represents the missing factor.

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Evaluate the like terms

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Divide both sides by -1

x= -21

Hence, the missing factor in the equation is -21

Read more about the distributive property at:

brainly.com/question/2807928

6 0
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