1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
lisov135 [29]
4 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]4 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>

You might be interested in
Suppose that in a large metropolitan area, 84% of all households have cable tv. Suppose you are interested in selecting a group
Firdavs [7]

Answer:

0.05606

Step-by-step explanation:

This is a binomial probability distribution problem.

84% of all households have cable TV, thus;

p = 0.84

There are six households from this area, thus; n = 6

Formula for this binomial distribution is;

P(X) = C(n, x) × p^(x) × (1 - p)^(n - x)

We want to find the proportion of groups where at most three of the households have cable TV.

Thus, it's is;

P(X ≤ 3) = P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3)

P(X = 0) = C(6, 0) × 0.84^(0) × (1 - 0.84)^(6 - 0) = 0.00001678

P(X = 1) = C(6, 1) × 0.84^(1) × (1 - 0.84)^(6 - 1) = 0.000528

P(X = 2) = C(6, 2) × 0.84^(2) × (1 - 0.84)^(6 - 2) = 0.006963

P(X = 3) = C(6, 3) × 0.84^(3) × (1 - 0.84)^(6 - 3) = 0.04855

Thus;

P(X ≤ 3) = 0.00001678 + 0.000528 + 0.006963 + 0.04855 = 0.05606

5 0
3 years ago
Describe in detail how you would create a number line with the following points: 4, 1.25, the opposite of 3, and – (–2). Please
pochemuha
Well you would have to put 25 make in between 1,4, -2
6 0
3 years ago
Please help solve for x..
aalyn [17]

Answer:

x = 1 or x = -1

Step-by-step explanation:

Given equation:

x^{100}-4^x \cdot x^{98}-x^2+4^x=0

Factor out -1:

\implies -1(-x^{100}+4^x \cdot x^{98}+x^2-4^x)=0

Divide both sides by -1:

\implies -x^{100}+4^x \cdot x^{98}+x^2-4^x=0

Rearrange the terms:

\implies 4^x \cdot x^{98}-4^x-x^{100}+x^2=0

\textsf{Apply exponent rule} \quad a^{b+c}=a^b \cdot a^c \quad \textsf{to }x^{100}:

\implies 4^x \cdot x^{98}-4^x-x^{98}x^2+x^2=0

Factor the first two terms and the last two terms separately:

\implies 4^x(x^{98}-1)-x^2(x^{98}-1)=0

Factor out the common term (x^{98}-1) :

\implies (4^x-x^2)(x^{98}-1)=0

<u>Zero Product Property</u>:  If a ⋅ b = 0 then either a = 0 or b = 0 (or both).

Using the <u>Zero Product Property</u>, set each factor equal to zero and solve for x (if possible):

\begin{aligned}x^{98}-1 & = 0 & \quad \textsf{or} \quad \quad4^x-x^2 & = 0 \\x^{98} & =1 & 4^x & = x^2 \\x & = 1, -1 & \textsf{no}& \textsf{ solutions for } x \in \mathbb{R}\end{aligned}

Therefore, the solutions to the given equation are: x = 1 or x = -1

Learn more here:

brainly.com/question/27751281

brainly.com/question/21186424

3 0
2 years ago
What is the answer to this problem?
Andrei [34K]

i think the best answer for this question is A)

5 0
4 years ago
How to factor 6x^2 + 8x + 7x + 21?
Nitella [24]
(23+15x) when you add this you will have your answer
8 0
3 years ago
Other questions:
  • A class has 35 students, of which 16 are male and 19 are female. If 6 of the students are selected at random to form a committee
    6·1 answer
  • Don typically works 30 hours per week and earns $13.25 per hour. He is scheduled for a 3% pay increase next month. What will be
    5·1 answer
  • How many tulips does the store sells? The garden store sells each daisy for 4 dollars and each tulips for 6. How much more money
    14·1 answer
  • You randomly choose one shirt from the shelves.<br> Find the probability of the event.
    7·2 answers
  • Books at a library sale are sold for $3.50 each. A function, y = 3.50x can be used to generate an input/output table for this sc
    10·1 answer
  • I need helppp plzzz :((
    14·2 answers
  • What is -7.654 - 4.76?
    11·1 answer
  • Does anyone know how to turn off downtime without knowing the password or is there something I can download that anyone knows ab
    10·1 answer
  • How do you work this?
    6·1 answer
  • Giving brainliest!!!!!!!!!!
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!