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Pie
3 years ago
15

You need to arrange tenten of your favorite books along a small shelf. how many different ways can you arrange the? books, assum

ing that the order of the books makes a difference to? you
Mathematics
2 answers:
jok3333 [9.3K]3 years ago
4 0
That is permuations

that would be 10! or 10*9*8*7*6*5*4*3*2*1=3628800 ways

Verizon [17]3 years ago
4 0

Answer:

3,682,800 ways

Step-by-step explanation:

A permutation is the variation of the order or position of the elements of an ordered set.

Basically, if order doesn't matter, we talk about a combination. If order matters, it's about permutation.

In other words: A permutation is an orderly combination.

There are two types of permutations:

  Repeat is allowed: as a lock combination, it could be "333".

   Without repetition: for example the first three in a race. You cannot stay first and second at the same time.

In this case, factor notation is used, multiplying descending numbers.

<em>10! = 10x9x8x7x6x5x4x3x2x1 = 3,682,800 ways</em>

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3 years ago
4x+12=−2x<br><br> i need help my stoopid math teacher is mean...
ehidna [41]

Answer:

-2=x

Step-by-step explanation:

4x+12=-2x

Subtract 4x on both sides

12=-6x

Divided by -6 on both sides

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3 0
3 years ago
A rectangle has a length that is 4 meters more than the width. The area of the rectangle is 117 square meters. Find the dimensio
pickupchik [31]

Answer:

Its the first choice. Width:9 Length:13

Step-by-step explanation:

If the length is 4 meter more than the width than that means whatever the width is you must add 4 to it, in this case the width is 9 so add 4 to it which equals 13. If the length matches your answer it is the correct choice.

6 0
3 years ago
4x/5 - 3x/7 = 4x/7 + 5x/7 can anyone please help with explanation...​
kirill115 [55]

Answer: x=0

Step-by-step explanation:

Multiply both sides of the equation by 35, the least common multiple of 5,7.

7×4x−5×3x=5×4x+5×5x

Multiply 7 and 4 to get 28.

28x−5×3x=5×4x+5×5x

Multiply −5 and 3 to get −15.

28x−15x=5×4x+5×5x

Combine 28x and −15x to get 13x.

13x=20x+25x

Combine 20x and 25x to get 45x.

13x=45x

Subtract 45x from both sides

13x−45x=0

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Product of two numbers is equal to 0 if at least one of them is 0. Since −32 is not equal to 0, x must be equal to 0.

X=0

7 0
2 years ago
Suppose that you work for the child social services agency in your county. Your job is to investigate instances of possible chil
True [87]

Answer:

Null hypothesis: ∪ =  No possible child abuse or neglect

Alternative hypothesis: Uₐ = Possible child abuse or neglect

Step-by-step explanation:

Null hypothesis: ∪ =  No possible child abuse or neglect

Alternative hypothesis: Uₐ = Possible child abuse or neglect

A type I error occurs when you reject the null hypothesis when it is true. In this situation, a type I error occurs when you conclude on possible child neglect or abuse and place the child in protective custody

A type II error occurs when you accept the null hypothesis when it is false. In this instance, a type II error occurs when you conclude on no possible child abuse or neglect when there is and fail to remove the child from the home.

In this case, the type II error is the more serious error. Failure to remove the child when there is possible child abuse or neglect will lead to more detrimental effect. Although, the type I error is also serious, it is not so detrimental as the type II error.

5 0
3 years ago
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