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inn [45]
2 years ago
5

​{c​, f ​, ​j, ​k}=​{j, ​k, f ​, c ​}

Mathematics
2 answers:
frutty [35]2 years ago
3 0

Answer:

True.

Step-by-step explanation:

These are sets containing the same exact elements so they are the same set of elements.

They both contain 4 elements.

The 4 elements in each are c, f , j , and k.

It matters not of the arrangement.  It also doesn't matter if they repeat an element.  

For example these sets are also the same:

{a,a,b} and {a,b}.

They both contain 2 elements and those elements are a and b.

People don't normally write something like {a,a,b} because it is redundant (because of the repetition of a).  

Here is an example of some sets that are equal:

{1,2,3}={1,3,2}={2,1,3}={2,3,1}={3,1,2}={3,2,1}.

These are all the same because they all contain the elements: 1 , 2 , and 3. It doesn't matter the order in a set.

Xelga [282]2 years ago
3 0
It is True because it is the same thing except the other elements are rearranged
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y+4= -3(x+8)

Step-by-step explanation:

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2 years ago
Evaluate 5.5r8.35s when r12 and s4.
Over [174]

Answer:

32.6

Step-by-step explanation:

when you plug in for s and r you will get 66-33.4 since 5.5 multiped by 12 is 66 and 8.35 multiplied by 4 is 33.4 .

then you subtract them and that's how you'll get your answer

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2 years ago
What is 29 divided by 11​
dezoksy [38]

Answer:

2.63

Step-by-step explanation:

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3 years ago
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The larger of two numbers is 15 more than three times the smaller number. If the sum of the two numbers is 63 find the numbers
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2 years ago
Suppose that X is a random variable with mean 30 and standard deviation 4. Also suppose that Y is a random variable with mean 50
Vladimir79 [104]

Answer:

a) Var[z] = 1600

    D[z] = 40

b) Var[z] = 2304

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c) Var[z] = 80

    D[z] = 8.94

d) Var[z] = 80

    D[z] = 8.94

e) Var[z] = 320

    D[z] = 17.88

Step-by-step explanation:

In general

V([x+y] = V[x] + V[y] +2Cov[xy]

how in this problem Cov[XY] = 0, then

V[x+y] = V[x] + V[y]

Also we must use this properti of the variance  

V[ax+b] = a^{2}V[x]

and remember that

standard desviation = \sqrt{Var[x]}

a) z = 35-10x

   Var[z] = 10^{2} Var[x] = 100*16 = 1600

   D[z] = \sqrt{1600} = 40

b) z = 12x -5

   Var[z] = 12^{2} Var[x] = 144*16 = 2304

   D[z] = \sqrt{2304} = 48

c) z = x + y

   Var[z] =  Var[x+y] = Var[x] + Var[y] = 16 + 64 = 80

   D[z] = \sqrt{80} = 8.94  

d) z = x - y

   Var[z] =  Var[x-y] = Var[x] + Var[y] = 16 + 64 = 80

   D[z] = \sqrt{80} = 8.94

e) z = -2x + 2y

   Var[z] = 4Var[x] + 4Var[y] = 4*16 + 4*64 = 320

  D[z] = \sqrt{320} = 17.88

   

7 0
3 years ago
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