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Doss [256]
3 years ago
13

Zach exchanged 1,000 U.S dollars for the south African currency which is called the rand the exchange rate was 7.15 rand to 1 do

llar
How many South African rand did Zach get
Mathematics
1 answer:
slavikrds [6]3 years ago
3 0
To get the answer you need to multiply 1,000 by 7.15 then move your decimal to make it accurate and you should end up with 7150
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Prove the following DeMorgan's laws: if LaTeX: XX, LaTeX: AA and LaTeX: BB are sets and LaTeX: \{A_i: i\in I\} {Ai:i∈I} is a fam
MariettaO [177]
  • X-(A\cup B)=(X-A)\cap(X-B)

I'll assume the usual definition of set difference, X-A=\{x\in X,x\not\in A\}.

Let x\in X-(A\cup B). Then x\in X and x\not\in(A\cup B). If x\not\in(A\cup B), then x\not\in A and x\not\in B. This means x\in X,x\not\in A and x\in X,x\not\in B, so it follows that x\in(X-A)\cap(X-B). Hence X-(A\cup B)\subset(X-A)\cap(X-B).

Now let x\in(X-A)\cap(X-B). Then x\in X-A and x\in X-B. By definition of set difference, x\in X,x\not\in A and x\in X,x\not\in B. Since x\not A,x\not\in B, we have x\not\in(A\cup B), and so x\in X-(A\cup B). Hence (X-A)\cap(X-B)\subset X-(A\cup B).

The two sets are subsets of one another, so they must be equal.

  • X-\left(\bigcup\limits_{i\in I}A_i\right)=\bigcap\limits_{i\in I}(X-A_i)

The proof of this is the same as above, you just have to indicate that membership, of lack thereof, holds for all indices i\in I.

Proof of one direction for example:

Let x\in X-\left(\bigcup\limits_{i\in I}A_i\right). Then x\in X and x\not\in\bigcup\limits_{i\in I}A_i, which in turn means x\not\in A_i for all i\in I. This means x\in X,x\not\in A_{i_1}, and x\in X,x\not\in A_{i_2}, and so on, where \{i_1,i_2,\ldots\}\subset I, for all i\in I. This means x\in X-A_{i_1}, and x\in X-A_{i_2}, and so on, so x\in\bigcap\limits_{i\in I}(X-A_i). Hence X-\left(\bigcup\limits_{i\in I}A_i\right)\subset\bigcap\limits_{i\in I}(X-A_i).

4 0
3 years ago
A basketball team has 12 players. In how many different ways can the coach select 2 players to be the captains for tonight's gam
Elza [17]
I wanna say 6 cause 12 divided by 2 is 6 :)
6 0
3 years ago
I need to drag one into the box to match them
ioda

Answer:

54÷9 = 6 so for the second box is 6 hot dogs per person

54÷27= 2 third box is 2 hot dogs per person

54÷54= 1 fourth box is 1 hot dog per person

5 0
3 years ago
Round your answer to the nearest hundreth. ​
katovenus [111]

Answer:

78.54 is the radius of a circle of 5 inches

Step-by-step explanation:

the formula of the area of a circle is

A = πr^2

When you multiply 5 times 5, you get 25. Then, multiply 25 by pi to recieve 78.54 rounded to the nearest hundredth.

4 0
2 years ago
Can the side lengths of 8, 9, and 12 form a triangle?
Rama09 [41]

Answer:

No

Step-by-step explanation:

The formula you could do to check would be 8^2+9^2=12^2.

In this instance, 8^2 + 9^2 = 145 but 12^2 equals 144

7 0
3 years ago
Read 2 more answers
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