7).Venn diagram is an illustration that uses circles to show the relationships among things or finite groups of things. Circles that overlap have a commonality while circles that do not overlap do not share those traits. Venn diagrams help to visually represent the similarities and differences between two concepts.
8).In set theory, the union of a collection of sets is the set of all elements in the collection. It is one of the fundamental operations through which sets can be combined and related to each other. A nullary union refers to a union of zero sets and it is by definition equal to the empty set.
9).The intersection of two or more given sets is the set of elements that are common to each of the given sets. The intersection of sets is denoted by the symbol '∩'. In the case of independent events, we generally use the multiplication rule, P(A ∩ B) = P( A )P( B ).
10).Sets in mathematics, are simply a collection of distinct objects forming a group. A set can have any group of items, be it a collection of numbers, days of a week, types of vehicles, and so on. Every item in the set is called an element of the set. ... Sets are usually represented using a roster form or a set builder form.
Step-by-step explanation:
please mark me brainliest
The answer is 6. 480 divided by 80 gives you the answer 6.
The simplified form of the expression 1/6 (30x + 24) – 1/7 (63 – 7x) will be 6x – 5.
The complete question is given below.
<h3>What is simplification?</h3>
Making anything easier to accomplish or comprehend, as well as making it less difficult, is the definition of simplification.
The expression is given below.
⇒ 1/6 (30x + 24) – 1/7 (63 – 7x)
By simplifying we have
⇒ 1/6 × 30x + 1/6 × 24 – 1/7 × 63 + 1/7 × 7x
⇒ 5x + 4 – 9 + x
⇒ 6x – 5
Then the simplification process is done.
More about the simplification link is given below.
brainly.com/question/12616840
#SPJ1
-2 should be distributed to (x-3). so you would get the answer of -2x+6
Answer: 3
Step-by-step explanation:
first, we know that:
1 + 2 + 3 + 4 +5 +6 = 21
Now, which two numbers we should take out in order to have 15?
we can remove the 2 and the 4, or the 1 and the 5.
so here we have two possibilities, 2 and 4 are opposite, or 1 and 5 are opposite (they are located in opposite faces of the die)
in the other arrange, we have that removing two numbers we should get 12.
in order to reach 12, we should remove two numbers that add 9 together.
those can be 4 and 5, or 6 and 3.
Now, notice that in the first restriction we have that:
Or 2 and 4 are opposite,
or 1 and 5 are opposite.
So 4 and 5 can never be opposite, so we should have that 6 and 3 are opposite.
Then we can affirm that the value that appears in the face opposite to the 6, is the 3.
