Answer:
1) 1 element
2) 13 elements
3) 22 elements
4) 40 elements
Step-by-step explanation:
1) Only one element will have no tails: the event that all the coins are heads.
2) 13 elements will have exactly one tile. Basically you have one element in each position that you can put a tail in.
3) There are 
elements that have exactly 2 tails. From those elements we have to remove the only element that starts and ends with a tail and in the middle it has heads only and the elements that starts and ends with a head and in the 11 remaining coins there are exactly 2 tails. For the last case, there are 
possibilities, thus, the total amount of elements with one tile in the border and another one in the middle is 78-55-1 = 22
4) We can have:
- A pair at the start/end and another tail in the middle (this includes a triple at the start/end)
- One tail at the start/end and a pair in the middle (with heads next to the tail at the start/end)
For the first possibility there are 2 * 11 = 22 possibilities (first decide if the pair starts or ends and then select the remaining tail)
For the second possibility, we have 2*9 = 18 possibilities (first, select if there is a tail at the end or at the start, then put a head next to it and on the other extreme, for the remaining 10 coins, there are 9 possibilities to select 2 cosecutive ones to be tails).
This gives us a total of 18+22 = 40 possibilities.
Answer: AAS
Step-by-step explanation:
In the given triangles, there are two angles such as 
and 
and one non included side as 16 cm of both triangles are equal or congruent.
Thus, by AAS postulate of congruence both the triangles are congruent without establishing any additional information.
- <em>The AAS postulate says that if two angles and the non-included side one triangle are congruent to two angles and the non-included side of another triangle, then these two triangles are congruent.</em>
You have the function v(x) = 8(x − 1), where x <span>is the number of days since opening.
</span><span>On the first day, there will be a ceremony with 32 people in attendance.
Therefore, keeping the information above on mind, the </span><span>function that shows total visitors, including the ceremony is:
f(x)=8(x-1)+32
So, as you can see, the answer is:
</span>
f(x)=8(x-1)+32
Answer:
1=-3
Step-by-step explanation:
So first we divide the negative one because of additive inverse
The equation is now -4=i-1
So you add one to each time because of addative inverse
the equation is now -3=i
the answer is i=-3
