Answer:
(-∞, -4] ∪ [5, ∞)
Step-by-step explanation:
Hi!
Alright, so greater (or less) than or equal to is denoted with a bracket.
If x is less than or equal to -4, then the bracket is on the left side.
(___, -4]
Because x is <em>any</em> number under or equal to -4, x can range from negative infinity. However, we use a parentheses for infinity because infinity can never truly be reached.
So, x 
-4 = (-∞, -4]
X
5
Equal to = bracket
X is any number above 5, so
[5, ∞)
Because we want both of these, we use the union sign (∪)
so,
= (-∞, -4] ∪ [5, ∞)
When you roll a number cube, there is a possibility of a number from 1 to 6 appearing. i.e. 1, 2, 3, 4, 5, or 6 can appear.
The same goes for the second number cube.
The table below presents the possible outcomes of rolling two number cubes with the sum written as exponent.
![\begin{center} \begin{tabular} {| c || c | c | c | c | c | c |} & 1 & 2 & 3 & 4 & 5 & 6 \\ [1ex] 1 & \{1,1\}^2 & \{1,2\}^3 & \{1,3\}^4 & \{1,4\}^5 & \{1,5\}^6 & \{1,6\}^7 \\ 2 & \{2,1\}^3 & \{2,2\}^4 & \{2,3\}^5 & \{2,4\}^6 & \{2,5\}^7 & \{2,6\}^8 \\ 3& \{3,1\}^4 & \{3,2\}^5 & \{3,3\}^6 & \{3,4\}^7 & \{3,5\}^8 & \{3,6\}^9 \\ 4 & \{4,1\}^5 & \{4,2\}^6 & \{4,3\}^7 & \{4,4\}^8 & \{4,5\}^9 & \{4,6\}^{10} \\ \end{tabular} \end{center}](https://tex.z-dn.net/?f=%5Cbegin%7Bcenter%7D%0A%5Cbegin%7Btabular%7D%20%7B%7C%20c%20%7C%7C%20c%20%7C%20c%20%7C%20c%20%7C%20c%20%7C%20c%20%7C%20c%20%7C%7D%0A%26%201%20%26%202%20%26%203%20%26%204%20%26%205%20%26%206%20%5C%5C%20%5B1ex%5D%0A1%20%26%20%5C%7B1%2C1%5C%7D%5E2%20%26%20%5C%7B1%2C2%5C%7D%5E3%20%26%20%5C%7B1%2C3%5C%7D%5E4%20%26%20%5C%7B1%2C4%5C%7D%5E5%20%26%20%5C%7B1%2C5%5C%7D%5E6%20%26%20%5C%7B1%2C6%5C%7D%5E7%20%5C%5C%20%0A2%20%26%20%5C%7B2%2C1%5C%7D%5E3%20%26%20%5C%7B2%2C2%5C%7D%5E4%20%26%20%5C%7B2%2C3%5C%7D%5E5%20%26%20%5C%7B2%2C4%5C%7D%5E6%20%26%20%5C%7B2%2C5%5C%7D%5E7%20%26%20%5C%7B2%2C6%5C%7D%5E8%20%5C%5C%20%0A3%26%20%5C%7B3%2C1%5C%7D%5E4%20%26%20%5C%7B3%2C2%5C%7D%5E5%20%26%20%5C%7B3%2C3%5C%7D%5E6%20%26%20%5C%7B3%2C4%5C%7D%5E7%20%26%20%5C%7B3%2C5%5C%7D%5E8%20%26%20%5C%7B3%2C6%5C%7D%5E9%20%5C%5C%20%0A4%20%26%20%5C%7B4%2C1%5C%7D%5E5%20%26%20%5C%7B4%2C2%5C%7D%5E6%20%26%20%5C%7B4%2C3%5C%7D%5E7%20%26%20%5C%7B4%2C4%5C%7D%5E8%20%26%20%5C%7B4%2C5%5C%7D%5E9%20%26%20%5C%7B4%2C6%5C%7D%5E%7B10%7D%20%5C%5C%20%0A%5Cend%7Btabular%7D%0A%5Cend%7Bcenter%7D)
From the table it can be seen that the sums: 2 and 12 appeared only once and hence will represent the shortest bars if the distribution is represented in a bar chart.
Therefore, the <span>two sums that are represented by the shortest bars on a bar graph of this distribution</span> are 2 and 12.
You can not simplify it because they both are prime numbers
127.17 because 9x9=81 and 81x3.14=254.34 then divide by 2 and it’s equal 127.17
It is a 90° angle from up to right and 65 makes up part of it so 90-65=25
