The first thing to take into account is that the probability of getting any of the six numbers of the dice after rolling it is the same and that probability is 1/6. Here we are being asked about the probability of getting a 1 or a 4 or a 5. In order to find it we need to define which are our favourable cases. Favourable cases are the results we want to get when we roll the dice so getting a 1, a 4 or a 5 are all favourable cases. All the other possible outcomes are unfovourable cases: getting a 2, a 3 or a 6. So we have 3 favourable and 3 unfavourable cases. Adding them we know that the total amount of cases is 6. The probability we are looking for (i'm going to call it P) is given by these quantities I defined:

So the probability written as a simplified fraction is 1/2.
Answer:
The pattern rule is that we add by increasing odd integers.
Step-by-step explanation:
The first two numbers have a difference of 5. The next two have a difference of 7. The next two after that have a difference of 9.
5, 7 and 9 are increasing odd integers.
So, we know the next number would be 11 higher than the last.
Answer:
x ≥ 15
Step-by-step explanation:
200 + 20x ≥ 500
To solve this inequality, you must first subtract 200 from 500.
500 - 200 = 300.
Lastly, divide 300 by 20.
20x = 300
300 ÷ 20 = 15
Therefore, the value of x is 15.
Answer:
positive correlation
Explanation:
The correlation in where x and y value increases makes a line going upwards to the right side. This means that it is a positive correlation.
Answer:
A. 4
Step-by-step explanation:
To find the Mean Absolute Deviation (MAD) of a data, the following steps are usually taken:
1. Find the mean
2. Find the distance between each data value and the mean
3. Find the sum of the distances
4. Divide the sum of the distances by the number of data value given
Step 1 to 3 has been solved already from the table given.
The sum of the distances = 20
number of data value = 5
Therefore,
MAD = 20/5 = 4