Answer: 13
Step-by-step explanation:
The distance (d) between two points (x1,y1) and (x2,y2) is given by the formula:
= √ ((X2-X1)2+(Y2-Y1)2)
d = √(-2--7)2+(-5-7)2
d = √((-5)2+(-12)2)
d = √(25+144)
d = √169
d= 13
Answer
Order from least to greatest: −√1694, −√36, −√12.25, ±√49, √254,
Explanation
Smallest To Biggest
-36 Square Root: -6
254 Square Root: ~15.9
-12.25 Square Root: -3.5
49 Square Root: 7
1694 Square Root: ~-41.15
The easiest way to figure out probability problem with small data sets is to write out your entire sample space then divide by the total:
Sample size = 6 * 6 = 36
S = {[1,1],[1,2],[1,3],[1,4],[1,5],[1,6],[2,1],[2,2],[2,3],[2,4],[2,5],[2,6],[3,1],[3,2],[3,3],[3,4],[3,5],[3,6],[4,1],[4,2],[4,3],[4,4],[4,5],[4,6],[5,1],[5,2],[5,3],[5,4],[5,5],[5,6],[6,1],[6,2],[6,3],[6,4],[6,5],[6,6]}
The only way to make a number combination that's even while 1 die is odd is to have 2 odd numbers.
{[1,1],[1,3],[1,5],[3,1],[3,3],[3,5],[5,1],[5,3],[5,5]}
This gives us 9 results.
The probability of this happening is 9/36 = 1/4 = 0.25
Now if we have to get a 6 with the product being at most 15 we know that the biggest number that 6 can be multiplied by is 2 which gives us 12.
We are left with 4 options:
{[1,6],[2,6],[6,1],[6,2]}
The probability of this happening is 4/36 = 1/9 = 0.1111...
