5/54 or approximately 0.092592593
There are 6^3 = 216 possible outcomes of rolling these 3 dice. Let's count the number of possible rolls that meet the criteria b < y < r, manually.
r = 1 or 2 is obviously impossible. So let's look at r = 3 through 6.
r = 3, y = 2, b = 1 is the only possibility for r=3. So n = 1
r = 4, y = 3, b = {1,2}, so n = 1 + 2 = 3
r = 4, y = 2, b = 1, so n = 3 + 1 = 4
r = 5, y = 4, b = {1,2,3}, so n = 4 + 3 = 7
r = 5, y = 3, b = {1,2}, so n = 7 + 2 = 9
r = 5, y = 2, b = 1, so n = 9 + 1 = 10
And I see a pattern, for the most restrictive r, there is 1 possibility. For the next most restrictive, there's 2+1 = 3 possibilities. Then the next one is 3+2+1
= 6 possibilities. So for r = 6, there should be 4+3+2+1 = 10 possibilities.
Let's see
r = 6, y = 5, b = {4,3,2,1}, so n = 10 + 4 = 14
r = 6, y = 4, b = {3,2,1}, so n = 14 + 3 = 17
r = 6, y = 3, b = {2,1}, so n = 17 + 2 = 19
r = 6, y = 2, b = 1, so n = 19 + 1 = 20
And the pattern holds. So there are 20 possible rolls that meet the desired criteria out of 216 possible rolls. So 20/216 = 5/54.
Answer: Option A
Step-by-step explanation: if we multiply two negative numbers we get a positive result, pls give brainliest
Answer: 17/2
Step-by-step explanation: 2/3 of 12 3/8 = 8.25
8.25 as a fraction= 17/2.
Answer:
To rewrite your question, you are looking for the smallest that fulfills the inequality:
∑=1>250
First, we must find the sequence in explicit form. We can think of it as a line we are trying to get the slope-intercept form of. We have the points (1, 3) and (2, 8). Therefore, the slope is 8−32−1=51=5 . Now we just need the y-intercept. We can find it through substitution:
=5+
In order to solve for , we can plug in one of the points that we were already given. I will choose the point (1, 3). Note that this point just means that when =1 , =3 .
3=5(1)+
3=5+
=−2
Now for the original question.
∑=1(5−2)>250
((5(1)−2)+(5()−2)2)>250
(5+12)>250
522+12>250
2+15>100
2+15+1100>100+1100
(+110)2>100+1100
(+110)2>10001100
+110>±10001100‾‾‾‾‾‾‾√
+110>±11010001‾‾‾‾‾‾√
>−110±11010001‾‾‾‾‾‾√
Since we are looking for the smallest value, we will subtract for the plus or minus sign.
>−110−11010001‾‾‾‾‾‾√≈−10
Since that is negative, we will have to add instead.
>−110+11010001‾‾‾‾‾‾√≈9.9
Therefore, the smallest integer that makes sense and satisfies the inequality is 10.
So, the first 10 numbers must be added.
Honestly, it would have been quicker just to brute-force this.
Step-by-step explanation:
Have a good day
