Answer:
The Probability of strictly increasing or decreasing order is 20/216
Step-by-step explanation:
First Die 1 2 3 4 5 6
Second Die 1 2 3 4 5 6
Third Die 1 2 3 4 5 6
Total number of outcomes= 6*6*6= 216
Possible outcomes of increasing order
1,2,3-----1,2,6 (4)
1,3,4------1,3,6 (3)
1,4,5------1,4,6 (2)
1,5,6 (1)
2,3,4—-2,4,6 (3)
2,4,5—-2,4,6 (2)
2,5,6 (1)
3,4,5—-3,4,6 (2)
3,5,6 (1)
4,5,6 (1)
Total number of possible moves of increasing order= 4+3+2+1+3+2+1+2+1+1= 20
Probability of strictly increasing order is 20/216
Similarly Probability of strictly decreasing order is calculated which is also equal to 20/216
Hello!
I believe that Frank finished 5/8 of his book report.
To find the answer, you first need to multiply 1/2 by 4 (1/2*4)
Once you've done that, you'll have 4/8. ow you need to add 1/8 to 4/8 to get 5/8
I hope this helps!
Answer:
103= p small
plarge = 123
Step-by-step explanation:
We know that the the ratio of the areas is the scale factor squared/
Larger triangle over smaller triangle
72
----- = scale factor ^2
50
simplify by dividing by 2 on top and bottom
36
----- = scale factor ^2
25
Take the square root of each side
sqrt(36)
-------------- = sqrt(scale factor ^2)
sqrt(25)
6
-------------- = scale factor
5
The ratio of the perimeters is the scale factor
p large 6
-------------- = ----------------
p small 5
Using cross products
6 p large = 5 p small
We know the sum is 226
p large + p small = 226
p large = 226 - p small
We have 2 equation and 2 unknowns
6 p large = 5 p small
Substitute for p large
6 (226 - p small) = 5 p small
1356 - 6 p small = 5 p small
Add 6 p small to each side
1356 = 11 p small
divide by 11
1356/11 = p small
P large = 226-1356/11
p large = 2486/11-1356/11
plarge = 1130/11
The solution requires whole number answers so
1356/11 = p small
123.27 which rounds to 123
plarge = 1130/11
plarge = 102.7272 = 103
Answer:
392 minutes
Step-by-step explanation:
Answer:
Step-by-step explanation:
If you need a fraction just think of what equals 24 like this
Ex.
6/25 = .24
