Answer:
the answer is A
Step-by-step explanation:i just did it
your welcome
Answer:
![P= \left[\begin{array}{ccc}0.5&0.25&0.25\\0.25&0.5&0.25\\0.25&0.25&0.5\end{array}\right]](https://tex.z-dn.net/?f=P%3D%20%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7D0.5%260.25%260.25%5C%5C0.25%260.5%260.25%5C%5C0.25%260.25%260.5%5Cend%7Barray%7D%5Cright%5D)
Step-by-step explanation:
let a, b and c be the type of foods used in trail.
Example matrix combination for (1,1) is (a,a) is 0.5. Another Example for (1,2) is (a,b) is 0.25.
The diagonals are (a,a), (b,b) and (c,c) which means same food in two trails and its probability is 0.5. the rest would be 0.25
Therefore, stochastic matrix would have 3 by 3 matrix such as (a,a), (a,b) .... (c,c)
![\left[\begin{array}{ccc}0.5&0.25&0.25\\0.25&0.5&0.25\\0.25&0.25&0.5\end{array}\right] \\](https://tex.z-dn.net/?f=%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7D0.5%260.25%260.25%5C%5C0.25%260.5%260.25%5C%5C0.25%260.25%260.5%5Cend%7Barray%7D%5Cright%5D%20%5C%5C)
State A:
21,22,22,23,23,23,24,24,25
minimum = 21
Q1 = 22
Q2(median) = 23
Q3 = 24
maximum = 25
IQR = Q3 - Q1 = 24 - 22 = 2
state B:
20,20,21,22,23,23,24,46,50
minimum = 20
Q1 = (20 + 21)/2 = 20.5
Q2(median) = 23
Q3 = (24 + 46)/2 = 35
maximum = 50
IQR = 35 - 20.5 = 14.5
I do not believe they are symmetrical....I think state B is skewed to the right
Answer:
3 × 3 × 4 × 2 = 72
Step-by-step explanation:
soup 1 soup 2 soup 3
Sandwich 1 1 2 3
Sandwich 2 4 5 6
Sandwich 3 7 8 9
And so we can see that we multiply the number of sandwiches and the number of soups to get the total number of ways to get one of each.
The same works for more categories of choices, and so we multiply the 3 sandwiches, the 3 soups, 4 salads, and 2 drinks to get:
3 × 3 × 4 × 2 = 72
I hope this helps
Answer:
x < 4
Step-by-step explanation:
Given the inequality :
- 20 > - 4(2x - 3)
Open the bracket
-20 > - 8x + 12
Collect like terms
-20 - 12 > - 8x
-32 > - 8x
Divide both sides by - 8
4 > x
x < 4
