Answer:

Step-by-step explanation:
Solve for
:

-Add both sides by
:


-Take
and divide it on both side of the equation:


So, the value of
is
.
Answer:
Step-by-step explanation:
I really think it’s b
Answer:
In the long run if one day is rainy there is frequency of 2/5 that other two days will also be rainy.
Step-by-step explanation:
A matrix is formed to classify the weather conditions. It is given that if one day is sunny then there is likely chance that the next day will be cloudy, but if one day is rainy then there is 60% chance that next day will be same. To identify the possibility of next two days we create probability matrix;
Probability (P) = ![\left[\begin{array}{ccc}0&\frac{1}{2} &\frac{1}{2} \\\frac{1}{4} &\frac{1}{2} &\frac{1}{4} \\\frac{1}{4} &\frac{1}{4} &\frac{1}{2} \end{array}\right]](https://tex.z-dn.net/?f=%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7D0%26%5Cfrac%7B1%7D%7B2%7D%20%26%5Cfrac%7B1%7D%7B2%7D%20%5C%5C%5Cfrac%7B1%7D%7B4%7D%20%26%5Cfrac%7B1%7D%7B2%7D%20%26%5Cfrac%7B1%7D%7B4%7D%20%5C%5C%5Cfrac%7B1%7D%7B4%7D%20%26%5Cfrac%7B1%7D%7B4%7D%20%26%5Cfrac%7B1%7D%7B2%7D%20%5Cend%7Barray%7D%5Cright%5D)
After solving for probability we get a fraction of 2/5
Answer:
We have two fruits so we have following choices to make exactly 4 cups of fruits:
Blueberry Orange
0 4
1 3
2 2
3 1
4 0
In case 1: when she is using 4 cup of oranges so no need of blueberry.
In case 2: when she is taking 3 cup of oranges she will use 1 cup of blueberry to get exactly 4 cups of fruits.
case 3: when she is taking 2 cup of oranges she will use 2 cup of blueberries to get exactly 4 cups of fruits.
case 4: when she is taking 1 cup of orange she will use 3 cup of blueberries to get exactly 4 cups of fruits.
case 5: when she is taking 0 cup of orange she will use 4 cup of blueberries to get exactly 4 cups of fruits.
Answer:
19.
20.
21.
22. 97.2
23. 234
Step-by-step explanation:


I hope this helps.