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:
403
Step-by-step explanation:
It is shown that by looking at the formula for the volume of a cylinder (we assume that the trash can is cylindrical):
V = pi*r^2*h
We can conclude that the volume of the trash can is directly proportional to its radius and height. To wrap up, the volume would increase as the radius of the trash can's base, and its height would be increased as well.
First of all in order for us to figure out what angle x is we need to find the formula for finding that specific type of angle.
Formula is...
x = (far arc - close arc) ÷ 2
Now we just need to plug in.
x = (172° - 52°) ÷ 2 =
x = 120° ÷ 2 = 60°
Your answer: x = 60°
Good Luck! :)
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Hello there!
2(x + 5) = 3x + 1
You want to start with the distribution property
(2)(x) + (2)(5) = 3x + 1
2x + 10 = 3x + 1
2x - 3x = 1 - 10
-x = -9
Multiply by -1 to remove the negative sign
x = 9
3y - 4 = 6 - 2y
3y + 2y = 6 + 4
5y = 10
y = 10/5
As always, it is my pleasure to help student like you.
