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
So your looking for the insterest, think about how someone buys a car. they have to pay money each month with a rate for a few years, know think about the interest,
hope that helps
Answer:
x = 80
measure of exterior angle = 112°
Step-by-step explanation:
32 + x = 2x - 48 (because the measure of exterior angle is equal to the sum of the two interior angles)
32 + x = 2x - 48
32 = x - 48
x = 80
plug in,
2(80) - 48
160 - 48 = 112
Answer:
w=3 1\4
Step-by-step explanation:
A=LxW
a=14 1\12
l=4 1\3
w=?
14 1\12=4 1\3 x w
14 1\12 divided by 4 1\3=13\4=3 1\4
w=3 1\4
From there, you simply need algebra and a calculator that works in radians.
Take the inverse cos of both sides to get 2x = arccos(-1)
Then divide both sides by 2 to get x = arccos(-1) / 2
Put that into a calculator and you get π/2. But because your bounds are 0 to 2π, you have to add π your solution to get the solution on the other side of the unit circle, which would be (3π/2).
Now that you have the x value, put (π/2) and (3π/2) into f(x) to get the y coordinate.
f(π/2) = 2(π/2) + sin(2(π/2) = π, which means this solution is just (π/2, π)
f(3π/2 = 2(3π/2) + sin(2(3π/2) = 3π, which means this solution is (3π/2, 3π)
