Let us consider the weather trends in tucson during the monsoon season. let’s assume that if there is rain one day, there is a 70% chance that there will also be rain the next day. alternatively, if there is no rain on a given day, there is 20% chance that there will be rain the next day. let x denote a 2 1 vector denoting the state of weather in tucson and has the form: the probability of rain the probability of no rain        x note that probabilities are values between 0 and 1, where the value 0 denotes no chance of rain and 1 notes certain rain. a) formulate a matrix-vector expression that allows you to calculate the weather state vector for tomorrow, given the weather state vector today. b) if there is no chance of rain today, calculate the probability that it will be raining 3 days from now. c) if there is no chance of rain today, calculate the probability that it will be raining in two weeks (14 days). how does this probability change if it is certain that there is rain today? describe what you observe

so firstly, we need to isolate the y variables to be able to solve these inequalities. firstly, add 0.5x on both sides of the first inequality and subtract 1.5x on both sides of the second inequality:

now since the slope is positive for the first inequality, this means that the line going upwards belongs to the first inequality, and the line going downwards belongs to the second inequality.

next, since y ≥ in the first inequality, this means that the shaded region will be above the first inequality's line, thus shading regions a and b.

next, since y ≤ in the second inequality, this means that the shaded region is going to be below this line, thus shading regions a and c.

since both lines shade region a, this means that region a is the solution.

step-by-step explanation:

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answer is 12345678900987654321234567890987654321

step-by-step explanation:

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true

step-by-step explanation:

intersecting chords are just lines that intersect. so a line is equal to 180 degrees, so when it is intersected by another chord, then it create supplementary angles, and because the lines cross, vertical angels are also formed.