Let θ1 , θ2 , w1 , and w2 be independent standard normal random variables. we obtain two observations, x1=θ1+w1,x2=θ1+θ2+w2. find the map estimate θ^=(θ^1,θ^2) of (θ1,θ2) if we observe that x1=1 , x2=3 . (you will have to solve a system of two linear equations.)

Which best describes the strength of the correlation, and what is true about the causation between the variables? it is a weak negative correlation, and it is not likely causal. it is a weak negative correlation, and it is likely causal. it is a strong negative correlation, and it is not likely causal. it is a strong negative correlation, and it is likely causal.

Write the expression as a constant , a single trigonometric function, or a power of a trigonometric function. sin x cos x/ tan x

Someone this asap for a group of students attends a basketball game. * the group buys x hot dogs at the concession stand for $2 each. * the group buys y drinks at the concession stand for $3 each. the group buys 29 items at the concession stand for a total of $70. how many hot dogs did the group buy?