The file p. mat contains a distribution p(x, y,z) on ternary state variables. Using BRML- toolbox, find the best approximation q(x, y)q(z) that minimizes the Kullback-Leibler di- vergence KL(q|p) and state the value of the minimal Kullback-Leibler divergence for the optimal q.

What does it mean by solve the exponential equation for x?

(a) what was jennifer's gross pay for the year? (b) how much did she pay in state income tax? (c) the amount in box 4 is incorrect. what dollar amount should have been entered in box 4? (d) the amount in box 6 is incorrect. what dollar amount should have been entered in box 6? (e) how much was jennifer's fica tax? (f) jennifer's taxable income was $32,104. she's filing her taxes as head of household. does she owe the government more in taxes, or will she receive a refund? how much will she owe or receive?

It is saturday morning and jeremy has discovered he has a leak coming from the water heater in his attic. since plumbers charge extra to come out on the weekends, jeremy is planning to use buckets to catch the dripping water. he places a bucket under the drip and steps outside to walk the dog. in half an hour the bucket is 1/5 of the way full. what is the rate at which the water is leaking per hour?