Consider the time series: xₜ= β₁+ β₂t + wₜwhere β1 and β2 are known constants and wₜ is a white noise process with variance σ ²_w.(a) determine whether xₜ is stationary.(b) show that the process yₜ= xₜ − xₜ₋₁ is stationary.(c) show that the mean of the moving averagevt = [1 /2q + 1] (j=-q→q) σ xₜ₋ⱼis β₁ + β₂t, and give a simplified expression for the autocovariance function.

Will give brainliest plz hurry lexie surveyed 4 teenagers to find out approximately how many hours, per week, they read for fun, and how many siblings they have. brooke said she reads about 10 h a week for fun, and that she has 5 siblings. celia said she has 1 brother and 1 sister and reads for fun about 3 h each week. henry said he has 2 brothers and reads for fun about 30 min each week. jude said he doesn't read for fun and has 3 brothers and 3 sisters. use this information to complete the data table. express your answers as whole numbers or decimals. name hours of fun number of siblings brooke celia __ henry jude

The holiday party will cost $160 if 8 people attend.if there are 40 people who attend the party, how much will the holiday party cost

Acolony contains 1500 bacteria. the population increases at a rate of 115% each hour. if x represents the number of hours elapsed, which function represents the scenario? f(x) = 1500(1.15)" f(x) = 1500(115) f(x) = 1500(2.15) f(x) = 1500(215)