Scientists are studying the number of wild coyotes in an area of northeastern Montana. After 1 year, there are 49 coyotes. After 5 years, there are 33 coyotes.  Assuming there is a constant change in the number of coyotes per year, write an equation in slope-intercept form that could be used to predict the number of coyotes in any given year.

In ten more years will there be any coyotes left in northeastern Montana?

Players on the school soccer team are selling candles to raise money for an upcoming trip. each player has 24 candles to sell. if a player sells 4 candles a profit of$30 is made. if he sells 12 candles a profit of $70 is made. determine an equation to model his situation?

Factor 15x^3 - 5x^2 +6x-2 by grouping. what is the resulting expression

Consider the linear model for a two-stage nested design with b nested in a as given below. yijk=\small \mu + \small \taui + \small \betaj(i) + \small \varepsilon(ij)k , for i=1,; j= ; k=1, assumption: \small \varepsilon(ij)k ~ iid n (0, \small \sigma2) ; \small \taui ~ iid n(0, \small \sigmat2 ); \tiny \sum_{j=1}^{b} \small \betaj(i) =0; \small \varepsilon(ij)k and \small \taui are independent. using only the given information, derive the least square estimator of \small \betaj(i) using the appropriate constraints (sum to zero constraints) and derive e(msb(a) ).