Suppose that we wish to predict whether a given stock will issue a dividend this year ("yes" or "no") based on x, last year’s percent profit. we examine a large number of companies and discover that the mean value of x for companies that issued a dividend was x¯ = 10, while the mean for those that didn’t was x¯ = 0. in addition, the variance of x for these two sets of companies was σˆ 2 = 36. finally, 80% of companies issued dividends. assuming that x follows a normal distribution, predict the probability that a company will issue a dividend this year given that its percentage profit was x = 4 last year.

After the near spacecraft passed mathilde, on several occasions rocket propellant was expelled to adjust the spacecraft's momentum in order to follow a path that would approach the asteroid eros, the final destination for the mission. after getting close to eros, further small adjustments made the momentum just right to give a circular orbit of radius 45 km (45 × 10^3 m) around the asteroid. so much propellant had been used that the final mass of the spacecraft while in circular orbit around eros was only 545 kg. the spacecraft took 1.04 days to make one complete circular orbit around eros. calculate what the mass of eros must be.

Which transition by an electron will release the greatest amount of energy? oa ob oc od

Asystematic approach to problem solving is called a (an)