In a soccer game, sending the goalie up on a corner kick sometimes results in a goal and gives the team a one man advantage. Assume soccer teams do this about 20% of the time. Of the times that teams send a goalie up, 30% result in that team scoring in the next 40 seconds of the game. On the other hand, 10% of the times that teams do not send a goalie up for a corner kick results in that team scoring in the next 40 seconds of the game. A sports statistician wants to know the probability of a team sending a goalie up and scoring within 40 seconds. What is this probability?

Select the conic section that represents the equation. 3x2 + 3y2 -2x + 4 = 0

Which statements about the system are true? check all that apply. y =1/3 x – 4 3y – x = –7 the system has one solution. the system consists of parallel lines. both lines have the same slope. both lines have the same y–intercept. the equations represent the same line. the lines intersect.

The federal reserve controls certain interest rates in the united states. investors often try to speculate as to whether the federal reserve will raise or lower rates and by how much. suppose a company conducts extensive interviews with financial analysts, and as a result, predicts that "thefed" will increase rates by an average of 0.25 percentage points every six months for the forseeable future. which type of equation could be used to model the predicted interest rates over the next several years, assuming no other significant changes? a) a linear equation b) a quadratic equation c) a polynomial equation d) an exponential equation