The slope-intercept form of a line is y = mx + b, where m is the slope and b is the y-intercept. Since you are given the slope (0.5) and the y-intercept (3), all you have to do is substitute these given values into the equation. Substituting them in you get: y = 0.5x + 3, which is your answer.
Yes, they are independent. First of all, we know that P(A) = 1/4, P(B) = 2/5, and P(A and B) = 1/10. To know if two events are independent, the following questions must be true: P(A)*P(B) = P(A and B). So since (1/4)*(2/5) = 2/20 which equals 1/10, these events are independent
7 is the answer, you have to divide 475 by 78 and you get 6.08974358974359 but you round it up to 7 to make sure you have enough buses
So based on the given problem above, it says that, for one batch with 3/4 cup of brown sugar can make 6 dozen big cookies. If we are to make 15 dozen cookies, what we need to do is to divide 3/4 cup of brown sugar by 6 dozen, and we get 0.125. This means that per dozen, it is equivalent to 0.125 cup of brown sugar. If we multiply it by 15 dozens, we get 1.875 cup or 1 and 7/8 cup of brown sugar. Hope this answer helps.