Aresearch group interested in understanding the effect of listening to classical music on leaming mathematics conducted a study. one hundred students were randomly assigned to
one of two groups. the first group listened to classical music as they learned a new lesson. the second group learned the same lesson with no music playing. both groups were tested
on the new material to determine how much they learned. the results for the two groups were compared. what kind of study is this?

Is it true that product of 3 consecutive natural numbers is always divisible by 6? justifyyour answer

Omar is going on a road trip! the car rental company offers him two types of cars. each car has a fixed price, but he also needs to consider the cost of fuel. the first car costs $90 to rent, and because of its fuel consumption rate, there's an additional cost of s0.50 per kilometer driven.

Does the function satisfy the hypotheses of the mean value theorem on the given interval? f(x) = 4x^2 + 3x + 4, [−1, 1] no, f is continuous on [−1, 1] but not differentiable on (−1, 1). no, f is not continuous on [−1, 1]. yes, f is continuous on [−1, 1] and differentiable on (−1, 1) since polynomials are continuous and differentiable on . there is not enough information to verify if this function satisfies the mean value theorem. yes, it does not matter if f is continuous or differentiable; every function satisfies the mean value theorem.