Determine whether the given events are independent using the fact that P(A and B) = P(A) · P(B) only when events A and B are independent.

The manager of a produce stand wants to find out whether there is a connection between people who buy fresh vegetables and people who buy fresh fruit. The manager collects data on 200 randomly chosen shoppers, as shown in the two-way frequency table. Determine whether buying fresh vegetables and buying fresh fruit are independent events.

The events ? independent.

The position of a moving particle is given by the position function: f(t)=-9t-t^2-0.2t^3+0.1t^4 a. at what time does the particle reverse direction? b. when is the displacement positive? (round one decimal place and answer in interval notation) c. when is the displacement negative? (round one decimal place and answer in interval notation) d. when is the particle’s acceleration positive? (round one decimal place and answer in interval notation) e. when is the particle’s acceleration negative? (round one decimal place and answer in interval notation)

Afamily has five members. a mom, a dad, two sisters, & a brother. the family lines up single file. what is the probabillity that the mom is at the front of the line

The table below shows the function f. determine the value of f(3) that will lead to an average rate of change of 19 over the interval [3, 5]. a. 32 b. -32 c. 25 d. -25