The 225 men and 175 women in a group were each asked whether they had a blank card. 138 women said they did, and 41 men said they did not. One member of the group is selected at random. Showing your working, decide whether the events ‘a woman is selected’ and ‘a person who has a blank card is selected’ are independent.

Josephine has a great garden with and area of 2x2 + x - 6 square feet

Solve the following simultaneous equation by using an algebraic method (either substitution or elimination) 2x + 3y=-4 4x-y=11

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)