Suppose you have a large number of white marbles, an equal number of black marbles, and three bags. A friend is going to choose one of the bags and then draw a marble at random from that bag. How can you distribute the marbles to maximize the probability of drawing a black marble? What will this probability be, approximately? (Hint: You can make it more than 2 /3.

Amanager recorded the number of bicycles sold by his company each quarter. his projected sales after t years is given by the expression below. which of the following statements best describes the expression? a. the initial sales of 575 bicycles increases at the rate of 4% over 4 quarters. b. the initial sales of 575 bicycles increases at the rate of 18% over 4 years. c. the initial sales of 575 bicycles increases at the rate of 4% over t quarters. d. the initial sales of 575 bicycles increases at the rate of 18% over t years.

The swimming pool is open when the high temperature is higher than 20∘c. lainey tried to swim on monday and thursday (which was 33 days later). the pool was open on monday, but it was closed on thursday. the high temperature was 30 ∘c on monday, but decreased at a constant rate in the next 33 days. write an inequality to determine the rate of temperature decrease in degrees celsius per day, d, from monday to thursday.

Labc is reflected across x = 1 and y = -3. what are the coordinates of the reflection image of a after both reflections?