A prisoner is given a chance to win her freedom. She is given two boxes and some marbles. She must put the marbles into the boxes.
Afterwards, she will be blindfolded, and will choose a box and select a marble. If she draws
a white marble she will go free; otherwise, she will remain in prison.

The prisoner has 10 white marbles and 10 black marbles. She can put as many of the
marbles of each colour as she likes into each box. She must use up all the marbles.
How can she maximise the probability that she will go free? In that case, what is the
probability that she will go free?

Mathematical solution?

Which of the following represents the zeros of f(x) = 6x3 − 31x2 + 4x + 5? −5, one third , one half 5, − one third , one half 5, one third , − one half 5, one third , one half

(50 ) mrs. julien’s and mrs. castillejo’s classes are selling cookie dough for a school fundraiser. customers can buy packages of macadamia nut chip cookie dough and packages of triple chocolate cookie dough. mrs. julien’s class sold 25 packages of macadamia nut chip cookie dough and 30 packages of triple chocolate cookie dough for a total of $221.25. mrs. castillejo’s class sold 5 packages of macadamia nut chip cookie dough and 45 packages of triple chocolate cookie dough for a total of $191.25. (a) write the system of equations that model the problem. be sure to explain which equation represents which situation. (b) find the cost of each type of cookie. show your work. (c) explain which method you used to solve the system and why you chose that method.

If sr is 4.5cm and tr is 3cm, what is the measure in degrees of angle s? a. 56.3 b. 33.7 c. 41.8 d. 48.2