Solve the following problems (show your work). (a) (1 point). Give example of 2 x 2 non-zero matrices A, B, C such that AB = AC but B+C. (b) (1 point). Write 2 x 2 invertible matrices A and B such that A+B is not invertible. (c) (2 points). Write 3 x 3 singular matrices A and B such that A - B is non-singular.

What can be said about the relationship between triangles and circles? check all that apply. a) many circles can be inscribed in a given triangle b) exactly one triangle can be inscribed in a given circle c) exactly one circle can be inscribed in a given triangle d) many triangular shapes can be circumscribed about a given circle

Ateacher noticed 5/8 of the students were wearing either blue shorts or white shorts. write two different ways this could be done.

In a survey of 1015 adults, a polling agency asked, "when you retire, do you think you will have enough money to live comfortably or not. of the 1015 surveyed, 534 stated that they were worried about having enough money to live comfortably in retirement. construct a 90% confidence interval for the proportion of adults who are worried about having enough money to live comfortably in retirement.