An augmented matrix for a system of linear equations in x, y, and z is given. Find the solution of the system.

1 1 4 2

0 3 1 7
0 −2 4 0

Acone with volume 1350 m³ is dilated by a scale factor of 1/3. what is the volume of the resulting cone? enter your answer in the box. m³

Consider a bag that contains 220 coins of which 6 are rare indian pennies. for the given pair of events a and b, complete parts (a) and (b) below. a: when one of the 220 coins is randomly selected, it is one of the 6 indian pennies. b: when another one of the 220 coins is randomly selected (with replacement), it is also one of the 6 indian pennies. a. determine whether events a and b are independent or dependent. b. find p(a and b), the probability that events a and b both occur.

The measurement of one angle of a right triangle is 42° what is the measurement of the third angle? (there is no picture)