Which of the following is a pair of events which are mutually exclusive? a. rolling a 4 on a six-sided die and on a four-sided die b. making rice and making corn c. sleeping in late and waking up early d. going to work and riding the bus

C. Sleeping in late and waking up early

Step-by-step explanation:

Among the pair of events: a. rolling a 4 on a six-sided die and on a four-sided die b. making rice and making corn d. going to work and riding the bus are not mutually exclusive since they can occur at the same time.

By definition, mutually exclusive events are events that may occur at the exact same time such as it is impossible of tossing a coin and getting both head and tail at the same time.

It is impossible to sleep late and wake up early at the same exact time. It is possible to get a 4 when you roll a six-sided die and a four-sided die at the same time. It is also possible to make a rice and make a corn at the same time. Lastly, it is possible that you ride a bus upon going to work.

answer: translate the circles so they share a common center point and dilate circle y by a scale factor of 3.