On his commute to work, a man travels at a certain speed taking side roads for 30 miles. On his commute home, he travels 10 miles per hour faster on the highway for 45 miles. It takes him this same amount of time to travel to and from work. What is his speed on his way home from work?

Finally, the arena decides to offer advertising space on the jerseys of the arena’s own amateur volley ball team. the arena wants the probability of being shortlisted to be 0.14. what is this as a percentage and a fraction? what is the probability of not being shortlisted? give your answer as a decimal. those shortlisted are entered into a final game of chance. there are six balls in a bag (2 blue balls, 2 green balls and 2 golden balls). to win, a company needs to take out two golden balls. the first ball is not replaced. what is the probability of any company winning advertising space on their volley ball team jerseys?