Answer this question:Andy is a lawyer who's working on two lawsuits. The first lawsuit has a 30% chance of paying out $5,000,000 upon a win and $0 if he loses it. The second lawsuit has a 50% chance of paying out $1,000,000 if Andy loses and a 50% chance of paying out $2,000,000 if he wins. Expressed as a percentage, how much more likely is it that Andy loses both lawsuits compared to winning both of them?
First find the probability that Andy will lose the first lawsuit: 100% - 30% = 70%. Then multiply that probability by the probability he loses the second lawsuit: 70% * 50% = 35%. Then multiply the probabilities of Andy winning each lawsuit to find the probability he wins them both: 30% * 50% = 15%. Then subtract the probability Andy wins both lawsuits from the probability he loses both lawsuits to find the difference: 35% - 15% = 20%.
The answer is 20.

Answer this question:James listens to super-fast music. It is 200 beats per minute. He listens to 2 hours of music a day. How many beats does he hear per week?
He listens to 2 * 60 = 120 minutes of music a day. So he hears 200 * 120 = 24000 beats per day. That means he hears 24,000 * 7 = 168,000 beats per week.
The answer is 168000.

Answer this question:Sam earns $10 an hour on Math tutoring. For the first month, he earned $200; and for the second month, he earned $150 more than the first month. How many hours did he spend on tutoring for two months?
For the second month, Sam earned $200 + $150 = $350. So, he earned a total of $200 + $350 = $550 for the first two months. Therefore, he spent $550 / $10 = 55 hours on math tutoring for the first two months.
The answer is 55.

Answer this question:Yolanda leaves home for work at 7:00 AM, riding her bike at 20 miles per hour. 15 minutes after she leaves, her husband realizes that she forgot her lunch, and jumps in the car to bring it to her. If he drives at 40 miles per hour and follows the exact same route as Yolanda, how many minutes will it take him to catch her?
Let x be the number of minutes it takes Yolanda's husband to catch her. We know that Yolanda will spend a total of x + 15 minutes riding her bike since she left 15 minutes before her husband. The distance each person travels is equal to their travel speed times the number of minutes they spend traveling. That means Yolanda's distance is equal to 20 mph * (x + 15) and her husband's distance is equal to 40 mph * x. Yolanda's husband catches up to her when they've both traveled the same distance, which is when 20(x + 15) = 40x. We can simplify this equation by multiplying 20 through the parentheses to get 20x + 300 = 40x. Then we can subtract 20x from each side to get 300 = 20x. Finally, we divide both sides by 20 to find that x = 15.
The answer is 15.