Maths Multiple Problems

1. zorba and English mastiff with a mass of 155 kg jumps forward horizontally at a speed of 6 m/s into a boat that is floating at rest. after the jump, the boat and zobra move with a velocity of 2.2 m/s forward. calculate the boats mass

2. In a distribution with a standard deviation of eight, an individual score of 42 corresponds to a Z score of -0.5. What is the mean of this distribution?

3. The distribution of SAT scores is normal with u=500 and o= 100

a. What SAT score, X value, separate the top 15% of the distribution from the rest?
b. What SAT score, X value, separates the top 10% of the distribution from the rest?
c. What SAT score, X value, separates the top 2% of the distribution from the rest?