Find the cosine of the angle between the vectors +10 and 11+8. (Use symbolic notation and fractions where needed.)

Galen sold tickets of his church’s carnival for a total of $2,820. children’s tickets cost $3 each and adult tickets cost $5 each. the number of children’s tickets sold was 30 more than 3 times the number of adult tickets slod. how many children’s ticket and how many adult tickets did he sell?

The ratio of wooden bats to metal bats in the baseball coach’s bag is 2 to 1. if there are 20 wooden bats, how many metal bats are in the bag?

If p(a) = 0.70 and p(b) = 0.20, then a and b are independent events if