Rosa throws a ball. The equation d = −t2 + 4t + 5 represents the path taken by Rosa's ball where d is the height of the ball (in feet) after t seconds. For this throw, how many times was Rosa's ball 8 feet in the air?

Ling listed all of the factors of a mystery number: 1,2,4,8,16,32 what is the mystery number?

Aclassroom is made up of 11 boys and 14 girls. the teacher has four main classroom responsibilities that she wants to hand out to four different students (one for each of the four students). if the teacher chooses 4 of the students at random, then what is the probability that the four students chosen to complete the responsibilities will be all boys?

According to a study conducted in 2015, 18% of shoppers said that they prefer to buy generic instead of name-brand products. suppose that in a recent sample of 1500 shoppers, 315 stated that they prefer to buy generic instead of name-brand products. at a 5% significance level, can you conclude that the proportion of all shoppers who currently prefer to buy generic instead of name-brand products is higher than .18? use both the p-value and the critical-value approaches.