6. For a certain basketball player, the probability of success on any given free throw attempt is 0.7. What is the least number of free throw attempts for which the result is expected to be at least 18 successes?
A. 21
B. 25
C. 26
D. 43
E. 44
7. Some consecutive terms of a geometric sequence are below.
…, 64, 48, 36, 27, …
What is the common ratio of this sequence?
8. Sets A, B, and C are defined below
A = {1, 2, 3, 4, 5, 6, 7, 8, 9}
B = {3, 6, 9}
C = {2, 4, 6, 8}
A number will be randomly selected from set A. What is the probability that the selected number will be an element of set B and an element of set C ?
Use the following information to answer questions 9–11.
In a science class, students measured the weights, in pounds, of 23 pumpkins and counted the seeds in each pumpkin. A scatterplot of the data is shown below. To the nearest pound, the average weight of these pumpkins was 10 pounds, and the average number of seeds per pumpkin was 444 seeds. An equation of the regression line of best fit is y = 15x + 294, where x is the weight, in pounds, and y is the number of seeds.
9. According to the regression line of best fit, what is the predicted number of seeds for a pumpkin weighing 27 pounds?
F. 309
G. 336
H. 405
J. 699
K. 714
10. When one of the pumpkins is removed from the group of 23 pumpkins, the average number of seeds per pumpkin for the remaining 22 pumpkins is 10 fewer than it was for all 23 pumpkins. How many seeds are in the removed pumpkin?
A. 224
B. 434
C. 454
D. 516
E. 664
11. An object that weighs 1 pound on Earth has a mass of 0.45 kilograms. What is the mass, to the nearest 0.1 kilogram, of a pumpkin that weighs the same as the average weight of the 23 pumpkins?
F. 4.5
G. 10.4
H. 14.9
J. 22.2
K. 51.1