The language arts teacher wants to know whether the students in the entire school prefer a debate or an speech. The teacher draws a random sample from the following groups: All teachers in the school All boys in each grade All students in the speech club All students in each grade Which group best represents the population she should take a random sample from to get the best results for her survey? (5 points) a All teachers in the school b All boys in each grade c All students in the speech club d All students in each grade

D, all the students in each grade

Step-by-step explanation:

Since the teacher wants to find out the opinion of the the entire school, they should take a random sample from each grade because it is representative of the population they want to sample. If it was just boys, it would exclude the girls, and vice versa for the girls. The teachers aren’t part of the population the teacher wants to survey, so the teacher shouldn’t survey them. Thus, that leaves the random sample from each grade.

5x+40

5(x + 8)

7x - 49

7(x - 7)

18x + 9

9(2x + 1)

15x - 10

5(3x - 2)

step-by-step explanation:

for number one all you have to do is factor 5 out of 5x + 40

for number 2 factor 7 out of 7x - 49

for number three factor 9 out of 18x + 9

for number four factor 5 out of 15x - 10

answer: the answer is (b) amie should have multiplied

step-by-step explanation: given a sphere and a cylinder with same radius and height.

let, 'r' be the radius of the cylinder and sphere and 'h' be the height of the cylinder. according to the question,

r = h.

now, the volume of the sphere will be

and the volume of the cylinder will be

therefore, we have

thus, ammie should have multiplied the volume of the sphere