Based on the graph, how many students in a class of 360 students would be expected to choose hip-hop or rock as their favorite type of music? rock 20% hip-hop 40% and 30% country i know they all total out to be 90 not sure how to get the answer answer choices are 240/80/180 i actually got 180 for the answer but not sure

240 students

Step-by-step explanation:

20% of the students like rock and 40% like hip-hop. That means that 60% of the 360 students would be expected to choose one of the two. Because you don't know the other 10%, you would assume that they would have the same ratio of students who like country to those who like rock and hip-hop. 60 is 2/3 of 90 so you would expect 2/3 of the students to like hip-hop or rock. 2/3 of 360 is 240. (180 would be 50%, but you were close!)

300pi

step-by-step explanation:

step-by-step explanation:

part a. the differences are decreasing, so we know the sequence is not arithmetic. the ratios are constant (=3/4), so we know the sequence is geometric.

part b. from part a, we know the common ratio is 3/4, so each term is 3/4 of the one before. the initial term is the number of gallons at h=1.

g[h] = (3/4)·g[h-1]

g[1] = 384 . . . . initial value required for a recursive definition

part c. the general formula for a geometric sequence is

a[n] = a[1]·r^(n-1)

we have a[1] = 384, r = 3/4, and the term number given by h. the formula that follows is

g[h] = 384·(3/4)^(h-1)

part d. filling in the value and doing the arithmetic, we have

g[12] = 384·(3/4)^11 ≈ 384·0.042235136 ≈ 16.2183 . . gallons

part e. each gallon is 4 quarts, so

16.2183 gal × 4 qt/gal = 64.8732 qt