Ahigh school administrator determined that 22% of the students worked part-time after school with an +-8%
margin of error. if the school has 1420 students, which would represent the possible number of students that
work part-time after school?
199 to 426 students
114 to 312 students
195 to 430 students
47 to 178 students

199 to 426 students

Step-by-step explanation:

Total number of students= 1420(number of students that work part time after school hours + number of students that don't)

number of students that work part time after school hours =22% +/-8% margin error. The percentage ranges from (22-8 )= 14% to (22+8) =30℅

The possible number of students that

work part-time after school would be between

(14/100)×1420=0.14×1420=198.8 which is approximately 199 students(rounding up to the nearest whole number) and

(30/100)×1420=0.30×1420=426 students.

Option 1 is the correct option

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