In Nebraska, Mr. Dukarelli's 11th grade class consisting of 27 students was surveyed and 34.6 percent of the students reported that they had at least two siblings. The average 11th grade class size in the state is 27. If the students in Mr. Dukarelli's class are representative of students in the state's 11th grade classes and there are 1600 11th grade in the state, which of the following best estimates the number of 11th grade students in the state who have fewer than two siblings? SHOW YOUR WORK PLEASE!!

a. 18,200
b. 28,300
c. 30,600
d. 43,200

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sqdancefan sqdancefan · Answer 1 · 2021-03-19T21:24:17+01:00

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Answer:

b. 28,300

Step-by-step explanation:

The estimated number of 11th grade students in the state is ...

(1600 classes)(27 students/class) = 43,200

About 34.6% are estimated to have 2 or more siblings, so the remaining 100%-34.6% = 65.4% are estimated to have fewer than 2 siblings.

Translated to a number of students, that percentage is ...

0.654 × 43,200 = 28,252.8 ≈ 28,300

A good estimate of the number of students with fewer than 2 siblings is 28,300.