Question

Brittney wants to simulate a random selection from a large population of 30% science teachers and 70% English teachers who attended a conference. Which TWO simulations are appropriate for this situation?

A) Use a coin. Designate heads for science teachers and tails for English teacher.
B) Use a spinner with 7 equal sections.
C) Cut 10 slips of paper, equal in size. Use 3 slips for science teachers and 7 slips for English teachers and randomly select from the 10 slips of paper.
D) Cut 12 slips of paper, equal in size. Use 6 slips of paper for science teachers and 6 slips of paper for English teachers and randomly select from the 12 slips of paper.
E) Use a spinner with 10 equal sections. Three of the sections are red, and 7 of the sections are blue.

Answer 1

The best simulations for Brittney to randomly select from a population of 30% science teachers and 70% English teachers are using slips of paper with a 3 to 7 ratio (Option C) and a spinner with 10 sections in a 3 to 7 color split (Option E).

Step-by-step explanation:

Brittney wants to simulate a random selection from a large population of 30% science teachers and 70% English teachers who attended a conference. The appropriate simulations for this situation are:C) Cut 10 slips of paper, equal in size. Use 3 slips for science teachers and 7 slips for English teachers and randomly select from the 10 slips of paper. And E) Use a spinner with 10 equal sections. Three of the sections are red, and 7 of the sections are blue.

Those two methods provide a proportional and random selection that reflects the composition of the population. Option C gives a direct 30-70 split with slips of paper and Option E uses a spinner to achieve the same probability. The other options provided do not accurately represent the desired probabilities, such as Option A which assumes a 50-50 split, or Option D which also represents a 50-50 split rather than the 30-70 split required.