Question

ms knight wants to throw a pizza party for all the 7th graders.in a random sample 13 ou of 20 7th graders preferred peperonie pizza the other 7 preferred cheeze. Based on the data out of 400 total 7th graders aproaxmently how many prefer peperoni

Answer 1

To estimate how many out of 400 seventh graders prefer pepperoni based on the sample, a proportion is used, resulting in approximately 260 students preferring pepperoni pizza.

Step-by-step explanation:

Ms. Knight wants to throw a pizza party for the seventh graders, and in a random sample, 13 out of 20 seventh graders preferred pepperoni pizza. To estimate how many out of 400 seventh graders would prefer pepperoni, we use a proportion. The proportion of students who prefer pepperoni in the sample is 13/20. To find the number who would prefer pepperoni out of 400, we set up a cross-multiplication:

• 13/20 = x/400

Solving this equation for x (the number of 7th graders who prefer pepperoni out of 400) gives us:

• 20x = 13 * 400
• 20x = 5200
• x = 5200 / 20
• x = 260

So, approximately 260 seventh graders would prefer pepperoni pizza out of 400 based on the sample data.