Emanuel surveyed a random sample of 505050 subscribers to Auto Wheel magazine about the number of cars that they own. Of the subscribers surveyed, 151515 own fewer than 222 vehicles. There are 340340340 subscribers to Auto Wheel magazine. Based on the data, what is the most reasonable estimate for the number of Auto Wheel magazine subscribers who own fewer than 222 vehicles?

The most reasonable estimate for the number of Auto Wheel magazine subscribers who own fewer than 2 is 102

Step-by-step explanation:

We can build an estimate from a sample, and this estimate will be the best estimate for the proportion of the population.

Sample:

50 subscribers

15 own fewer than 2 vehicles

Proportion:

15/50 = 0.3 = 30% own fewer than 2 vehicles.

Based on the data, what is the most reasonable estimate for the number of Auto Wheel magazine subscribers who own fewer than 2 vehicles?

340 subscribers

The most reasonable estimate for this number is 0.3*340.

0.3*340 = 102

The most reasonable estimate for the number of Auto Wheel magazine subscribers who own fewer than 2 is 102

see explanation

step-by-step explanation:

since the sequence is geometric there is a common ratio r between consecutive terms, that is

r = 4 ÷ - 2 = - 2

r = - 8 ÷ 4 = - 2

r = 16 ÷ 8 = - 2

the next term - 13 must be incorrect as it should be - 32 for the sequence to be geometric.

the first 4 terms are therefore geometric with common ratio r = - 2