The results for a survey of 130 students who were selected randomly are listed below: •70 students have a cell phone plan with company x •32 students have a cell phone plan with company y •28 students do not have a cell phone the total population of students was 390. based on the data, what is the best approximation for the total number of students who have a cell phone plan with company x? a) 210 b) 96 c) 84 d) 724

A) 210

Step-by-step explanation:

The percentage of students who have a cell phone plan with company x is student with plan x over total.The total is 130

P(x) = 70/130

The number of students with cell phone  company x is  found by multiplying the total number of students times   the percentage of students with company x

Students with company x = total * P(x)

                                          = 390 * 70/130

                                             = 210

A) 210

Step-by-step explanation:

70 students have company X, out of the sample size 130. This forms the fraction 70/130.

n students have company X, out of the population 390. The n is simply a placeholder for a number. This forms the fraction n/390

Equate the two fractions, cross multiply, then divide both sides by 130 to solve for n

Doing all that gives us the following

70/130 = n/390

70*390 = 130*n cross multiply

27300 = 130n

130n = 27300

130n/130 = 27300/130 divide both sides by 130

n = 210

Out of the entire population, the best approximation to the number of students who have company X is 210 people.

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