there are 600 employees at danis office. she asks a random sample of employees how they get to the office…

there are 600 employees at danis office. she asks a random sample of employees how they get to the office. the results show that 7 employees in the sample drive to the office and 23 take public transportation.\napproximately what fraction of all employees can dani expect to drive to the office?\n$\frac{7}{30}$\nhow can dani estimate the total number of employees who drive to the office?\nfind $\frac{7}{30}$ of 600.\nabout how many employees at the company can dani expect to drive to the office?\n20 employees\n30 employees\n140 employees\n460 employees

there are 600 employees at danis office. she asks a random sample of employees how they get to the office. the results show that 7 employees in the sample drive to the office and 23 take public transportation.\napproximately what fraction of all employees can dani expect to drive to the office?\n$\frac{7}{30}$\nhow can dani estimate the total number of employees who drive to the office?\nfind $\frac{7}{30}$ of 600.\nabout how many employees at the company can dani expect to drive to the office?\n20 employees\n30 employees\n140 employees\n460 employees

Answer

Answer:

140 employees

Explanation:

Step1: Calculate sample fraction

The sample has 7 employees who drive and 23 who take public - transport, so the sample size is (7 + 23=30). The fraction of employees who drive in the sample is (\frac{7}{30}).

Step2: Estimate total number

To estimate the number of employees who drive in the whole company of 600 employees, we multiply the fraction of drivers in the sample by the total number of employees in the company. So we calculate (\frac{7}{30}\times600). [ \begin{align*} \frac{7}{30}\times600&=7\times\frac{600}{30}\ &=7\times20\ & = 140 \end{align*} ]