Nicolas surveyed a random sample of 80 employees at a software company. he found that 29% of the employees surveyed ride a bike to work. nicolas wanted to know if it is plausible that 40% of the entire population of employees rides a bike to work. nicolas performed 100 trials of a simulation. each trial simulated a sample of 80 employees under the assumption that 40% of the population rides a bike to work. the dot plot shows the results of the simulations. what is the best conclusion for nicolas to make based on the data? a)it is not plausible that 40% of the population rides a bike to work because the data shows that a sample proportion of 29% is unlikely. b)it is not plausible that 40% of the population rides a bike to work because the data shows that a sample proportion of 29% is likely. c)it is plausible that 40% of the population rides a bike to work because the data shows that a sample proportion of 29% is unlikely. d)it is plausible that 40% of the population rides a bike to work because the data shows that a sample proportion of 29% is likely.

Option C

Step-by-step explanation:

Point diagrams show the frequency of occurrence of a series of events after a certain number of trials. In this case, the trials were 100. During each trial it would have been possible to have proportions of {0.24, 0.25, 0.26, 0.27, 0.28 0.56}

The events with the highest probability of occurrence are those with the highest number of points in the diagram.

Note that the distribution of the points resembles a bell, with a peak (greater clustering of points) between 0.35 and 0.41.

This indicates that it is more likely that the proportion of employees who go to work in bicycles will be between 0.35 and 0.41.

Then the diagram seems to indicate that a proportion less than 0.30 or greater than 0.45 is unlikely (they have less number of points)

Based on this analysis, it can be concluded that the correct option is c)

c) It is plausible that 40% of the population rides a bike to work because the data shows that a sample proportion of 29% is unlikely.

answer: option a.

step-by-step explanation:

you know that the quadrilateral opqr ( a four sided figure) is inscribed in circle. this means that all its vertices are on the circle.

then, by definition, the opposite angles of the quadrilateral are supplementary, this means that the sum of their measures is 180 degrees.

you can observe in the figure that the angles ∠opq   and the angle ∠orq   are opposite, therefore:

then, can be used to d to calculate the measure of ∠opq