Of the trains that recently arrived at Georgetown Station, 16 were on time and 3 were late. Considering this data, how many of the next 95 trains would you expect to be on time?

80 Trains

Step-by-step explanation:

Number of Trains Late = 3

Number of Trains on Time = 16

Total Number of Trains = 16+3=19

Relative Frequency = Number of Success/Number of Experimental Trials

Relative Frequency of a Train being on Time

In experimental probability, we can use the relative frequency of an event in the experiment to predict for an increased number of trials.

Expected Number of Outcome = Relative Frequency of the Event X Total Number of Trials

In this case, the Total Number of Trials = 95

Number of Trains expected to be early

2. angles qrt and qst both measures 156 degrees.

step-by-step explanation:  

we have been given a diagram of a circle and we are told that measure of arc qvt is 156 degrees.  

we can see from our given diagram that angle qrt and angle qst subtends to arc qvt.

since we know that angles subtended by the same arc at the circumference are always equal.

by angle subtended by same arc theorem, measure of angle qrt and angle qst will be equal to the measure of arc qvt.

therefore, angles qrt and qst both measures 156 degrees and 2nd statement is the correct choice.