Sovi.AI - AI Math Tutor

Scan to solve math questions

QUESTION IMAGE

a local restaurant is having a contest in which patrons spin a wheel to…

Question

a local restaurant is having a contest in which patrons spin a wheel to win prizes. the wheel is divided into 10 identical segments, each marked with a different prize. seven of the segments are labeled \free entrée\ or \free appetizer.\ the other three are labeled \free valet parking.\ let the digits 0 - 6 represent winning free food and 7 - 9 represent winning valet parking. using the line of random numbers, what is the best estimate of the number of free food prizes won by the next 20 patrons who spin the wheel? 5 10 12 15 21274 37971 35532 28153

Explanation:

Step1: Count the digits representing free food

Digits \(0 - 6\) represent free food.
For \(21274\): digits \(2,1,2,4\) (4 digits)
For \(37971\): digits \(3,1\) (2 digits)
For \(35532\): digits \(3,5,5,3,2\) (5 digits)
For \(28153\): digits \(2,1,5,3\) (4 digits)
Total digits representing free food \(=4 + 2+5 + 4=15\)
Since we have \(20\) patrons (20 digits in total from the 4 - digit groups: \(4+5+5+6 = 20\) digits)

Answer:

15