A food truck did a daily survey of customers to find their food preferences. The data is partially entered in the frequency table. Complete the table to analyze the data and answer the questions: Likes hamburgersDoes not like hamburgersTotal
Likes burritos49 92
Does not like burritos7538
Total 81205

Part A: What percentage of the survey respondents did not like either hamburgers or burritos? (2 points)
100 POINTS AND BRAINLIEST
Part B: Create a relative frequency table and determine what percentage of students who like hamburgers also like burritos. (3 points)

Part C: Use the conditional relative frequencies to determine which data point has strongest association of its two factors. Use complete sentences to explain your answer. (5 points)

1. Let's complete the information in the frequency table:

                            Like Hamburgers ↓  Does Not Like Hamburgers↓   Total↓

Likes burritos →                 29                             41                                70

Does not like burritos →    81                               54                              135

Total →                                110                              95                             205

Part A. Like the question is either hamburgers OR burritos, we will sum 41 respondents that do not like hamburgers but like burritos, 81 that do not like burritos but like hamburgers and 54 that don't like neither hamburgers nor burritos.

This means our equation will look something like this:

                                          41 + 81 + 54 = 176

Percentage =  = 85.9% (rounding to the next tenth)

Part B:  Create a relative frequency table and determine what percentage of students who like hamburgers also like burritos.

                          Like Hamburgers↓    Does Not Like Hamburgers↓      Total↓

Likes burritos  →        14.1%                             20%                                   34.1%

Does not like burritos  →   39.5%                  26.4%                                65.9%

Total →                               53.6%                    46.4%                                 100%          

To calculate this percentage we just take the number of respondents who like hamburgers and from that total we found that 29 also like burritos.

Percentage =  = 14.1% (rounding to the next tenth)

Part C: There is a strong association between "like hamburgers" and "does not like burritos" because there are 81 respondents of the survey out of 110 (73%) that like hamburgers but not like burritos. On the other hand, there is also a strong association between "likes burritos" and "does not like hamburgers": 41 out of 70 respondents (59%) actually like burritos but don't like hamburgers. Therefore, most likely a person that like hamburgers does not like burritos and a person that likes burritos does not like hamburgers.

option (b) is correct

step-by-step explanation:

to find the solution of this system, we need to convert it into reduced row-echelon form. we have,

after applying row operations r2 -> r2/2 and r3 -> r3/3, we get,

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