Asurvey was conducted among 100 students of age groups 7-12 years and 13-18 years to find their favorite book genre. the students had to select any one genre out of detective, adventure, and biography. out of the 50 students in the age group 7-12 years who participated in the survey, 23 liked adventure or biography. the total number of students of both age groups who liked detective books was 28. using a two-way table, compute the total number of students in the age group 13-18 years who liked adventure or biography.
a. 23
b. 27
c. 49
d. 51

Option: C is the correct answer.

The number of students in the age group 13-18 years who liked adventure or biography are:

c.  49

Step-by-step explanation:

According to the given information in the table we can make a two-way frequency table as follows:

Age group          Adventure or Biography       Detective     Total

 7-12                              23                                    27               50  

 13-18                            49                                     1                  50

Total                             72                                    28               100

Hence, the remaining 50 students belong to the age group 13-18 years.

This means that the remaining out of 50 students like detective books.

Hence, number of students in age group 7-12 years who like detective is:

50-23=27

 Hence, the number of students in the age group 13-18 years who like detective books is:

                        28-27=1.

Hence, the number of students who like adventure and biography in the age group 13-18 years is calculated as:

50-1=49 students.

b

step-by-step explanation:

the word superfluous means unnecessary

11.2

step-by-step explanation:

when doing tangent the tangent of the angle is equal to the opposite side from the angle over the adjacent side to the angle.

tan43 = x / 12

move 12 over by multiplying each side by 12

12tan43 = x

x = about 11.2