Henrietta surveyed her high school classmates on their favorite subjects. she recorded their gender and favorite subject. she concluded that if she surveyed 500 male and 500 female high school students she would find a higher number of males that preferred history than the number of females that preferred math. was she correct? | male | female english | 4 | 5 history | 7 | 3 math | 10 | 6 science| 8 | 10

No, she was not  correct.

There are less number of males that preferred history(121) than the number of females that preferred math(125)

We are given a table of values as:

Subjects    | Male     |    Female

English      |    4        |      5

History      |    7         |      3

Math          |   10        |      6

Science     |    8         |     10

Total          |   29        |     24

Hence, the probability of male who prefer history is: 7/29

Hence, the number of male who prefer history is:

(7/29)×500=120.6897

which is approx 121.

and the probability of female who prefer math are: 6/24

Hence, the number of female who prefer math is:

(6/24)×500=125

< coa = 150 ( given)

as ba and bc are tangents

so oc and oa is perpendicular to cb and ab respectively because in circle normal passes through centre

so in quadrilateral oabc

< coa + < oab + < ocb + < abc = 360

150 +90+90 + < abc = 360

330 + < abc = 360

< abc = 360 -330 = 30

so < abc = 30

⭐dhruv⭐