Dean collected data on the favorite sports of the students of two grades. the table shows the relative frequencies of rows for the data collected:

favorite sport
swimming running volleyball row totals
grade 8 0.17 0.24 0.05 0.46
grade 9 0.14 0.18 0.22 0.54
column totals 0.31 0.42 0.27 1

based on the data, which statement is most likely correct?
in grade 8, 17 students liked swimming.
in grade 9, 27% of students liked volleyball.
in grade 9, 14 students liked running.
in grade 9, 18% of students liked running.

Step-by-step explanation:

Relative frequency is defined as the quotient between the absolute frequency and the total number of students.

In other words, the relative frequency is aimed to show the percentage representation of a data compared to the whole.

For example, according to the given table, in Grade 8, 17% of students liked swimming, it would be wrong to say that 17 students liked swimming, because relative frequency shows the percentage representation, that's it.

Having said that, the right answer is the last choice: In Grade 9, 18% of students liked running, because it's using properly the relative frequency.

f(x) = - 2/3x + 5; f(5/2)

substitute 5/2 in for x:

f(5/2) = -2/3(5/2) + 5

simplify the right side:

f(5/2) = -5/3 + 5

f(5/2) = 10/3

answer:

f(5/2) = 10/3

i hope this you!