HELP THIS IS DUE TODAY A teacher surveys a sample of students from lake middle school. He asks the students where they’d like to go for a field trip. He records the results:
80 choose the aquarium
60 choose the science center
30 choose the planetarium
40 choose the farm
2. What is the relative frequency of a student choosing the aquarium? Give your answer as a decimal rounded to the nearest hundredth.

210 students

Step-by-step explanation:

80 students chose the aquarium.

60 students chose the science center.

30 students chose the planetarium.

40 students chose the farm.

The students can't vote for more than one place, so you just add all the numbers together.

80 + 60 + 30 + 40 = 210 students

the correct answer is the second option

let's add {f(x)=x+1}f(x)=x+1 and {g(x)=2x}g(x)=2x together to make a new function.

f(x)+g(x) =(x+1)+(2x)=x+1+2x=3x+1

let's call this new function hh. so we have:

{h(x)}={f(x)}+{g(x)}{=3x+1}h(x)=f(x)+g(x)=3x+1

we can also evaluate combined functions for particular inputs. let's evaluate function hh above for x=2x=2. below are two ways of doing this.

method 1: substitute x=2x=2 into the combined function hh.

h(x)

h(2)

​    

=3x+1

=3(2)+1

=7

​ since h(x)=f(x)+g(x)h(x)=f(x)+g(x), we can also find h(2)h(2) by finding f(2) +g(2)f(2)+g(2).

first, let's find f(2)f(2):

f(x)

f(2)

​    

=x+1

=2+1

=3

​  

now, let's find g(2)g(2):

g(x)

g(2)

​    

=2x

=2⋅2

=4

​  

so f(2)+g(2)=3+4=\greend7f(2)+g(2)=3+4=7.

notice that substituting x =2x=2 directly into function hh and finding f(2) + g(2)f(2)+g(2) gave us the same answer!