Theo is using this spinner to predict the favorite movie genre of randomly chosen students in his school. A spinner with 5 sections labeled action, drama, sci-fi, horror, comedy. If Theo spins the spinner 60 times, how many times should he expect it to land on "Action"? 10 12 15 20

12 times.

Step-by-step explanation:

Given:

A spinner with 5 sections labeled action, drama, sci-fi, horror, comedy.

Theo spins the spinner 60 times.

To find: Number of times, out of 60, the spinner lands on "Action".

Solution:

Here, total number of outcomes .

Number of favorable outcomes .

So, probability that the spinner lands on "Action" .

Now, Theo spins the spinner 60 times.

So, number of times the spinner lands on "Action" .

Hence, Theo should expect the spinner to land on "Action" times.

the correct functions are

h(x) = 3x + 2  

g(x) = 2^x

step-by-step explanation:

i proceed to calculate the different values ​​of k (x)

case 1)  k(x) = g(x) ∘ h(x)

g(x) ∘ h(x)=g(h(x))

k(x) = [2]^[3x + > is the option  4. k(x) = 2^(3x + 2 )

case 2)  k(x) = g(x) + h(x)

k(x) = [2^x]+[3x + 2]=2^x+3x+> is the option  1.) k(x) = 2^x + 3x + 2

case 3)k(x) = h(x) ÷ g(x)

k(x) =  [3x + 2]/[2^x]=3x/(2^x)+2/(2^x)=3x*(2^-x)+2^(1-x)

is the option  3.)   k(x) = (3x)2^(-x) + 2^(-x + 1 )

case 4)k(x) = g(x) - h(x)

k(x) =  [2^x]-[3x + 2]=2^x-3x-> is the option  2.) k(x) = 2^x - 3x - 2 

case 5)  k(x) = g(x) × h(x)

k(x) = [2^x]*[3x + > is the option  5.) k(x) = 2^x(3x + 2)

case 6)k(x) = h(x) ∘ g(x)

h(x) ∘ g(x)=h(g(x))

k(x)=3*[2^x]+> is the option  6. k(x) = 3(2^x) +2