Among U. S. adolescents ages 12-17, the amount of time (in minutes per week) spent listening to streaming audio media (music, podcasts, etc.) is Normally distributed with a mean of 247 minutes and a standard deviation of 103 minutes. Based on this information, what percentage of a random sample of 500 U. S. adolescents ages 12-17 listen to more than 180 minutes of streaming media each week

74.23% of a random sample of 500 U.S. adolescents ages 12-17 listen to more than 180 minutes of streaming media each week.      

Step-by-step explanation:

We are given the following information in the question:

Mean, μ = 247 minutes

Standard Deviation, σ = 103 minutes

Sample size,n = 500

We are given that the distribution of time is a bell shaped distribution that is a normal distribution.

Formula:

P(more than 180 minutes)

P(x > 180)

Calculation the value from standard normal z table, we have,  

74.23% of a random sample of 500 U.S. adolescents ages 12-17 listen to more than 180 minutes of streaming media each week.

(8+64)^2= 5184 < answer

step-by-step explanation:

2^3 = 8

4^3= 64

(8+64)^2 = 5184

25.3

step-by-step explanation:

1st step

add 3+6

=9

multipy 9*3

=37