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.

options a,b,c are the right answer.

step-by-step explanation:

a linear parent function is always represented as y = x

if we write this function in the form of y=mx+c

⇒

or  

now if we plot a graph we will find these characteristics:

1) y intercept of the graph is zero so its a straight line passing through origin.

2) as we can see in both the forms of function written, values of x and y may be either positive or negative for the positive slope means points on the graph are either in first quadrant or in third one.

3) it's slope is one.

step-by-step explanation:

infinity is the answer