Question

using other data representations algebra 1 unit 1 supplemental lesson 1 percentages and predictions task 4. one of the most common applications of statistics is the use of percentages to make predictions about future events. circle graphs and bar graphs often use percentages to represent categorical data, which can be helpful for solving problems like the ones below. wills music a. if will randomly chooses 32 songs for his playlist, how many r&b songs would you expect to appear? b. if will randomly chooses 20 songs for his playlist, how many hip - hop songs would you expect to appear? c. if will randomly chooses 400 songs for his playlist, how many songs that are not rock would you expect to appear?

Explanation:

Step1: Calculate number of R&B songs in part a

Multiply total songs by R&B percentage.
$32\times0.25 = 8$

Step2: Calculate number of Hip - Hop songs in part b

Multiply total songs by Hip - Hop percentage.
$20\times0.40=8$

Step3: Calculate number of non - Rock songs in part c

First find percentage of non - Rock songs: $1 - 0.20=0.80$. Then multiply by total songs.
$400\times0.80 = 320$

Answer:

a. 8
b. 8
c. 320