Question

the table shows musical genres and numbers of songs downloaded onto a cell phone. songs on cell phone genre number country 310 pop 275 rap 170 rock 125 other 20 the songs are shuffled and played randomly. which phrase best describes how often a country song will play on the cell phone? a about 1 out of every 2 songs b about 1 out of every 3 songs c about 1 out of every 4 songs d about 1 out of every 5 songs

Explanation:

Step1: Calculate total number of songs

Add up the number of songs in each genre: \(310 + 275+170 + 125+20\).

$$
LATEXBLOCK0
$$

Step2: Calculate the ratio of country songs

The number of country songs is \(310\). The ratio of country songs to the total number of songs is \(\frac{310}{900}\approx0.344\).
Now, check the ratios for each option:

• Option a: \(\frac{1}{2}=0.5\)
• Option b: \(\frac{1}{3}\approx0.333\)
• Option c: \(\frac{1}{4} = 0.25\)
• Option d: \(\frac{1}{5}=0.2\)

Since \(0.344\approx0.333\) (the value of \(\frac{1}{3}\))

Answer:

B. about 1 out of every 3 songs