Photo AI
Question 1
The songs on Gavin’s phone are shown in the table below. Singer Number of songs Usher Pharrell 15 Ed Sheeran 4 Hozier 3 Gavin has 30 songs on his phone, in tota... show full transcript
Step 1
Answer
To find the number of songs by Usher, we can use the total number of songs and subtract the number of songs from the other artists.
Starting with 30 total songs:
Number of songs by Pharrell = 15
Number of songs by Ed Sheeran = 4
Number of songs by Hozier = 3
Calculating the sum of Pharrell, Ed Sheeran, and Hozier's songs:
Now, subtract this from the total:
Thus, there are 8 songs by Usher.
Step 2
Step 3
Answer
To calculate the probability that a randomly played song is by Ed Sheeran or Pharrell, we add the number of songs from both artists and divide by the total number of songs:
The number of songs by Ed Sheeran is 4 and by Pharrell is 15:
Thus, the probability is \frac{19}{30}.
Step 4
Answer
To calculate how many different ways Gavin can play a song by Ed Sheeran and then a song by Hozier, we multiply the number of songs he has from each artist:
Number of Ed Sheeran's songs: 4
Number of Hozier's songs: 3
The total combinations are:
Therefore, Gavin can play the songs in 12 different ways.
Report Improved Results
Recommend to friends
Students Supported
Questions answered