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blondinia [14]
3 years ago
7

Trey had 440 songs on his mp3 player.now he has 473 songs.what is the percent of increase in the number of songs on his mp3 play

er?
round to the nearest tenth if necessary.
Mathematics
1 answer:
olga55 [171]3 years ago
7 0

Answer:

There is 7.5% increase in the number of songs on his mp3 player.

Step-by-step explanation:

Original Songs in mp3= 440 songs

Final Songs in mp3= 473 songs

We need to find percent of increase in the number of songs on his mp3 player.

The formula used is: Percent \ of \ increase = \frac{Final \ Value \ -\ Original \ Value}{Original \ Value} \times 100

Now putting values and finding percent of increase

Percent \ of \ increase = \frac{Final \ Value \ -\ Original \ Value}{Original \ Value} \times 100\\Percent \ of \ increase = \frac{473-440}{440} \times 100\\Percent \ of \ increase = 7.5\%

So, there is 7.5% increase in the number of songs on his mp3 player.

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5 0
2 years ago
Thomas wants to invite Madeline to a party. He has an 80% chance of bumping into her at school. Otherwise, he'll call her on the
mash [69]

Answer:

The probability of Thomas inviting Madeline to the party over the phone is 0.143.

Step-by-step explanation:

Consider the tree diagram below.

The events are denoted as follows:

<em>A</em> = Thomas bumps into Madeline at school

<em>B</em> = Thomas call Madeline on the phone

<em>X</em> = Thomas asks Madeline to the party

The information provided is:

P (A) = 0.80

P (B) = 1 - P (A) = 1 - 0.80 = 0.20

P (X|A) = 0.90

⇒ P (X'|A) = 1 - P (X|A) = 1 - 0.90 = 0.10

P (X|B) = 0.60

⇒ P (X'|B) = 1 - P (X|B) = 1 - 0.60 = 0.40

The conditional probability of event <em>U</em> given that another events <em>V</em> has already occurred is:

P(U|V)=\frac{P(V|U)P(U)}{P(V)}

The law of total probability states that:

P(V)=P(V|U)P(U)+P(V|U')P(U')

In this case we need to determine the probability that Thomas invites Madeline to the party over the phone, i.e. P (B|X).

Use the law of total probability to determine the value of P (X) as follows:

P(X) = P(X|A)P(A)+P(X|B)P(B)

         =(0.90\times 0.80)+(0.60\times 0.20)\\=0.72+0.12\\=0.84

Compute the value of P (B|X) as follows:

P(B|X)=\frac{P(X|B)P(B)}{P(X)}

             =\farc{0.60\times 0.20}{0.84}\\\\=0.14286\\\\\approx 0.143

Thus, the probability of Thomas inviting Madeline to the party over the phone is 0.143.

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Answer: well the answer is 9

Step-by-step explanation:

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2 years ago
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