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kykrilka [37]
3 years ago
7

Luke listens to the three most popular songs on the radio this week. The length of each song is shown. #1 song: ​3 1/2 minutes #

2 song: 2 57/60 minutes #3 song: ​4 3/4 minutes
Mathematics
1 answer:
Oksanka [162]3 years ago
7 0

Answer:

11 1/5 minutes

Step-by-step explanation:

Luke listens to the three most popular songs on the radio this week. The length of each song is shown. #1 song: 3 1/2 minutes #2 song: 2 57 /60 minutes #3 song: 4 3/4 minutes. What is the length of the three songs all together?

song 1: 3 1/2 minutes

song 2: 2 57 /60 minutes

song 3: 4 3/4 minutes

Total length of the three songs = song 1 + song 2 + song 3

= (3 1/2 + 2 57/60 + 4 3/4) minutes

= 7/2 + 177/60 + 19/4

= (210+177+285) / 60

= 672/60

= 56/5

= 11 1/5 minutes

Total length of the three songs = 11 1/5 minutes

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Answer:

Step-by-step explanation:

a right triangle is half of a rectangle and the area of a rectangle is

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in this case

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    area of triangle =  1/2 × (y units) × (x units)       you need to count and insert

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6 0
3 years ago
The times to process orders at the service counter of a pharmacy are exponentially distributed with mean 1 0 minutes. If 100 cus
g100num [7]

Answer:

Therefore,  the probability that at least half of them need to wait more than 10 minutes is <em>0.0031</em>.

Step-by-step explanation:

The formula for the probability of an exponential distribution is:

P(x < b) = 1 - e^(b/3)

Using the complement rule, we can determine the probability of a customer having to wait more than 10 minutes, by:

p = P(x > 10)

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The z-score is the difference in sample size and the population mean, divided by the standard deviation:

z = (p' - p) / √[p(1 - p) / n]

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Therefore, using the probability table, you find that the corresponding probability is:

P(p' ≥ 0.5) = P(z > 2.7393)

<em>P(p' ≥ 0.5) = 0.0031</em>

<em></em>

Therefore,  the probability that at least half of them need to wait more than 10 minutes is <em>0.0031</em>.

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