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HACTEHA [7]
3 years ago
13

While performing a piece of music, Tommy strikes the cymbals every 7 beats and the triangle is every 12 beats. If he just struck

both at the same time, how many beats will pass before he again strikes them at the same time?
Mathematics
1 answer:
Semmy [17]3 years ago
5 0

Answer:

84

Step-by-step explanation:

In interval questions we use LCM

LCM of 7, 12=84

Therefore, the number of beats will pass before he again strikes them at the same time is 84

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g In R simulate a sample of size 20 from a normal distribution with mean µ = 50 and standard deviation σ = 6. Hint: Use rnorm(20
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Answer:

> a<-rnorm(20,50,6)

> a

[1] 51.72213 53.09989 59.89221 32.44023 47.59386 33.59892 47.26718 55.61510 47.95505 48.19296 54.46905

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> mean(a)

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> sqrt(var(a))

[1] 7.470221

Step-by-step explanation:

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And we can use the following code: rnorm(20,50,6) and we got this output:

> a<-rnorm(20,50,6)

> a

[1] 51.72213 53.09989 59.89221 32.44023 47.59386 33.59892 47.26718 55.61510 47.95505 48.19296 54.46905

[12] 45.78072 57.30045 57.91624 50.83297 52.61790 62.07713 53.75661 49.34651 53.01501

Then we can find the mean and the standard deviation with the following formulas:

> mean(a)

[1] 50.72451

> sqrt(var(a))

[1] 7.470221

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3 years ago
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