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Brilliant_brown [7]
3 years ago
15

An ice cream truck that plays loud music is circling Bulans neighborhood. C(t) models the volume of the music in dB that Bulan h

ears, t minutes after the truck arrives in her neighborhood. Here T is entered in radians C(t)=-15cos(2pi/15t)+65 how many minutes after te truck arrives does the volume reach 75

Mathematics
1 answer:
ELEN [110]3 years ago
8 0

Answer:

  5.5 minutes

Step-by-step explanation:

Fill in the given information and solve for t.

  75 = -15cos(2πt/15) +65

  -10/15 = cos(2πt/15)

  t = 15/(2π)arccos(-2/3) ≈ 5.492

The volume reaches 75 dB about 5.5 minutes after the truck arrives.

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Answer:

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Step-by-step explanation:

Given the data:

234 160 119 131 218 207 146 141

Arranging in ascending order :

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The range = maximum - minimum

The range = 234 - 119 = 115

The variance :

Σ(x - mean)²/n-1

The mean = Σx / n

The mean = 1356 / 8 = 169.5

Variance :

Σ(x - mean)² = (119-169.5)² + (131-169.5)² + (141-169.5)² + (146-169.5)² + (160-169.5)² + (207-169.5)² + (218-169.5)² + (234-169.5)² = 13407

n - 1 = 8 - 1 = 7

Variance = 13407 / 7 = 1915.2857

Standard deviation = √variance

Standard deviation = √1915.2857

Standard deviation = $43.764

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