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EastWind [94]
3 years ago
11

Outside temperatures over the course of a day can be modeled as a sinusoidal function. Suppose the high temperature of105°Foccur

s at 5PM and the average temperature for the day is85°F.Find the temperature, to the nearest degree, at 9AM.
Mathematics
1 answer:
mafiozo [28]3 years ago
3 0

Answer:

The temperature at 9AM = 75°F

Step-by-step explanation:

Consider D(t) be the temperature in Fahrenheit at time t, where t is measured in hours since midnight. It knows when the maximum temperature occurs. Then it can create a model using a cosine curve.

Vertical shift, D = 85°F

Amplitude, A = (105-85)°F = 20°F

Horizontal stretch factor, B = 2π/24 = π/12

Horizontal shift = -(12+5) = -17

Using the information, we have this model

D(t) = 20cos [π/12(t-17)] + 85

D(9) = 20cos [π/12(9-17)] + 85

       = 20cos [-2π/3] + 85

       = -20 x 1/2 + 85

       = 75°

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Answer:

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Step-by-step explanation:

From the above question, we have the following information

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We solve this question using combination formula

C(n, r) = nCr = n!/r!(n - r)!

We are told that 3 balls are drawn out at random.

The chance/probability of drawing out 3 balls = 12C3 = 12!/3! × (12 - 3)! = 12!/3! × 9!

= 12 × 11 × 10 × 9 × 8 × 7 × 6 × 5 × 4 × 3 × 2 × 1/(3 × 2 × 1) × (9 × 8 × 7 × 6 × 5 × 4 × 3 × 2 × 1)

= 220 ways

The chance of selecting 3 balls at random = 220

To find the chance that all the three balls are selected,

= [Chance of selecting (white ball) × Chance of selecting(blue ball) × Chance of selecting(red balls)]/ The chance/probability of drawing out 3 balls

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Mode: 27

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