The complete formula for circumference is:

Since we know the circumference of the circle is 314 inches, we can then solve for d, the diameter:

Using 3.14 for pi, we get:

Then solve for d:

And now we know the diameter of the circle is 100 inches.
Answer:
<u><em>y = -190 cos(π t / 120) + 195</em></u>
Step-by-step explanation:
<em>General form of a sinusoidal function: y = A cos(Bt - C) + D
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<em>Now generally a cosine function starts at the maximum value, so to start at the minimum value, flip the cosine function by making it negative.
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<em>A is the amplitude of the curve and will be the radius of the ferris wheel. Therefore, A = 380 / 2 = 190 feet.
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2π / B is the period of the curve and will be the time to complete one full rotation. The time to complete one full rotation is given as 4 minutes. Convert this into seconds to get period = 4 minutes * (60 seconds / minute) = 240 seconds. Therefore, B = 2π / period = 2π / 240 seconds = π / 120.
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C/B is the phase shift, or horizontal shift of the graph. Since the negative cosine function already starts at the minimum value, there is no phase shift so C/B = 0, meaning C = 0.
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D is the vertical shift and will be the height of the center of the ferris wheel. Therefore, D = 195 feet.
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Your final function will be:</em>
<u><em>y = -190 cos(π t / 120) + 195</em></u>
Answer:
.
Step-by-step explanation:
It is given that a number, x, rounded to 2 significant figures is 1300.
It is possible if,
1. The value of x is greater than of equal to 1250 and less than or equal to 1300.
i.e.,
...(1)
2. The value of x is greater than of equal to 1300 and less than 1350.
i.e.,
...(2)
On combining (1) and (2), we get

1350 is not included in the error interval for x.
Interval notation is
.
Therefore, the error interval for x is
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.76 cents per cup.
Their are 16 cups in a gallon.
2 gallons would be 32cups.
Divide 24.32 by 32.
0.76 is your answer
Divide the amount of teenagers that smoked by the total population:

Multiply this decimal by 100 to convert into a percentage:

To round to the nearest decimal place, look at the hundredths value:
8.5
3
3 > 5
8.53 -> 8.5
8.5% of teenagers reported that they smoked at least one cigarette.