Marina is drawing a plan for a new garden. The rectangle plotted in the coordinate plane represents the garden, measured in feet
2 answers:
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The equation of circle in standard form can be represented as :
where,
- h = x - coordinate of centre = 0
- k = y - coordinate of centre = 0
- r = radius of circle = 6 units
now, let's plug in the values :
That's the required equation of circle.
Answer:
36.65 ft (2 dp)
Step-by-step explanation:
- Angles around a point sum to 360°
- 1 hour = 60 minutes
Therefore, the minute hand of a clock travels 360° in 60 minutes
Number of degrees the minute hand will travel in 25 minutes:
To find how far the tip of the minute hand travels in 25 minutes, use the Arc Length formula:
Given:
- r = length of minute hand = 14 ft
= 150°
We have a sample of 28 data points. The sample mean is 30.0 and the sample standard deviation is 2.40. The confidence level required is 98%. Then, we calculate α by:
The confidence interval for the population mean, given the sample mean μ and the sample standard deviation σ, can be calculated as:
Where n is the sample size, and Z is the z-score for 1 - α/2. Using the known values:
Where (from tables):
Finally, the interval at 98% confidence level is: