Consider a circle whose equation is x2 + y2 – 2x – 8 = 0. Which statements are true? Select three options. The radius of the cir
2 answers:
The statements labeled 1 and 4 are accurate. To easily see the center and radius of the circle, we can modify the given equation to fit its standard format. Once in standard form, we can contrast it with the standard equation to find the circle's center and radius. The coordinates for the center are determined to be (1,0) and the radius is represented by 
. With this understanding, we can evaluate each statement. 1. The circle's radius is 3 units—this is true. 2. The circle's center is located on the y-axis—this is incorrect, as the center at (1,0) indicates it is on the x-axis. 3. The standard equation is (x - 1)² + y² = 3—this is false; the correct equation is (x - 1)² + y² = 9. 4. The circle's radius matches that of the circle with the equation x² + y² = 9—this statement is correct, as both radii equal 3.
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Answer:
Indeed, having 15 people recognize the brand would be considered unusual, as it lies beyond 2 standard deviations from the average.
Step-by-step explanation:
Examine the provided data.
The average recognition rate for the Yummy brand name among groups is 12.5, with a standard deviation of 0.58.
Mean = μ= 12.5
σ = 0.58
n = 15
Thus, having 15 people recognize the brand would indeed be unusual, as it is outside of the 2 standard deviations from the mean.