A circle on the coordinate plane has a diameter
1 answer:
9514 1404 393
Answer:
a. (10.5, 8)
b. 9
c. 4.5
d. (10.5, 12.5)
Step-by-step explanation:
a. The center of the circle is the midpoint of the diameter. Its coordinates are the average of the end point coordinates.
C = ((6,8) +(15, 8))/2 = (21, 16)/2 = (10.5, 8) . . . circle center
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b. The diameter lies on the horizontal line y=8, so its length is the difference of the x-coordinates of the end points: 15 -6 = 9 . . . circle diameter
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c. The radius is half the diameter: 9/2 = 4.5 . . . circle radius
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d. Another point on the circle will be 4.5 units from the center on the same vertical line: (10.5, 8) +(0, 4.5) = (10.5, 12.5) . . . another point on the circle
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Answer:
a)
Z = -1.58 means that a reading speed of 340 wpm is 1.58 standard deviations below the mean reading speed.
b)
Z = 0.67 means that a reading speed of 475 wpm is 0.67 standard deviations above the mean reading speed.
c)
Z = -0.25 means that a reading speed of 420 wpm is 0.25 standard deviations below the mean reading speed.
d)
Z = 2.92 means that a reading speed of 610 wpm is 2.92 standard deviations above the mean reading speed.
Step-by-step explanation:
In a set with mean and standard deviation
, the zscore of a measure X is given by:
The z-score measures how many standard deviations a measure X is above or below the mean.
In this problem, we have that:
a. 340 wpm
Z = -1.58 means that a reading speed of 340 wpm is 1.58 standard deviations below the mean reading speed.
b. 475 wpm
Z = 0.67 means that a reading speed of 475 wpm is 0.67 standard deviations above the mean reading speed.
c. 420wpm
Z = -0.25 means that a reading speed of 420 wpm is 0.25 standard deviations below the mean reading speed.
d. 610wpm
Z = 2.92 means that a reading speed of 610 wpm is 2.92 standard deviations above the mean reading speed.