Points A, B, C, and D are located on a line. A is at (-6,13), D is at (2,14), C is the midpoint of AD and B is the midpoint of A
C. What is the sum of the coordinates of point B? Express the answer as a common fraction.
1 answer:
Answer:
37/4
Step-by-step explanation:
The sum of the coordinates of point B is the weighted average of the sum of coordinates of points A and D. Those sums are A=-6+13 = 7; D=2+14=16.
Point B is 3/4 of the way from point D to point A, so the sum of its coordinates will be ...
(3×7 +1×16)/4 = 37/4
_____
The coordinates of point B are (-4, 13.25), so their sum is 9.25 = 37/4.
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Answer:
(a) 93.19%
(b) 267.3
Step-by-step explanation:
The population mean and standard deviation are given as 502 and 116 respectively.
Consider, <em>X</em> be the random variable that shows the SAT critical reading score is normally distributed.
(a) The percent of the SAT verbal scores are less than 675 can be calculated as:
Thus, the required percentage is 93.19%
(b)
The number of SAT verbal scores that are expected to be greater than 575 can be calculated as:
So,
Out of 1000 randomly selected SAT verbal scores, 1000(0.2673) = 267.3 are expected to have greater than 575.