Answer:
(x, y) = (4, 3)
Step-by-step explanation:
The first equation gives an expression for y that can be substituted into the second equation:
3(2x -5) -x = 5
5x -15 = 5 . . . . . . simplify
5x = 20 . . . . . . . .add 15
x = 4 . . . . . . . . . . divide by 5
y = 2(4) -5 = 3 . . substitute for x in the first equation
(x, y) = (4, 3)
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Solution by graphing confirms this result.
Answer:
The lines would be parallel
Step-by-step explanation:
They have the same slope, but they sit on different y values. Therefore, they are parallel.
Answer:
Step-by-step explanation:
The percent of runners between these two times is 47.72.
We find the z-scores associated with each end of this interval using the formula
z=(X-μ)/σ
For the lower end,
z=(4.11-4.41)/0.15 = -0.3/0.15 = -2
Using a z-table (http://www.z-table.com) we see that the area to the left of, less than, this score is 0.0228.
For the upper end:
z=(4.41-4.41)/0.15 = 0/0.15 = 0
Using a z-table we see that the area to the left of, less than, this score is 0.5000.
We want the area between these times, so we subtract:
0.5000-0.0228 = 0.4772
This corresponds with 47.72%.
