The slope of line p is ___ and the slope of line q is ___
1 answer:
Answer:
Slope of line p = 3
Slope of line q = -3
Step-by-step explanation:
An easy way to find slope is to pick one point and move up the line to find the next point with exact coordinates.
For line p, we can use point (1,-1). Moving farther up the line, the next point that lands exactly on a coordinate, is (2,2) The slope of a line is the rise of a line over its run. Or, . From the first point, we move up exactly 3 units, and over 1 unit to reach the next point. We rise 3 units and run 1 unit. In fraction form,
. This simplifies to 3. The slope of line p is 3.
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For line q, we can use the same method. Notice first that the line slopes down, which means the slope will be negative.
Now, we can pick a point on the line. Let's use the same one we used for line p, point (1,-1). The next point up the line is point (0,2). From point (1,-1), we rise 3 units, and run -1 unit. The run, we can tell, is negative, because it goes to the left. The slope is . Simplify this to -3. The slope of line q is -3.
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I hope this helps ^^ Good luck :)
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Answer:
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Step-by-step explanation:
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When multiplying decimals by 10, move the decimal point one space to the right
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Answer:
- -2.2
- 1.4%
- -0.6
- 27.4%
- 26%
The z-value is computed from ...
... z = (x -µ)/σ
... z = (184 -206)/10 = -2.2 . . . . for $184
... z = (200 -206)/10 = -0.6 . . . . for $200
You can look up these values in a normal distribution table, or you can use an appropriate calculator to find the corresponding percentiles.
... -2.2 corresponds to the 1.390 percentile. (That amount of area is below -2.2 standard deviations from the mean.)
... -0.6 corresponds to the 27.425 percentile.
Subtracting the two percentages gives the percentage of expenses between $184 and $200. That number is 26.035% ≈ 26%.
_____
<em>Comment on the calculator display</em>
The difference that got cut off from the display in the attachment is ...
... 0.2603496703
The <em>normalcdf( )</em> function requires a lower limit. Using -8 standard deviations is effectively equivalent to -∞ for this purpose, as any lower number has no effect on the least-significant digits of the result.
