9514 1404 393
Answer:
see attached for the drawing
slope = -1/2
Step-by-step explanation:
For the rise of -1 and the run of 2, the slope is ...
m = rise/run = -1/2 . . . . slope in simplest form
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<em>Additional comments</em>
It usually works best if you can identify points on the graph where the line crosses grid intersections. Then the number of squares in each direction can be counted easily. If you work with two grid intersections that are closest together, then the ratio of rise to run will already be in reduced form.
On this graph, there are other grid crossing points that are 4, 6, 8 units to the right or left of the one where we started. You need to remember that "run" is positive in the "right" direction, and "rise" is positive in the "up" direction.
We have shown the "rise" and "run" lines above the graphed line. They can also be shown below the graphed line.
Here, the grid squares are 1 unit in each direction. You need to pay attention to the scale, because some graphs have different numbering vertically than horizontally. The values for "rise" and "run" need to be figured using the appropriate scale.
we are given
A woman walks due east on the deck of a ship at 4 mi/h.
the ship is moving south at a speed of 24 mi/h
so, firstly, we will draw diagram
so, we have
now, we can use Pythagoras theorem
now, we can plug values
and we get
so,
the speed of the woman relative to the surface of the water is 24.33 mi/h .......Answer
Answer:
The margin of error for constructing a 95% confidence interval on the population mean income before taxes of all consumer units in the U.S is 1406.32.
Step-by-step explanation:
We are given that according to a survey of 500, the mean income before taxes of consumer units (i.e., households) in the U.S. was $60,533 with a standard error of 717.51.
Margin of error tells us that how much our sample mean value deviates from the true population value.
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<u>Margin of error is calculated using the following formula;</u>
Margin of error =
where, = level of significance = 1 - confidence level
= 1 - 0.95 = 0.05 or 5%
Standard of Error = = 717.51
Now, the value of z at 2.5% level of significance () is given in the z table as 1.96, that means;
Margin of error =
= = 1406.32
Hence, the margin of error for constructing a 95% confidence interval on the population mean income before taxes of all consumer units in the U.S is 1406.32.