Find the slope from the points below. Just type the correct numerical answer. (2, -2) (7, 8)
1 answer:
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Answer:
The correct option is;
Mike's measurement are more precise and more accurate
Step-by-step explanation:
The given information are;
The mass of the measured bottle = 16-ounce
The record of the measurements made by Mike are;
16.4 oz
15.2 oz
15.8 oz
The record of the measurements made by Teegan are;
16.34 oz
16.59 oz
15.13 oz
From the two measurements, we have;
The precision of a measurement depends on how close the values of the measurement are to one another, therefore, we have;
For Mike, the precision is given as follows
16.4 - 15.2 = 1.2
16.4 - 15.8 = 0.6
15.8 - 15.2 = 0.6
Total difference = 1.2 + 0.6 + 0.6 = 2.4
For Teegan , the precision is given as follows
16.59 - 16.34 = 0.25
16.59 - 15.13 = 1.46
16.34 - 15.13 = 1.21
Total difference = 0.25 + 1.46 + 1.21 = 2.92
Therefore, Mike's measurements are more precise than Teegan's measurements
The accuracy of the measurement is the amount of closeness the measurements are to a given value
In the question, the given value is 16-ounces of the volume of the bottle
Therefore, by the mean absolute deviation from the 16-ounce of the bottle, we have;
For Mike;
For Teegan, we have;
Therefore, Mike's measurement is more accurate than Teegan's measurement.
Which gives;
Mike's measurement are more precise and more accurate.
To solve a system of inequalities we graph both of them.
The inequality representing their combined pay would be
. This is because Jane makes 12.50/hr, Jack makes 10.00/hr, and they want to make at least, so greater than or equal to, $750 combined.
The inequality representing their combined hours working would be
, since they do not want their combined hours to be over 65. In both of these inequalities, <em>x</em> represents the number of hours Jane works and <em>y</em> represent the number of hours Jack works.
To graph these, we solve both of them for <em>y</em>:
The attached screenshot shows what the graph looks like. Going to the point where they intersect, we see that the shaded region that satisfies both inequalities begins when Jane works 40 hours and Jack works 25.
The inequality representing their combined pay would be
The inequality representing their combined hours working would be
To graph these, we solve both of them for <em>y</em>:
The attached screenshot shows what the graph looks like. Going to the point where they intersect, we see that the shaded region that satisfies both inequalities begins when Jane works 40 hours and Jack works 25.