A random sample of five Galaxy 8 smartphones is selected from the production line after final assembly, and the result of the we
ight control measurement is (in grams) 155.1, 154.8, 155.5, 155.3, and 154.6.What are the average weight, its uncertainty (i.e. the standard deviation of the mean), and the fractional uncertainty
1 answer:
Answer:
a. Mean = 155.1 grams
b. Standard deviation = 0.37
c. Fractional uncertainty = 0.074
Step-by-step explanation:
a. Average weight
This is same as the mean weight;
Mathematically, that would be; sum of the weights/ the number of weights
= (155.1 + 154.8 + 155.5 + 155.3 + 154.6)/5 = 775.3/5 = 155.06 which is approximately 155.1
b. Standard deviation
Mathematically; we calculate that using the formula;
√{(x-mean)^2/(N-1)}
Please check attachment for for the complete breakdown of this
c. Fractional uncertainty
= Standard deviation/number of measurements = 0.37/5 = 0.074
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Answer:
See explanation
Step-by-step explanation:
You have to graph the system of inequalities presented as
Part A:
1. Draw a dotted line (dotted because the sign < is without notion "or equal to"). Select one of two regions by substituting the coordinates of origin into inequality:
Since this inequlity is false, the origin doesn't belong to the shaded region, so you have to shade that part which doesn't contain origin (red part in attached diagram).
2. Draw a solid line (solid because the sign ≥ is with notion "or equal to"). Select one of two regions by substituting the coordinates of origin into inequality:
Since this inequlity is true, the origin belongs to the shaded region, so you have to shade that part which contains origin (blue part in attached diagram).
The intersection of these two regions is the solution area.
Part B:
Plot point (-2,-2). Since this point doesn't belong to the solution area, this is not a solution of the system of two inequalities. You can check it mathematically - substitute x=-2 and y=-2 into the system:
Both inequalities are false, so (-2,-2) doesn't belong to the solution area.
