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muminat
4 years ago
10

A group of students weighs 500 us pennies. they find that the pennies have normally distributed weights with a mean of 3.1g and

a standard deviation 0.14g.
a) what percentage of pennies will weigh between 2.8 and 3.3g
b) what percentage of pennies will weigh between 2.11 and 3.5g
c) what percentage of pennies will weigh less than 2.96g
d) what percentage will weigh more than 3.4g
Mathematics
1 answer:
11111nata11111 [884]4 years ago
6 0
The answer to the question is C

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Refer to the attached image. Since one vertex is the origin and the other two lay on the coordinate axes, the triangle is a right triangle. This means that, if we consider AB to the be base, AC is his height, and vice versa.

Anyway, it means that the area is given by

A = \cfrac{\overline{AB}\times\overline{AC}}{2}

Since AB is a horizontal segment and AC is a vertical segment, their length is given by the absolute difference of the non-constant coordinate: points A and B share the same x coordinate, so we subtract the y coordinates:

\overline{AB} = |2-0| = |2| = 2

The opposite goes for AC: points A and C share the same y coordinate, so we subtract the x coordinates:

\overline{AC} = |4-0| = |4| = 4

So, the area is

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3 years ago
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Line does not represent direct variation.

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Start by finding the slope of this line:

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