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djyliett [7]
3 years ago
15

A student makes a number of measurements of electrical current in the circuit. The average of the measurements is 12.33 mA. The

standard deviation of the sample is 0.14 mA. How should this measurement be written to the correct number of significant figures with error range to show a 95% confidence
Mathematics
1 answer:
Cloud [144]3 years ago
4 0

Answer:

The way to represent this it is

12.33  -   \frac{0.27}{\sqrt{n} } <  \mu < 12.33  +   \frac{0.27}{\sqrt{n} }

Step-by-step explanation:

From the question we are told that

The sample mean is

The standard deviation is

Given that the confidence level is 95% then the level of significance is mathematically represented as

\alpha =  (100-95)

\alpha =  0.05

The critical value for \frac{\alpha }{2} is obtained from the normal distribution table that value is

Z_{\frac{\alpha }{2} } =  1.96

Now the margin of error is mathematically represented as

E = Z_{\frac{\alpha }{2} } * \frac{s}{\sqrt{n} }

E = \frac{0.27}{\sqrt{n} }

Now the error range to show a 95% confidence is mathematically represented as

\= x  -  E <  \mu < \= x  + E

           12.33  -   \frac{0.27}{\sqrt{n} } <  \mu < 12.33  +   \frac{0.27}{\sqrt{n} }

Here notice that the significant figure is keep to three to match the significant figure of the given values

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Vanyuwa [196]

Answer:0.1446

Step-by-step explanation:

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4 0
3 years ago
I don't know to find the answer to 8. Can someone explain to me?
lapo4ka [179]
Perhaps the easiest way to find the midpoint between two given points is to average their coordinates: add them up and divide by 2.

A) The midpoint C' of AB is
.. (A +B)/2 = ((0, 0) +(m, n))/2 = ((0 +m)/2, (0 +n)/2) = (m/2, n/2) = C'
The midpoint B' is
.. (A +C)/2 = ((0, 0) +(p, 0))/2 = (p/2, 0) = B'
The midpoint A' is
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B) The slope of the line between (x1, y1) and (x2, y2) is given by
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Using the values for A and A', we have
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C) We know the line goes through A = (0, 0), so we can write the point-slope form of the equation for AA' as
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D) To show the point lies on the line, we can substitute its coordinates for x and y and see if we get something that looks true.
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.. n/3 = n*((m+p)/3)/(m+p)
The expression on the right has factors of (m+p) that cancel*, so we end up with
.. n/3 = n/3 . . . . . . . true for any n

_____
* The only constraint is that (m+p) ≠ 0. Since m and p are both in the first quadrant, their sum must be non-zero and this constraint is satisfied.

The purpose of the exercise is to show that all three medians of a triangle intersect in a single point.
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Answer:

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Lapatulllka [165]

9514 1404 393

Answer:

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