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Aleks04 [339]
3 years ago
6

Match the term with the definition. (5 points)

Mathematics
1 answer:
mezya [45]3 years ago
6 0

triangle:

a plane figure with three straight sides and three angles.

rectangle:

a plane figure with four straight sides and four right angles, especially one with unequal adjacent sides, in contrast to a square.

circle:

round plane figure whose boundary (the circumference) consists of points equidistant from a fixed point (the centre).

cylinder:

solid geometrical figure with straight parallel sides and a circular or oval cross section.

cone:

surface or solid figure generated by the straight lines which pass from a circle or other closed curve to a single point (the vertex) not in the same plane as the curve.

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Question 1:

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To assess the accuracy of a laboratory scale, a standard weight that is known to weigh 1 gram is repeatedly weighed 4 times. The
zhannawk [14.2K]

Answer:

(0.9464,1.034)

Step-by-step explanation:

First find the mean μ  of all values as;

(0.95+1.02+ 1.01+ 0.98 ) /4 =0.99

μ=0.99

Find the standard deviation as;

-For each value subtract the mean and square the results

0.95-0.99 = -0.04 , -0.04² = 0.0016

1.02-0.99= 0.03, 0.03²=0.0009

1.01-0.99= 0.02, 0.02²= 0.0004

0.98-0.99 = -0.01, -0.01²=0.0001

Find mean of squared deviations as;

(0.0016+0.0009+0.0004+0.0001)/4 =0.00075 ----variance

Standard deviation = √0.00075 = 0.0274

δ = 0.0274

n=4

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Degree of freedom (df) = n-1 =4-1 =3

The t value for 95% confidence with df= 3 is t=3.182

Substituting the values in equation (i)

0.99 ± 3.182 * 0.0274/√4

0.99 ± 3.182 * 0.0274/2

0.99 ± 3.182 * 0.0137

0.99 ± 0.0436

(0.9464,1.034)

8 0
3 years ago
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