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vaieri [72.5K]
4 years ago
10

Tensile strength tests were performed on two different grades of aluminum spars used in manufacturing the wing of a commercial t

ransport aircraft. From past experience with the spar manufacturing process and the testing procedure, the standard deviations of tensile strengths are assumed to be known. The data obtained are as follows:
n_1 = 10
x_1 = 87.6
σ_1 = 1
n_2 = 12
x^2 = 74.5
σ_2 = 1.5.

Required:
If μ _1 and μ _2 denote the true mean tensile strengths for the two grades of spars. Construct a 90 percentage confidence interval on the difference in mean strength.
Mathematics
1 answer:
SCORPION-xisa [38]4 years ago
5 0

Answer:

(12.141, 14.059)

Step-by-step explanation:

Explanation is provided in the attached document.

Download docx
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See attached for the cyclic quadrilateral

To prove: <BAD + <BCD =180°

Construction: Join B and D to the centre O of circle ABCD

Proof  

With the lettering of the attached drawing,

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            Reflex <BOD   = 2x     (angle at centre is 2 X angle at circumference)

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Step-by-step explanation:

The vertices of a cyclic quadrilateral lie on the circumference of the circle and the opposite angles of a cyclic quadrilateral lie in opposite segment of a circle.

The question is to prove that the opposite angles of a cyclic quadrilateral are supplementary that is 180°. Another way of stating this theory is 'Angles in opposite segments are supplementary'.

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