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KATRIN_1 [288]
2 years ago
6

12. Given triangle ABC with sides a, b, and c

Mathematics
1 answer:
natulia [17]2 years ago
4 0

Answer:

Side c

Step-by-step explanation:

Generally triangles can be classified with respect to their sides, or their angles. And there is a relationship between the length of the sides and the measure of the opposite angles of a given triangle. The relationship is that; the longest length of side is the one that is always opposite to the greatest angle.

In the given question, the longest side given that m<A = 49°, m<B = 24°, and m<C = 107° of the internal angles of the triangle is side c. Since side c is opposite the greatest angle, <C.

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Two types of defects are observed in the production of integrated circuit boards. It is estimated that 6% of the boards have sol
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Answer:

(a) 0.09

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Step-by-step explanation:

Let <em>A</em> = boards have solder defects and <em>B</em> = boards have surface defects.

The proportion of boards having solder defects is, P (A) = 0.06.

The proportion of boards having surface-finish defects is, P (B) = 0.03.

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P(A\cap B)=P(A)\times P(B)

(a)

Compute the probability that either a solder defect or a surface-finish defect or both are found as follows:

= P (A or B) + P (A and B)

=P(A)+P(B)-P(A\cap B)+P(A\cap B)\\=P(A)+P(B)\\=0.06+0.03\\=0.09

Thus, the probability that either a solder defect or a surface-finish defect or both are found is 0.09.

(b)

The probability that a solder defect is found is 0.06.

(c)

The probability that both defect are found is:

P(A\cap B)=P(A)\times P(B)\\=0.06\times0.03\\=0.0018

Thus, the probability that both defect are found is 0.0018.

(d)

The probability that none of the defect is found is:

P(A^{c}\cup B^{c})=1-P(A\cup B)\\=1-P(A)-P(B)+P(A\cap B)\\=1-P(A)-P(B)+[P(A)\times P(B)]\\=1-0.06-0.03+(0.06\times0.03)\\=0.9118

Thus, the probability that none of the defect is found is 0.9118.

(e)

The probability that the defect found is a surface finish is 0.03.

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Ann [662]
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The investment will be worth $1,200 in 10 years
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