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babunello [35]
3 years ago
6

If cos(t) = − 1 2 and tan(t) < 0, find sin(t) and cos(-t)

Mathematics
1 answer:
morpeh [17]3 years ago
3 0

Answer:

cos theta=-1/2

theta=cos-¹(-1/2)=120

tan theta=tan 120=-√3

sin theta=sin120=√3/2

cos(- theta)=cos theta=cos 120=-1/2

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Answer:

The probability that a product is defective is 0.2733.

Step-by-step explanation:

A product consists of 3 parts. If any one of the part is defective the whole product is considered as defective.

The probability of the 3 parts being defective are:

P (Part 1 is defective) = 0.05

P (part 2 is defective) = 0.10 P (part 3 is defective) = 0.15

Compute the probability that a product is defective as follows:

P (Defective product) = 1 - P (non-defective product)

= 1 - P (None of the 3 parts are defective)

= 1 - P (Part 1 not defective) × P (Part 2 not defective) × P (Part 1 not defective)

=1-[(1-0.05)\times(1-0.10)\times (1-0.15)]\\=1-[0.95\times0.90\times0.85]\\=1-0.72675\\=0.27325\\\approx0.2733

Thus, the probability that a product is defective is 0.2733.

3 0
3 years ago
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Pachacha [2.7K]
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