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Serggg [28]
3 years ago
5

If cos B = 3/5 , then what is the positive value of cos 1/2 B , in simplest radical form with a rational denominator?

Mathematics
1 answer:
ahrayia [7]3 years ago
5 0

Answer:

cos(B/2) = 2√5 / 5

Step-by-step explanation:

Use half angle formula:

cos²(B/2) = (1 + cos B) / 2

cos²(B/2) = (1 + 3/5) / 2

cos²(B/2) = (8/5) / 2

cos²(B/2) = 4/5

cos(B/2) = 2/√5

cos(B/2) = 2√5 / 5

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A product is made up of three parts that act independently of each other. If any of the parts is defective, the product is defec
natali 33 [55]

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)

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= 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.

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