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lions [1.4K]
3 years ago
11

If a and B are angles which tan a= 3/4 and cos B= 8/17. Determine the exact value of cos(a-B)

Mathematics
1 answer:
Alex Ar [27]3 years ago
5 0

Answer:Life table of males at age 30. Probability of dying between ages x and x+1

total population:  

29–30 . . . . . . . . . . . . . . . . . . . . . . . . 0.001030

30–31 . . . . . . . . . . . . . . . . . . . . . . . . 0.001061

males:  

29–30 . . . . . . . . . . . . . . . . . . . . . . . . 0.001420

30–31 . . . . . . . . . . . . . . . . . . . . . . . . 0.001448

white population

29–30 . . . . . . . . . . . . . . . . . . . . . . . . 0.001005

30–31 . . . . . . . . . . . . . . . . . . . . . . . . 0.001037

white males

29–30 . . . . . . . . . . . . . . . . . . . . . . . . 0.001372

30–31 . . . . . . . . . . . . . . . . . . . . . . . . 0.001399

non Hispanic white population

29–30 . . . . . . . . . . . . . . . . . . . . . . . . 0.001083

30–31 . . . . . . . . . . . . . . . . . . . . . . . . 0.001116

non Hispanic white males

29–30 . . . . . . . . . . . . . . . . . . . . . . . . 0.001477

30–31 . . . . . . . . . . . . . . . . . . . . . . . . 0.001503

Jacob, non Hispanic white male. 30 years old.

Probability that Jacob lives to be 30 years old.  

Since the given probabilities are probabilities of dying, I think we simply subtract it from 1 to get the probability of living. We will use the probability of non Hispanic white male.

                                   

                                         Probability of living to be 30 y.o.

29 - 30 : 1 - 0.001477 = 0.998523

30 - 31 : 1 - 0.001503 = 0.998497

Step-by-step explanation:

Life table of males at age 30. Probability of dying between ages x and x+1

total population:  

29–30 . . . . . . . . . . . . . . . . . . . . . . . . 0.001030

30–31 . . . . . . . . . . . . . . . . . . . . . . . . 0.001061

males:  

29–30 . . . . . . . . . . . . . . . . . . . . . . . . 0.001420

30–31 . . . . . . . . . . . . . . . . . . . . . . . . 0.001448

white population

29–30 . . . . . . . . . . . . . . . . . . . . . . . . 0.001005

30–31 . . . . . . . . . . . . . . . . . . . . . . . . 0.001037

white males

29–30 . . . . . . . . . . . . . . . . . . . . . . . . 0.001372

30–31 . . . . . . . . . . . . . . . . . . . . . . . . 0.001399

non Hispanic white population

29–30 . . . . . . . . . . . . . . . . . . . . . . . . 0.001083

30–31 . . . . . . . . . . . . . . . . . . . . . . . . 0.001116

non Hispanic white males

29–30 . . . . . . . . . . . . . . . . . . . . . . . . 0.001477

30–31 . . . . . . . . . . . . . . . . . . . . . . . . 0.001503

Jacob, non Hispanic white male. 30 years old.

Probability that Jacob lives to be 30 years old.  

Since the given probabilities are probabilities of dying, I think we simply subtract it from 1 to get the probability of living. We will use the probability of non Hispanic white male.

                                   

                                         Probability of living to be 30 y.o.

29 - 30 : 1 - 0.001477 = 0.998523

30 - 31 : 1 - 0.001503 = 0.998497

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