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Tema [17]
3 years ago
9

The function f(n) represents an arithmetic sequence where the first term is 5 and each term increases by 5.What is f(8)?

Mathematics
2 answers:
tekilochka [14]3 years ago
8 0

Answer:

40

Step-by-step explanation:

f(n) = 5 + (n - 1)(5)

f(n) = 5 + 5n - 5

f(n) = 5n

n = 8

5(8) = 40

denis-greek [22]3 years ago
8 0
The answer would be 40.
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Answer:

A. 0.088

B. 0.048

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Step-by-step explanation:

From the question given above, the following data were obtained:

Green (G) = 4

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Total = 4 + 5 = 9

A. Determination of the probability of selecting three green marbles with replacement.

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Yellow (Y) = 5

Total = 9

P(1st G) = 4/9

P(2nd G) = 4/9

P(3rd G) = 4/9

P(all G) = P(1st G) × P(2nd G) × P(3rd G)

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B. Determination of the probability of selecting three green marbles without replacement.

Green (G) = 4

Yellow (Y) = 5

Total = 9

P(1st G) = 4/9

P(2nd G) = 3/8

P(3rd G) = 2/7

P(all G) = P(1st G) × P(2nd G) × P(3rd G)

P(all G) = 4/9 × 3/8 × 2/7

P(all G) = 24/504

P(all G) = 0.048

C. Comparing probability of replacement and without replacement.

P(all G with replacement) = A = 0.088

P(all G without replacement) = B = 0.048

A/B = 0.088/0.048

A/B = 1.83

Cross multiply

A = 1.83 × B

Thus,

P(all G with replacement) = 1.83 × P(all G without replacement)

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