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Nuetrik [128]
3 years ago
14

Find the first, fourth, and tenth terms of the arithmetic sequence described by the given rule. A(n) = –3 + (n – 1)(–2.2)

Mathematics
1 answer:
Gnesinka [82]3 years ago
7 0
A(n) = a1 + (n - 1) * d
A(n) = -3 + (n - 1) * -2.2
n = term to find
a1 = first term = -3
d = common difference = -2.2

we can already see that the first term is -3 <==

4th term..
A(4) = -3 + (4 - 1) * -2.2
A(4) = -3 + 3(-2.2)
A(4) = -3 - 6.6
A(4) = - 9.6 <== 4th term

10th term...
A(10) = -3 + (10 - 1) * -2.2
A(10) = -3 + 9 * - 2.2
A(10) = -3 - 19.8
A(10) = - 22.8 <===10th term

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Complete question:

He amount of time that a customer spends waiting at an airport check-in counter is a random variable with mean 8.3 minutes and standard deviation 1.4 minutes. Suppose that a random sample of n equals 47 customers is observed. Find the probability that the average time waiting in line for these customers is

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Answer:

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Step-by-step explanation:

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Using the normal distribution table:

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= P(-1.47 <Z< 6.366)

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Using normal distribution table,

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P(X'<7.5) = P [Z< \frac{7.5-8.3}{1.4/ \sqrt{47}}]

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NORMSDIST (-3.92)

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