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Mumz [18]
3 years ago
12

If the sequence 1, 6, 7, 13, 20, ... were to follow the same pattern as the Fibonacci sequence, what are the next three terms?

Mathematics
1 answer:
Alex787 [66]3 years ago
3 0

The Fibonacci sequence is generated by starting with the numbers 0 and 1 (or 1 and 1) and obtaining the next number by adding them together. All successive numbers are the sum of the previous two.

0 + 1 = 1

1 + 1 = 2

1 + 2 = 3

2 + 3 = 5

and so on.

For this sequence, we have

1 + 6 = 7

6 + 7 = 13

7 + 13 = 20

13 + 20 = 33

20 + 33 = 53

33 + 53 = 86

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A humanities professor assigns letter grades on a test according to the following scheme. A: Top 12% of scores B: Scores below t
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Answer:

The minimum score required for an A grade is 88.

Step-by-step explanation:

Problems of normally distributed samples are solved using the z-score formula.

In a set with mean \mu and standard deviation \sigma, the zscore of a measure X is given by:

Z = \frac{X - \mu}{\sigma}

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

In this problem, we have that:

\mu = 77.8, \sigma = 8.5

Find the minimum score required for an A grade.

Top 12%, which is at least the 100-12 = 88th percentile, which is the value of X when Z has a pvalue of 0.88. So it is X when Z = 1.175.

Z = \frac{X - \mu}{\sigma}

1.175 = \frac{X - 77.8}{8.5}

X - 77.8 = 1.175*8.5

X = 87.8

Rounding to the nearest whole number

The minimum score required for an A grade is 88.

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Answer:

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We are given the following in the question:

Population mean, μ = 473 mL

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Sample size, n = 30

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First, we design the null and the alternate hypothesis

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Representation of \mu

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Thus, for the given situation \mu represents:

Option C) The average contents of all bottles of juice in the population, which is 473 mL

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