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Eduardwww [97]
4 years ago
12

Consider the sequence...

Mathematics
1 answer:
KatRina [158]4 years ago
8 0

Answer:

  x^2 +4

Step-by-step explanation:

It is perhaps easiest to simply try the answers to see what works. x=1 corresponds to the first term, so the different answer choices will give that value as ...

  3x² +4 = 3 +4 = 7

  x² +4x = 1 + 4 = 5 . . . . possible solution

  x² +4 = 1 +4 = 5 . . . . possible solution

  x² +5 = 1 +5 = 6

Then for x=2, we want the result to be 8. The two choices we've identified so far give ...

  x² +4x = 2² +4·2 = 12

  x² +4 = 2² +4 = 8 . . . . . this is the solution

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A soft drink machine outputs a mean of 2323 ounces per cup. The machine's output is normally distributed with a standard deviati
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Answer:

Area under the normal curve: 0.6915.

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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 = 23, \sigma = 2

You have been asked to calculate the probability of putting less than 24 ounces in a cup.

pvalue of Z when X = 24. So

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

Z = \frac{24 - 23}{2}

Z = 0.5

Z = 0.5 has a pvalue of 0.6915

Area under the normal curve: 0.6915.

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Answer:

12. w - 13 = 15 w = 28

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