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MAVERICK [17]
2 years ago
7

If there are 3.28 feet in 1 meter, how many yards are in 8 meters? Round answer to the nearest tenth. (Hint: This problem requir

es two conversions.)
10.2 yards

6.08 yards

8.7 yards

9.84 yards
Mathematics
1 answer:
yarga [219]2 years ago
5 0
The answer is 8.7 yards
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Step-by-step explanation:

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A bowling leagues mean score is 197 with a standard deviation of 12. The scores are normally distributed. What is the probabilit
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Answer:

0.281 = 28.1% probability a given player averaged less than 190.

Step-by-step explanation:

Normal Probability Distribution:

Problems of normal distributions can be solved using the z-score formula.

In a set with mean \mu and standard deviation \sigma, the z-score 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 p-value, we get the probability that the value of the measure is greater than X.

A bowling leagues mean score is 197 with a standard deviation of 12.

This means that \mu = 197, \sigma = 12

What is the probability a given player averaged less than 190?

This is the p-value of Z when X = 190.

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

Z = \frac{190 - 197}{12}

Z = -0.58

Z = -0.58 has a p-value of 0.281.

0.281 = 28.1% probability a given player averaged less than 190.

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Through 12 years  he would have painted 72 paintings and since he hasn't sold two of them he has only sold 70.

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