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Dmitry_Shevchenko [17]
2 years ago
7

Solve the inequality x+2 1/2 >-1/2.graph the solution set on a number line. Show your work.

Mathematics
1 answer:
Dmitrij [34]2 years ago
4 0

Answer:

x>-3

Step-by-step explanation:

1: write out the problem - x+2 1/2>-1/2

2: subtract 2 1/2 from both sides - x>-3

3: write your answer - x>-3

4: graph on a number line - to do this draw a number line with hashes, -5 to 5 or so would probably be fine, and draw on open circle on -3, then bold the number line on the right side of the circle.

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Answer:

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Step-by-step explanation:

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9 - 7 = 2

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Hope that helps!

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The mean of a certain set of measurements is 27 with a standard deviation of 14. The distribution of the
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Answer:

Exactly 16%.

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.

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This means that \mu = 27, \sigma = 14

The proportion of measurements that is less  than 13 is

This is the p-value of Z when X = 13, so:

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

Z = \frac{13 - 27}{14}

Z = -1

Z = -1 has a p-value of 0.16, and thus, the probability is: Exactly 16%.

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