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Stells [14]
3 years ago
12

Consider the inequality -5(x + 7) < -10. Write an inequality representing the solution for x.

Mathematics
1 answer:
Sergio039 [100]3 years ago
6 0

Answer:

x > -5

Step-by-step explanation:

-5(x+7)<-10

Divide each side by -5.  Remember to flip the inequality

-5/-5(x+7)>-10/-5

x+7 > 2

Subtract 7 from each side

x+7-7>2-7

x > -5

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3 years ago
Suppose that birth weights are normally distributed with a mean of 3466 grams and a standard deviation of 546 grams. Babies weig
Anon25 [30]

Answer:

3.84% probability that it has a low birth weight

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 = 3466, \sigma = 546

If we randomly select a baby, what is the probability that it has a low birth weight?

This is the pvalue of Z when X = 2500. So

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

Z = \frac{2500 - 3466}{546}

Z = -1.77

Z = -1.77 has a pvalue of 0.0384

3.84% probability that it has a low birth weight

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3 years ago
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