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Alona [7]
3 years ago
7

Jared writes a multiplication expression with eight rational factors. Half of the factors are positive and half are negative. Is

the product positive or negative? Why?
● Negative; there are three negative factors
● Negative; there are four negative factors
● Positive; there are three negative factors
● Positive; there are four negative factors ​
Mathematics
1 answer:
soldi70 [24.7K]3 years ago
3 0

Answer:

negative they are 4 negative factors

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Suppose the life of a particular brand of laptop battery is normally distributed with a mean of 8 hours and a standard deviation
Ierofanga [76]

Answer:

4.75% probability that the battery will last more than 9 hours before running out of power

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 = 8, \sigma = 0.6

What is the probability that the battery will last more than 9 hours before running out of power g

This is 1 subtracted by the pvalue of Z when X = 9. So

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

Z = \frac{9 - 8}{0.6}

Z = 1.67

Z = 1.67 has a pvalue of 0.9525

1 - 0.9525 = 0.0475

4.75% probability that the battery will last more than 9 hours before running out of power

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Step-by-step explanation:

By the same-side interior angles theorem,

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Rufus works an average of 46 hours each week. He gets paid $5.70 per
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