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Sphinxa [80]
3 years ago
5

Manny can assemble a computer by himself in 50 minutes. Lucy does the same job in 45 minutes. How long will it take to assemble

a computer working together
Mathematics
1 answer:
jonny [76]3 years ago
5 0
Manny can assemble a computer in 50 minutes. That means, in a minute Manny does \frac{1}{50} job.

Lucy can assemble a computer in 45 minutes. That means, in a minute Lucy does \frac{1}{45} job.

If they are working together, in a minute they will do:
\dfrac{1}{50} + \dfrac{1}{45}
= \dfrac{9}{450} + \dfrac{10}{450} \text{(equalize the denominator)}
=\dfrac{19}{450}
In a minute they will do \frac{19}{450} job

To finish the job they will do it in \frac{450}{19} minutes or about 24 minutes.
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Assume that females have pulse rates that are normally distributed with a mean of u = 75.0 beats per minute and a standard devia
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36.88% probability that her pulse rate is between 69 beats per minute and 81 beats per minute.

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 = 75, \sigma = 12.5

Find the probability that her pulse rate is between 69 beats per minute and 81 beats per minute.

This is the pvalue of Z when X = 81 subtracted by the pvalue of Z when X = 69.

X = 81

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

Z = \frac{81 - 75}{12.5}

Z = 0.48

Z = 0.48 has a pvalue of 0.6844

X = 69

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

Z = \frac{69 - 75}{12.5}

Z = -0.48

Z = -0.48 has a pvalue of 0.3156

0.6844 - 0.3156 = 0.3688

36.88% probability that her pulse rate is between 69 beats per minute and 81 beats per minute.

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