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xz_007 [3.2K]
3 years ago
8

The number of hours required to do a job varies inversely as the number of people working. It takes 8 hours for 4 people to pain

t the inside of a house. How long would it take 5 peole to do the job?
Mathematics
1 answer:
dezoksy [38]3 years ago
7 0

Answer: it will take 5 people 6.4 hours to do the work.

Step-by-step explanation:

The number of hours required to do a job varies inversely as the number of people working. Let h represent the number of hours required to do the job. Let p represent the number of people working. Therefore,

h is inversely proportional to p

Introducing a constant of variation, k, it means that

h = k/p

It takes 8 hours for 4 people to paint the inside of a house. Therefore

8 = k/4

k = 8×4 = 32

The formula becomes

h = 32/p

To determine how many hours it will take 5 people to do the work, we will substitute p = 5 into the formula. It becomes

h = 32/5 = 6.4 hours

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What is equivalent to 4 2/3
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1 year ago
A particular battery claims to have a mean life of 400 hours with a standard deviation of 30 hours. Approximately what percent o
Svetach [21]

Using the normal distribution, it is found that 25.14% of the batteries will last more than 420 hours.

<h3>Normal Probability Distribution</h3>

The z-score of a measure X of a normally distributed variable with mean \mu and standard deviation \sigma is given by:

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

  • The z-score measures how many standard deviations the measure is above or below the mean.
  • Looking at the z-score table, the p-value associated with this z-score is found, which is the percentile of X.

In this problem, we have that the mean and the standard deviation are given, respectively, by:

\mu = 400, \sigma = 30.

The proportion of the batteries will last more than 420 hours is <u>one subtracted by the p-value of Z when X = 420</u>, hence:

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

Z = \frac{420 - 400}{30}

Z = 0.67

Z = 0.67 has a p-value of 0.7486.

1 - 0.7486 = 0.2514.

0.2514 = 25.14% of the batteries will last more than 420 hours.

More can be learned about the normal distribution at brainly.com/question/24663213

#SPJ1

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2 years ago
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