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Aleks04 [339]
3 years ago
9

A carpenter can do a job in two hours. His assistant can do the same job in three hours. How long would it take them to do the j

ob together?
Mathematics
2 answers:
OlgaM077 [116]3 years ago
5 0

The carpenter makes 1/4 of the job per hour.

The assistant makes 1/6 of the job per hour.

When they work together, they make 1/4 + 1/6 = 6/24 + 4/24 = 10/24 = 5/12 of the job each hour.

Thus, it will take 12/5 = 2 2/5 hours = 2 hours and 24 minuets for them to finish the job working together.

Anuta_ua [19.1K]3 years ago
3 0

Answer:the answer is 2.4 hours

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Answer:

<u>Question 1</u>

The function f(x) = x + 6 is one-to-one, so it does have an inverse.

The inverse of +6 is -6, so f^{-1}(x)=x-6

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<u>Question 2</u>

The function f(x) = -3x -9 is one-to-one, so it does have an inverse.

To find the inverse, replace f(x) with y:

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If the first chapter of a certain book is 16 pages long and makes up 4% of the book, how many pages does the entire book have?
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A machine that produces a major part for an airplane engine is monitored closely. In the past, 10% of the parts produced would b
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Answer:

With a .95 probability, the sample size that needs to be taken if the desired margin of error is .04 or less is of at least 216.

Step-by-step explanation:

In a sample with a number n of people surveyed with a probability of a success of \pi, and a confidence level of 1-\alpha, we have the following confidence interval of proportions.

\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}

In which

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The margin of error:

M = z\sqrt{\frac{\pi(1-\pi)}{n}}

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p = 0.1

95% confidence level

So \alpha = 0.05, z is the value of Z that has a pvalue of 1 - \frac{0.05}{2} = 0.975, so Z = 1.96.

With a .95 probability, the sample size that needs to be taken if the desired margin of error is .04 or less is

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M = z\sqrt{\frac{\pi(1-\pi)}{n}}

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With a .95 probability, the sample size that needs to be taken if the desired margin of error is .04 or less is of at least 216.

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