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max2010maxim [7]
4 years ago
13

Peter has a part time job in factory and he can work 6 1/2 hours a day while his friend Joseph can work 1 2/3 hours more than Pe

ter.how many hours can Joseph work more than Peter?
Mathematics
1 answer:
masha68 [24]4 years ago
8 0

Given parameters:

Number of hours worked by Peter = 6.5hrs

Unknown:

Number of hours Joseph can work more than Peter =?

This problem is straight forward, the statement "his friend Joseph can work 1\frac{2}{3}

is the solution to the problem.

<u><em>Joseph can work 1</em></u>\frac{2}{3}<u><em> more than Peter. </em></u>

Overall, Joseph can work;

                  6.5hrs + 1\frac{2}{3}hr   = 8.2hrs

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A manufacturer of detergent claims that the contents of boxes sold weigh on average at least 20 ounces. The distribution of weig
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p_v =P(z  

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Step-by-step explanation:

Information provided

\bar X=19.87 represent the sample mean

\sigma=0.4 represent the population deviation

n=25 sample size  

\mu_o =68 represent the value that we want to test

\alpha=0.01 represent the significance level

z would represent the statistic

p_v represent the p value

Hypothesis to test

We want to test if the true mean is at least 20 ounces, the system of hypothesis would be:  

Null hypothesis:\mu \geq 20  

Alternative hypothesis:\mu < 20  

The statistic is given by:

z=\frac{\bar X-\mu_o}{\frac{\sigma}{\sqrt{n}}}  (1)  

Replacing the info given we got:

z=\frac{19.87-20}{\frac{0.4}{\sqrt{25}}}=-1.625    

The p value for this case would be given by:

p_v =P(z  

Since the p value is higher than the significance level provided we have enough evidence to FAIL to reject the null hypothesis and we can conclude that the true mean is not significantly less than 20 ounces.

7 0
3 years ago
Jake is buying a piece of recycled art from Luna. He started by giving her $50 and promised to pay her $5 a week until he pays t
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Answer: t = 50 + 5 w

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Which is the required relation between the total amount paid(t) and  the number of weeks (w) Jake will take to pay Luna.


6 0
3 years ago
Read 2 more answers
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