It takes 28 minutes for 7 people to paint 7 walls.

Mathematics

2 answers:

JulijaS [17]3 years ago

8 0

Answer: 28 minutes

Step-by-step explanation:

If M1 men can do W1 work in working H1 hours per day and M2 men can do W2 work in working H2 hours per day (where all men work at the same rate), then

$\frac{M_1H_1}{W_1}=\frac{M_2H_2}{W_2}\\\Rightarrow\frac{7\times28}{7}=\frac{14H_2}{14}\\\Rightarrow\frac{28}{1}=H_2\\\Rightarrow\ H_2=28$

hence, It takes 28 minutes for 14 people to paint 14 walls.

ELEN [110]3 years ago

4 0

Well, since you have twice as many people and twice as many walls. It would take them also 28 minutes to paint all the walls.
Hope I helped!

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The 95.5% confidence interval would be given by (0.344;0.432)

Step-by-step explanation:

Previous concepts

A confidence interval is "a range of values that’s likely to include a population value with a certain degree of confidence. It is often expressed a % whereby a population means lies between an upper and lower interval".

The margin of error is the range of values below and above the sample statistic in a confidence interval.

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".

The population proportion have the following distribution

$p \sim N(p,\sqrt{\frac{p(1-p)}{n}})$

Solution to the problem

The estimated proportion on this case is given by:

$p = \frac{X}{n}= \frac{194}{500}=0.388$

In order to find the critical value we need to take in count that we are finding the interval for a proportion, so on this case we need to use the z distribution. Since our interval is at 95.5% of confidence, our significance level would be given by $\alpha=1-0.955=0.045$ and $\alpha/2 =0.0225$ . And the critical value would be given by: