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BigorU [14]
4 years ago
15

You paint 12 wall in 14 hour. At that rate, how long will it take you to paint one wall?

Mathematics
2 answers:
egoroff_w [7]4 years ago
7 0
So for this question we have 12 wall in 14 hours and we want to know 1 wall in how many hours so you can say 14 /12 = ?/1 ⇒ ? ? = ( 1×14 )/12 =14 /12 = 1.166
i hope this be helpful :))
* merry Christmas * 
Masteriza [31]4 years ago
4 0
To answer this we will find the unit rate. To find the unit rate we will set up a proportion:- 

\frac{x}{1} =  \frac{14}{12}

♥1 × 14 = 14
♥ 14 ÷ 12 = <span>1.166.....

So, in 1 hour </span><span>1.166..... walls can be painted.

Hope I helped ya!! </span>
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. Exam scores for a large introductory statistics class follow an approximate normal distribution with an average score of 56 an
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Answer:

0.1% probability that the average score of a random sample of 20 students exceeds 59.5.

Step-by-step explanation:

The Central Limit Theorem estabilishes that, for a random variable X, with mean \mu and standard deviation \sigma, a large sample size can be approximated to a normal distribution with mean \mu and standard deviation \frac{\sigma}{\sqrt{n}}

Normal probability distribution

Problems of normally distributed samples can be 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 = 56, \sigma = 5, n = 20, s = \frac{5}{\sqrt{20}} = 1.12

What is the probability that the average score of a random sample of 20 students exceeds 59.5?

This is 1 subtracted by the pvalue of Z when X = 59.5. So

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

Z = \frac{59.5 - 56}{1.12}

Z = 3.1

Z = 3.1 has a pvalue of 0.9990.

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