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attashe74 [19]
3 years ago
14

richie has a rug in his bedroom with a perimeter of 42 feet. the length of the rug is 12 feet what is the width of the rug

Mathematics
1 answer:
Usimov [2.4K]3 years ago
8 0

The width of the rug is 9 feet.

Step-by-step explanation:

Perimeter of rug = 42 feet

Lengths are same in square and rectangle shapes; therefore;

Length of rug = 12 feet

Width of rug = w

Perimeter = Length + Length + Width + Width

Perimeter = 12+12+w+w

42=24+2w\\42-24=2w\\18=2w\\2w=18

Dividing both sides by 2

\frac{2w}{2}=\frac{18}{2}\\w=9

The width of the rug is 9 feet.

Keywords: perimeter, division

Learn more about division at:

  • brainly.com/question/10879401
  • brainly.com/question/10940255

#LearnwithBrainly

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Answer:

The graph of y\:=\:\frac{1}{2}x  is also attached below, which indicates that there is a change of only one unit on the y-axis for every two units of x-values.

Step-by-step explanation:

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And the vertically change between two values is also called the rise.

The slope is basically the ratio of the vertical (rise) and horizontal (run) changes between two points on a line.

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Here fore every two units of x-values, one units are moved on the y-axis.

In other words, there is a change of only one unit on the y-axis for every two units of x-values.

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2 years ago
The average salary of all residents of a city is thought to be about $39,000. A research team surveys a random sample of 200 res
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Answer:

z=\frac{40000-39000}{\frac{12000}{\sqrt{200}}}=1.179    

p_v =2*P(z>1.179)=2*[1-P(Z    

Step-by-step explanation:

Data given and notation    

\bar X=4000 represent the average score for the sample    

s=12000 represent the sample standard deviation    

n=200 sample size    

\mu_o =39000 represent the value that we want to test    

\alpha represent the significance level for the hypothesis test.    

z would represent the statistic (variable of interest)    

p_v represent the p value for the test (variable of interest)    

State the null and alternative hypotheses.    

We need to apply a two tailed test.    

What are H0 and Ha for this study?    

Null hypothesis:  \mu = 39000    

Alternative hypothesis :\mu \neq 39000    

Compute the test statistic  

The sample size is large enough to assume the distribution for the statisitc normal. The statistic for this case is given by:    

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

z-test: "Is used to compare group means. Is one of the most common tests and is used to determine if the mean is (higher, less or not equal) to an specified value".    

We can replace in formula (1) the info given like this:    

z=\frac{40000-39000}{\frac{12000}{\sqrt{200}}}=1.179    

Give the appropriate conclusion for the test  

Since is a two tailed test the p value would be:    

p_v =2*P(z>1.179)=2*[1-P(Z    

Conclusion    

If we compare the p value and a significance level given for example \alpha=0.05 we see that p_v>\alpha so we can conclude that we have enough evidence to FAIL to reject the null hypothesis, then the true population mean for the salary not differs significantly from the value of 39000.    

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