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ioda
3 years ago
14

The length of a rectangle is three times its width. The perimeter of the rectangle is 100 inches. What are the dimensions of the

rectangle?
Mathematics
2 answers:
ser-zykov [4K]3 years ago
7 0

Answer:

We have l = 2w and 2l + 2w = 100 inches;

Then 4w + 2w = 100 inches;

6w = 100 inches;

w = 16.6;

l = 3 x 16.6;

l = 49.8 inches;


Step-by-step explanation:


m_a_m_a [10]3 years ago
3 0

Answer:

<h2>The dimensions are 12.5 inches width and 37.5 inches length.</h2>

Step-by-step explanation:

Givens:

  • Length is three times the width, this can be represented as: l=3w
  • The perimeter is 100 inches. The perimeter is expressed as: P=2(l+w)

So, to find the dimensions of the rectangle, that is, the length and width, we have to replace the first equation into the second one:

100=2(3w+w)\\\frac{100}{2}=4w\\w=\frac{100}{8}= 12.5 \ in

The length can be found using the first expression:

l=3(12.5)=37.5

Therefore, the dimensions are 12.5 inches width and 37.5 inches length.

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Answer:

z=\frac{4.6-4.8}{\frac{0.9}{\sqrt{180}}}=-2.98    

p_v =P(Z  

If we compare the p value and the significance level given \alpha=0.1 we see that p_v so we can conclude that we have enough evidence to reject the null hypothesis,and we have enough evidence to conclude that the true mean is significantly lower thn 4.8 at 10% of signficance.  

Step-by-step explanation:

Data given and notation  

\bar X=4.6 represent the sample mean

\sigma=0.9 represent the population standard deviation

n=180 sample size  

\mu_o =4.8 represent the value that we want to test

\alpha=0.1 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 conduct a hypothesis in order to check if thetrue mean is below the specifications, the system of hypothesis would be:  

Null hypothesis:\mu \geq 4.8  

Alternative hypothesis:\mu < 4.8  

If we analyze the size for the sample is > 30 and we know the population deviation so is better apply a z test to compare the actual mean to the reference value, and the statistic is given by:  

z=\frac{\bar X-\mu_o}{\frac{\sigma}{\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".  

Calculate the statistic

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

z=\frac{4.6-4.8}{\frac{0.9}{\sqrt{180}}}=-2.98    

P-value

Since is a one sided test the p value would be:  

p_v =P(Z  

Conclusion  

If we compare the p value and the significance level given \alpha=0.1 we see that p_v so we can conclude that we have enough evidence to reject the null hypothesis,and we have enough evidence to conclude that the true mean is significantly lower thn 4.8 at 10% of signficance.  

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3 years ago
Determine whether the following argument is valid or invalid.
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I think it’s the Law of Syllogism.


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3 years ago
How does the word equidistant relate to the term perpendicular bisector?
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6 0
3 years ago
There were 200 melons in a box and they were distributed to 3 children in the ratio of 4:3:3. The first child sold the melons at
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Answer:

$460

Step-by-step explanation:

let the number of melons be x

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10x = 200 so, x will be 20

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6 0
3 years ago
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cestrela7 [59]

Answer:

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Step-by-step explanation:

The shaded area is the difference of the large and small squares.

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<u>Area of small square:</u>

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