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Maslowich
3 years ago
14

The length of a rectangle is 3 meters more than the width. If the perimeter is 170 meters, what are the length and the width?

Mathematics
1 answer:
alexandr1967 [171]3 years ago
6 0

Answer:

41,44

Step-by-step explanation:

make the width x. lenght = x+3.

so, the perimeter will be x+x+3+x+x+3=170.

Simplifiyng, 4x+6=170

subtract six from both sides. Get 4x=164

Divide by 4. Get x=41

add three. Get length = 44

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Answer:

3,000 is your answer.

Step-by-step explanation:

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3 years ago
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A sporting good store is offering an additional 30% off all clearance items and she purchases a pair of running shoes on clearan
Talja [164]

Answer:

Total discount = $39.50

                  or 46.47 %

Step-by-step explanation:

First we need to figure out what she will pay for the shoes.  She is getting 30 percent off the 65 dollars.

Discount = price * percent off

                = 65*.3

                = 19.50

The cost of her shoes is the price minus the discount.

Cost = 65- 19.5

        = 45.50


To find the total discount, take the original price and subtract the final cost.

Total discount = 85-45.50

                        = 39.50

To find the total percent discount, we use the formula

      total percent discount = (original - final)/original * 100

                                             = (85- 45.50)/85 * 100

                                             = 39.5/85*100

                                              = 46.47%

4 0
3 years ago
A counselor at a community college claims that the mean GPA for students who have transferred to State University is more than 3
Lena [83]

Answer:

t=\frac{3.25-3.1}{\frac{0.3}{\sqrt{36}}}=3  

If we compare the p value and the significance level for example \alpha=1-0.99=0.01 we see that p_v so we can conclude that we have enough evidence to reject the null hypothesis.

And the best conclusion would be:

a) Yes. The counselor's claim is valid

Because we reject the null hypothesis in favor to the alternative hypothesis.

Step-by-step explanation:

Data given and notation  

\bar X=3.25 represent the sample mean

s=0.3 represent the sample standard deviation

n=36 sample size  

\mu_o =3.1 represent the value that we want to test  

\alpha represent the significance level for the hypothesis test.  

t 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 the mean is more than 3.1, the system of hypothesis would be:  

Null hypothesis:\mu \leq 3.1  

Alternative hypothesis:\mu > 3.1  

If we analyze the size for the sample is < 30 and we don't know the population deviation so is better apply a t test to compare the actual mean to the reference value, and the statistic is given by:  

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

t-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:  

t=\frac{3.25-3.1}{\frac{0.3}{\sqrt{36}}}=3  

P-value  

The first step is calculate the degrees of freedom, on this case:  

df=n-1=36-1=35  

Since is a one right tailed test the p value would be:  

p_v =P(t_{(35)}>3)=0.00247  

Conclusion  

If we compare the p value and the significance level for example \alpha=1-0.99=0.01 we see that p_v so we can conclude that we have enough evidence to reject the null hypothesis.

And the best conclusion would be:

a) Yes. The counselor's claim is valid

Because we reject the null hypothesis in favor to the alternative hypothesis.

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