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JulsSmile [24]
3 years ago
15

The length of a rectangle is 3x-5 and the width of the rectangle is 2x+7. Find the perimeter.

Mathematics
1 answer:
Vinvika [58]3 years ago
7 0

Answer:

The perimeter is 110 cm.

Step-by-step explanation:

The length of a rectangle is 3x-5 and the width of the rectangle is 2x+7. Find the perimeter.

if we condense that

Perimeter = 2(Length) + 2(Width)

Now we can see how the answer forms. If we plug in our equations from above:

100 = 2(3x + 5) + 2(2x)

Distributing

100 = 6x + 10 + 4x

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Jakob simplified the expression as shown.
Flauer [41]

Answer:

He simplified the x coefficients incorrectly

Step-by-step explanation:

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2 years ago
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X3 − 6x2 − 7x + 60 = 0
inna [77]
An equation ........
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In 2005, the price of a tv was $1599.00. In 2002, the price of the same type of tv has dropped to $399.00 Calculate the percent
xxTIMURxx [149]
<span>In 2005, the price of a TV was $1599.00.
In 2002, the price of the same type of tv has dropped to $399.00
Let’s Calculate the percent of decrease.
First subtract 1599 dollars with 399 dollars to know how much did the price of TV decreased.
=> 1 599 – 399 = 1 200 is the amount the decreased on TV’s price
=> 1 200 / 1599 = 0.75
=> 0.75 * 100% = 75%
Thus, the price of TV had been decreased to 25%, 75% of it were decreased</span>



3 0
3 years ago
Wal-Mart conducted a study to check the accuracy of checkout scanners at its stores. At each of the 60 randomly selected Wal-Mar
Mamont248 [21]

Answer:

a

The 95% confidence interval is

   0.7811 <  p <  0.9529

Generally the interval above can interpreted as

    There is 95% confidence that the true proportion of Wal-Mart stores that have more than 2 items priced inaccurately per 100 items scanned lie within the interval  

b

  Generally  99% is outside the interval obtained in a  above then the claim of Wal-mart is not believable  

c

 n =  125  \  stores  

Step-by-step explanation:

From the question we are told that

    The sample size is  n =  60  

    The number of stores that had more than 2 items price incorrectly is  k =  52  

   

Generally the sample proportion is mathematically represented as  

             \^ p  =  \frac{ k }{ n }

=>          \^ p  =  \frac{ 52 }{ 60 }

=>          \^ p  =  0.867

From the question we are told the confidence level is  95% , hence the level of significance is    

      \alpha = (100 - 95 ) \%

=>   \alpha = 0.05

Generally from the normal distribution table the critical value  of  \frac{\alpha }{2} is  

   Z_{\frac{\alpha }{2} } =  1.96

Generally the margin of error is mathematically represented as  

     E =  Z_{\frac{\alpha }{2} } * \sqrt{\frac{\^ p (1- \^ p)}{n} }

=>   E =  1.96  * \sqrt{\frac{ 0.867  (1- 0.867)}{60} }

=>   E =  0.0859

Generally 95% confidence interval is mathematically represented as  

      \^ p -E <  p <  \^ p +E

=>    0.867  - 0.0859  <  p <  0.867  +  0.0859

=>    0.7811 <  p <  0.9529

Generally the interval above can interpreted as

    There is 95% confidence that the true proportion of Wal-Mart stores that have more than 2 items priced inaccurately per 100 items scanned lie within the interval  

Considering question b

Generally  99% is outside the interval obtained in a  above then the claim of Wal-mart is not believable  

   

Considering question c

From the question we are told that

    The margin of error is  E = 0.05

From the question we are told the confidence level is  95% , hence the level of significance is    

      \alpha = (100 - 95 ) \%

=>   \alpha = 0.05

Generally from the normal distribution table the critical value  of  \frac{\alpha }{2} is  

   Z_{\frac{\alpha }{2} } =  1.645

Generally the sample size is mathematically represented as  

    n = [\frac{Z_{\frac{\alpha }{2} }}{E} ]^2 * \^ p (1 - \^ p )

=> n=  [\frac{1.645 }}{0.05} ]^2 * 0.867  (1 - 0.867 )

=>   n =  125  \  stores  

4 0
3 years ago
Mr. Eanes spent $205.60 at Target. There was a 15% off sale. How much discount did he get?
mojhsa [17]

Answer:

$174.76

Step-by-step explanation:

205.60                     205.60

x 0.15        ---->        - 30.84

-------------   Next      ---------------

30.84                        $174.76

Hope this helped!

8 0
2 years ago
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