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umka2103 [35]
3 years ago
9

The length of a rectangle is 19 feet longer than the width. If the perimeter is 46 feet, write an equation for this scenario

Mathematics
1 answer:
user100 [1]3 years ago
6 0

Answer: The equation shall be

8 = 4W

Step-by-step explanation: The perimeter has been given as 46 feet, whereas the length and the width are not yet given. But the clue we have states that “the length is 19 feet longer than the width,” which means, if the width is W then the length shall be 19 plus W. We can express the dimensions as;

Length = 19 + W

Width = W

We can now express the perimeter as follows;

Perimeter = 2(L + W)

46 = 2(19 + W + W)

46 = 2(19 + 2W)

46 = 38 + 4W

Subtract 38 from both sides of the equation

8 = 4W

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An Article a Florida newspaper reported on the topics that teenagers most want to discuss with their parents. The findings, the
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Answer:

The estimate is  P__{hat}} \pm E  = 0.37 \pm 0.0348

Step-by-step explanation:

From the question we are told that  

    The sample size is  n =  522

    The sample proportion of students  would like to talk about school is  \r p__{hat}} =  0.37

  Given that the confidence level is  90 % then the level of significance can be mathematically evaluated as

                  \alpha  =  100 - 90

                  \alpha  =  10\%

                  \alpha  =  0.10

Next we obtain the critical value of  \frac{\alpha }{2} from the normal distribution table, the value is  

               Z_{\frac{\alpha }{2} } =Z_{\frac{0.10}{2} } =  1.645

Generally the margin of error can be mathematically represented as

               E =  Z_{\frac{\alpha }{2} } *  \sqrt{\frac{\r P_{hat}(1- \r P_{hat} )}{n } }

=>            E = 1.645 *  \sqrt{\frac{0.37 (1- 0.37  )}{522 } }

=>             E = 0.0348

Generally the estimate the proportion of all teenagers who want more family discussions about school at 90% confidence level is  

                       P__{hat}} \pm  E

substituting values

                     0.37 \pm 0.0348

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