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Marianna [84]
3 years ago
9

A rope is at least 21 feet long. You want to cut it into 3 pieces. The second piece is to be twice as long as the first piece,an

d the third piece is to be one foot longer than the second piece. What is the minimum length of the first piece of rope
Mathematics
1 answer:
Yuri [45]3 years ago
5 0

Answer:

the first piece of rope would be 4 feet

Step-by-step explanation:

4 + 8 + 9 = 21

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the total due including tip is 55.20

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What are three ratios that are equivalent to 6/7
Tasya [4]

14 and 21 and 18

is three of them

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Solve for x please thanks
stealth61 [152]

Answer:

x = 9

Step-by-step explanation:

17x - 1 = 84 + 7x + 5

17x - 7x = 84 + 5 + 1

10x = 90

x = 9

3 0
2 years ago
The 2010 General Social Survey reported a sample where about 48% of US residents thought marijuana should be made legal. If we w
Sati [7]

Answer:

The sample size is  n  = 600

Step-by-step explanation:

From the question we are told that

    The  sample proportion is  \r  p = 0.48

     The  margin of error is  MOE  =  0.04

Given that the confidence level is 95%  the level of significance is mathematically represented as

        \alpha  =  100 - 95

        \alpha  =  5 \%

        \alpha  =  0.05

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

                   Z_{\frac{\alpha }{2}  } =  1.96

The reason we are obtaining critical value of    \frac{\alpha }{2} instead of    \alpha is because  

\alpha represents the area under the normal curve where the confidence level interval (  1-\alpha) did not cover which include both the left and right tail while  

\frac{\alpha }{2} is just the area of one tail which what we required to calculate the margin of error

Generally the margin of error is mathematically represented as

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

substituting values

          0.04= 1.96*  \sqrt{ \frac{0.48(1-  0.48 )}{n} }

         0.02041 = \sqrt{ \frac{0.48(52 )}{n} }

         0.02041 = \sqrt{ \frac{ 0.2496}{n} }

          0.02041^2  = \frac{ 0.2496}{n}

           0.0004166 = \frac{ 0.2496}{n}

=>       n  = 600

   

5 0
3 years ago
The question says 5k+6k+4k=90. What does k equal?
alina1380 [7]
5k+6k+4k=90 \\ \\ 15k = 90 \ / \ simplify \\ \\ k =  \frac{90}{15} \ / \ divide \ each \ side \ by \ 15 \\ \\ k = 6 \ / \ simplify \\ \\

The final result is, k = 6.
5 0
3 years ago
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