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____ [38]
2 years ago
8

Trish and Aria are walking to raise money for the school library. Trish has walked 38 miles and walks 10 miles each week. Aria h

as walked 30 miles and walks 12 miles each week
Mathematics
1 answer:
schepotkina [342]2 years ago
5 0

Answer:

C. 4 weeks

Step-by-step explanation:

Trish and Aria are walking to raise money for the school library. Trish has walked 38 miles and walks 10 miles each week. Aria has walked 30 miles and walks 12 miles each week

After how many weeks will Trish and Aria have walked the same number of miles? A. 2 weeks B. 3 weeks C. 4 weeks D. 5 weeks

Trish = 38 + 10x

Aria = 30 + 12x

Where,

x = number of weeks

After how many weeks will Trish and Aria have walked the same number of miles?

Equate both equations

38 + 10x = 30 + 12x

38 - 30 = 12x - 10x

8 = 2x

x = 8/2

x = 4 weeks

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The sample size is  n  = 600

Step-by-step explanation:

From the question we are told that

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

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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

   

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<h3>What is an equation?</h3>

An equation is formed when two equal expressions are equated together with the help of an equal sign '='.

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