Complete Question
The complete question is shown on the first uploaded image
Answer:
the null hypothesis is 
the alternative hypothesis is 
The test statistics is 
The p-value is 
so

Step-by-step explanation:
From the question we are told that
The population mean is 
The sample size is n= 38
The sample mean is 
The standard deviation is 
Generally the null hypothesis is 
the alternative hypothesis is 
Generally the test statistics is mathematically evaluated as

substituting values


The p-value is mathematically represented as

From the z- table

So

Find the perimeter of the polygon with the vertices g(2, 4), h(2,−3), j(−2,−3), g(2, 4), h(2,−3), j(−2,−3), and k(−2, 4)k(−2, 4)
Julli [10]
<span>The distance between g and h is sqrt[(2-2)^2+(4+3)^2]=7
The distance between h and j is sqrt[(2+2)^2+(-3+3)^2]=4
The distance between j and k is sqrt[(-2+2)^2+(-3-4)^2]=7
The distance between k and g is sqrt[(-2-2)^2+(4-4)^2]=4
The perimeter of the polygon is 7+4+7+4=22</span>