Answer:
a)Null hypothesis: 
      
Alternative hypothesis: 
      
b) A Type of error I is reject the hypothesis that  is equal to 40 when is fact
 is equal to 40 when is fact ![\mu is equal to 40c) We can commit a Type II Error, since by definition "A type II error is the non-rejection of a false null hypothesis and is known as "false negative" conclusion"Step-by-step explanation:Assuming this problem: "Some college graduates employed full-time work more than 40 hours per week, and some work fewer than 40 hours per week. We suspect that the mean number of hours worked per week by college graduates, [tex]\mu](https://tex.z-dn.net/?f=%5Cmu%20is%20%3Cstrong%3Eequal%20to%2040%3C%2Fstrong%3E%3C%2Fp%3E%3Cp%3Ec%29%20We%20can%20commit%20a%20Type%20II%20Error%2C%20since%20by%20definition%20%22A%20type%20II%20error%20is%20the%20non-rejection%20of%20a%20false%20null%20hypothesis%20and%20is%20known%20as%20%22false%20negative%22%20conclusion%22%3C%2Fp%3E%3Cp%3E%3Cstrong%3EStep-by-step%20explanation%3A%3C%2Fstrong%3E%3C%2Fp%3E%3Cp%3E%3Cstrong%3EAssuming%20this%20problem%3A%3C%2Fstrong%3E%20%22Some%20college%20graduates%20employed%20full-time%20work%20more%20than%2040%20hours%20per%20week%2C%20and%20some%20work%20fewer%20than%2040%20hours%20per%20week.%20We%20suspect%20that%20the%20mean%20number%20of%20hours%20worked%20per%20week%20by%20college%20graduates%2C%20%5Btex%5D%5Cmu) , is different from 40 hours and wish to do a statistical test. We select a random sample of college graduates employed full-time and find that the mean of the sample is 43 hours and that the standard deviation is 4 hours. Based on this information, answer the questions below"
 , is different from 40 hours and wish to do a statistical test. We select a random sample of college graduates employed full-time and find that the mean of the sample is 43 hours and that the standard deviation is 4 hours. Based on this information, answer the questions below"
Data given
 represent the sample mean
 represent the sample mean 
 population mean (variable of interest)
 population mean (variable of interest)
s=4 represent the sample standard deviation
n represent the sample size  
Part a: System of hypothesis
We need to conduct a hypothesis in order to determine if actual mean is different from 40 , the system of hypothesis would be:    
Null hypothesis: 
      
Alternative hypothesis: 
      
Part b
In th context of this tes, what is a Type I error?
A Type of error I is reject the hypothesis that  is equal to 40 when is fact [tex]\mu is equal to 40
 is equal to 40 when is fact [tex]\mu is equal to 40
Part c
Suppose that we decide not to reject the null hypothesis. What sort of error might we be making.
We can commit a Type II Error, since by definition "A type II error is the non-rejection of a false null hypothesis and is known as "false negative" conclusion"
 
        
                    
             
        
        
        
Answer:
Green box: 9
Step-by-step explanation:
7/7 x 9/10
1 x 9/10 = 9/10
 
        
             
        
        
        
Answer:
(
−
2
)
=
−
1
4
(
−
8
)
(x-2)=\frac{-1}{4}(x-8)
(x−2)=4−1(x−8)
Solve
1
Eliminate redundant parentheses
(
−
2
)
=
−
1
4
(
−
8
)
−
2
=
−
1
4
(
−
8
)
2
Combine multiplied terms into a single fraction
−
2
=
−
1
4
(
−
8
)
−
2
=
−
1
(
−
8
)
4
3
Distribute
−
2
=
−
1
(
−
8
)
4
−
2
=
−
+
8
4
4
Add 
2
2
2
 to both sides of the equation
−
2
=
−
+
8
4
−
2
+
2
=
−
+
8
4
+
2
5
Simplify
Add the numbers
=
−
+
8
4
+
2
Solution
=
1
6
5
Step-by-step explanation:
 
        
             
        
        
        
Answer:
It is the second picture.
Step-by-step explanation:
 
        
             
        
        
        
Answer:
Hey there!
We have tangent 29=h/400
Thus, tangent 29 times 400=h
h=221.7 feet. 
The height of the kite  is 221.7 feet. 
Hope this helps :)