Answer:
a
The null hypothesis is 
The alternative hypothesis 
b

c
The decision rule is
Fail to reject the null hypothesis
Step-by-step explanation:
From the question we are told that
The value given is
S/N
1 7 5
2 4 3
3 8 7
4 8 8
5 7 9
6 7 5
7 6 5
Generally the sample mean for the first sample is mathematically represented as

=> 
=> 
Generally the sample mean for the second sample is mathematically represented as

=> 
=> 
Generally the sample standard deviation for the first sample is mathematically represented as

=> 
=> 
Generally the sample standard deviation for the second sample is mathematically represented as

=> 
=> 
Generally the pooled standard deviation is

=> 
=> 
The null hypothesis is 
The alternative hypothesis 
Generally the test statistics is mathematically represented as

=> 
=> 
Generally the degree of freedom is mathematically represented as

=> 
=> 
From the t distribution table the probability of
at a degree of freedom of
is

Generally the p-value is

From the values obtained we see that
hence
The decision rule is
Fail to reject the null hypothesis
Answer:

Step-by-step explanation:
Equation: 
1).
→
2).
∴ 
3). 

4). now plug
into 


5). Minimum (0,-5) ∴ 
Answer:

divide each term by two and simplify.
Give me my milf.
Answer:
Surface area of the wood to be painted = (
+ r
)
- 16
Step-by-step explanation:
Surface area of a cone is given as the sum of the surface area and the area of its base.
i.e Surface area = 
+
Lr
where: L is the length of its slant height and r is the radius.
Applying the Pythagoras theorem,
L = 
Thus,
Surface area =
r (r +
)
The given cylindrical hole has a radius of 4 cm and depth 2 cm.
The area of one of its circular surfaces = 

=
× 
= 16

The surface area of the piece of wood to be painted = surface area of cone - area of cylindrical circular surface.
Surface area of the wood to be painted =
r (r +
) - 16
Answer: Yes.
Step-by-step explanation: Right triangles are 90° and with a square. This is a right triangle. Just remove the line that makes it a triangle, you'll see.