They site there sources or give information to prove why there point is correct
Sin (x) = 12/13 this is because sine is opposite divided by hypotenuse.
cos (x) = 5/13 this is because cosine is adjacent divided by hypotenuse.
tan (x) = 12/5 this is because tangent is opposite divided by adjacent.
Slope is -4-1/-7-3= -5/-10=1/2 it is y2-y1/x2-x1
the equation is y-y1= m(x-x1)= y-(-4) =1/2(x-3) =y+4 =1/2(x-3)
Use the polynomial remainder theorem. It says that a polynomial
has remainder
upon division by
.
Here we have

and
, so the remainder is

Answer:
--- test statistic
--- p value
Conclusion: Fail to reject the null hypothesis.
Step-by-step explanation:
Given


--- Null hypothesis
---- Alternate hypothesis

Solving (a): The test statistic
This is calculated as:

So, we have:






Solving (b): The p value
This is calculated as:

So, we have:

Look up the z probability in the z score table. So, the expression becomes


Solving (c): With
, what is the conclusion based on the p value
We have:

In (b), we have:

By comparison:

i.e.

So, we fail to reject the null hypothesis.