If

is the variable of the horizontal axis, then you can solve for

to get the equation of the line in slope-intercept form in the

plane:

i.e. a line with slope

through the origin, which means it is contained in the first and third quadrants. Since the terminal side of

has a negative sine, the angle must lie in the third quadrant.
Because the slope of the line is

, you can choose any length along the line to make up the hypotenuse of a right triangle with reference angle

. Any such right triangle will have

, regardless of whether the angle is the first or third quadrant. But since

is known to lie in the third quadrant, and so

and

are both negative, you have
Step-by-step explanation:
0 is neither a rational number nor an irrational number
Answer:
We are 98% confident interval for the mean caffeine content for cups dispensed by the machine between 107.66 and 112.34 mg .
Step-by-step explanation:
Given -
The sample size is large then we can use central limit theorem
n = 50 ,
Standard deviation
= 7.1
Mean
= 110
1 - confidence interval = 1 - .98 = .02
= 2.33
98% confidence interval for the mean caffeine content for cups dispensed by the machine = 
= 
= 
First we take + sign
= 112.34
now we take - sign
= 107.66
We are 98% confident interval for the mean caffeine content for cups dispensed by the machine between 107.66 and 112.34 .
No solution, the answer is no solution
Answer:
3
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