Answer:
x = 9
Step-by-step explanation:
Sum of a triangle is 180°.
6x + 1 + 6x - 14 + 9x + 4 = 180°
Arrange the like terms together and simply this equation.
6x + 6x + 9x + 1 + 4 - 14 = 180°
21x - 9 = 180°
Shifting '-9' to the other side of the equation gives you '+9'
21x = 180° + 9
21x = 189
Shifting 21 to the other side of the equation (to get x) makes it ÷21 (multiply)
x = 189 ÷ 21
x = 9
Answer:
Step-by-step explanation:
a)
Confidence interval in less than symbol expressed as

Where
is sample mean and
is margin of error.

b)
The given t interval is 
That is
and
Solve these two equation by adding together.
Solve this value of \bar{x} in equation
and solve for

Best point estimate of 
Best point estimate of margin of error = 0.193
c)
Since sample size = 100 which is sufficiently large (Greater than 30) , it is no need to confirm that
sample data appear to be form a population with normal distribution.
Answer:
To transform from polar coordinates into Cartesian coordinates we have:
x = r x cos(theta)
y = r x sin(theta)
r^2 = x^2 + y^2
=> r = 2*cos(theta)
<=> r = 2*(x/r)
<=> 2x = r^2
<=> 2x = x^2 + y^2
Hope this helps!
:)