Answer:
or 1.9099
Step-by-step explanation:
Look for y values at each of those given values of "x" and apply the slope formula. When x = pi. y = -1 so the coordinate is 
. When x = 3pi/2, y = 2 so the coordinate is 
Plug those values into the slope formula:
You need a common denominator of pi:
Do the math on that to get a slope of 
Answer:
answer A shows a rotation
Answer: y= -1/4
Step-by-step explanation: _4y+8=9
-4Y=1 subtract the 8 (-8) from both sides
divide 4 by both sides and get -1/4
<span>(a) 2.09302406
(b) Lower limit of 95% confidence interval = 185.85
(a) To get the t-score, first determine the number of degrees of freedom you have. That's simply the number of samples minus 1, so in this case we have 19 degrees of freedom. Then calculate (1-0.95)/2 = 0.05/2 = 0.025 which is the size of the tail for the confidence interval you want. Finally, lookup in a T-Distribution Table for the 19 degrees of freedom and tail size. The value looked up will be 2.09302406.
(b) Once you have the t-score, to calculate your desired interval, calculate the following:
V = T*SD/sqrt(n)
where
V = Variance
T = T-score
SD = Standard deviation
n = number of samples
So let's plug in the values and calculate V
V = T*SD/sqrt(n)
V = 2.09302406*21.02/sqrt(20)
V = 2.09302406*21.02/4.472135955
V = 43.99536574/4.472135955
V = 9.837662849
Your 95% confidence interval is now the mean +/- V. So
lower limit = 195.69 - 9.84 = 185.85
upper limit = 195.69 + 9.84 = 205.53</span>
Answer:
First one: 0.4
Second one: 4
Step-by-step explanation:
We find the cube root of 0.064 which is 0.4
In order to find the length of side s, we just cube root 64 because it is 
