√9 is rational and √3 irrational number
<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: v = 793.77 mph
Step-by-step explanation: Linear speed of a circular movement is calculated by using the formula:
v = ω.r
where
ω is angular velocity
r is radius of the path
<u>Angular</u> <u>velocity</u> is the rate of change of the angular position of an object with respect of time, i.e., is how fast an object changes its angular position with time:

The Earth takes 24 hours to complete a rotation, then angular velocity:

0.262 rad/h
At a location 40° north, radius is 3033.5 miles, so:
v = 0.262*3033.5
v = 793.77
<u>At latitude of 40°north, linear speed is </u><u>793.77mph</u>.
Answer:
D
Step-by-step explanation:
A: You wear a glove on your hand
B:Same answer as A
C:A wool sock is worn on your foot but it's not made of leather
D:Is made of leather and can be worn on your foot
Answer:
the relationship is 10. I think sorry if im being d#mb
Step-by-step explanation: