I beleieve the answer is false
Answer:
1. 4.13
2. 1.6933
3. 1.3013
Step-by-step explanation:
We have
Probability to be equal to 59% = 0.59
Sample size = n = 7 likely US voters
1. The mean:
= np
= Sample size x probability
= 7 x 0.59
= 4.13
2. The variance = nap
n = sample size
q = 1-probability = 1-0.59 = 0.41
P = probability = 0.59
Variance = 7x0.59x0.41
= 1.6933
3. Standard deviation
= Square root of variance
√1.6933
= 1.3013
A mean of 4.13, indicates that 4 of these voters put political correctness ahead on the average.
Answer:
50 50 chance
Step-by-step explanation: If there are 20 spins in total, 10 spins are even and 10 spins are odd.
<span>Acceleration of a passenger is centripetal acceleration, since the Ferris wheel is assumed at uniform speed:
a = omega^2*r
omega and r in terms of given data:
omega = 2*Pi/T
r = d/2
Thus:
a = 2*Pi^2*d/T^2
What forces cause this acceleration for the passenger, at either top or bottom?
At top (acceleration is downward):
Weight (m*g): downward
Normal force (Ntop): upward
Thus Newton's 2nd law reads:
m*g - Ntop = m*a
At top (acceleration is upward):
Weight (m*g): downward
Normal force (Nbottom): upward
Thus Newton's 2nd law reads:
Nbottom - m*g = m*a
Solve for normal forces in both cases. Normal force is apparent weight, the weight that the passenger thinks is her weight when measuring by any method in the gondola reference frame:
Ntop = m*(g - a)
Nbottom = m*(g + a)
Substitute a:
Ntop = m*(g - 2*Pi^2*d/T^2)
Nbottom = m*(g + 2*Pi^2*d/T^2)
We are interested in the ratio of weight (gondola reference frame weight to weight when on the ground):
Ntop/(m*g) = m*(g - 2*Pi^2*d/T^2)/(m*g)
Nbottom/(m*g) = m*(g + 2*Pi^2*d/T^2)/(m*g)
Simplify:
Ntop/(m*g) = 1 - 2*Pi^2*d/(g*T^2)
Nbottom/(m*g) = 1 + 2*Pi^2*d/(g*T^2)
Data:
d:=22 m; T:=12.5 sec; g:=9.8 N/kg;
Results:
Ntop/(m*g) = 71.64%...she feels "light"
Nbottom/(m*g) = 128.4%...she feels "heavy"</span>
1/4 2/8 is equal to one-fourth
