Answer: 8.1%
Step-by-step explanation:
Given : 

Let x be the random variable that represents the actual speeds of cars.
The speed limit on a road is 60 mph.
Using formula ,
, we have for x= 60+10=70

Using z-table for right-tailed test value, The probability of cars exceed the speed limit by more than 10 mph will be

Hence, the percentage of cars exceed the speed limit by more than 10 mph is 8.1%.
Given:
PV = 13,440
i = 5.86% , compounded monthly
t = 4 years
13,440(0.0586/12))/(1-(1+0.0586/12)^-48= 15,109.44
15,109.44 + 156.60 = 15,266.04
15,266.04 - 13,440.00 = 1,826.04
<span>1,826.04/15,266.04 = 11.96 % Percentage total of Finance Charge of the total loa</span>
Answer:
0.1/4-3/20=1/40-6/40=-1/8 200% of this is -1/4
Step-by-step explanation:
Answer:
the rate of change in volume is dV/dt = 4π mm³/s = 12.56 mm³/s
Step-by-step explanation:
since the volume V of a cylinder is related with the height H and the radius R through:
V = πR²*H
then the change in time is given by the derivative with respect to time t
dV/dt = (∂V/∂R)*(dR/dt) + (∂V/∂H)*(dH/dt)
the change in volume with radius at constant height is
(∂V/∂R) = 2*πR*H
the change in volume with height at constant radius is
(∂V/∂H) = πR²
then
dV/dt = 2π*R*H *(dR/dt) + πR²*(dH/dt)
replacing values
dV/dt = 2π* 2 mm * 20 mm * (-0.1 mm/s) + π (2 mm) ²* 3 mm/s = 4π mm³/s
dV/dt = 4π mm³/s = 12.56 mm³/s
Answer:
A) Sheri has the faster commute by 6.2 miles/hr.
Step-by-step explanation:
Given
John's commute to work
Sheri's commute to work

John's commute to work in miles per hour = 
Sheri's commute to work in miles per hour =
We can see that Sheri has a faster commute.
Difference between the rates =
∴ Sheri has the faster commute by 6.2 miles/hr.