X is Uniform(30, 45).
Find E ( X ), Var ( X ), and SD( X ) for the given random variable
37.5, 18.75, 4.330113
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A hypothesis test is to be performed. Describe the two possible outcomes of the test using the context of the given situation.Carter Motor Company claims that its new sedan, the Libra, will average better than 22 miles per gallon, which is the gas mileage of its competitor. The hypotheses are as follows:Null hypothesis: mean gas mileage = 23 mpg Alternative hypothesis: mean gas mileage > 23 mpg
A. Rejecting the null hypothesis means there is evidence that the mean gas mileage is not equal to 23 mpg. Failing to reject the null hypothesis means there is insufficient evidence to conclude that the mean gas mileage is greater than 23 mpg. B. Rejecting the null hypothesis means there is evidence that the mean gas mileage is greater than 23 mpg. Failing to reject the null hypothesis means there is insufficient evidence to conclude that the mean gas mileage is greater than 23 mpg. C. Rejecting the null hypothesis means there is evidence that the mean gas mileage is greater than 23 mpg. Accepting the null hypothesis means there is evidence to conclude that the mean gas mileage is equal to 23 mpg. D. Rejecting the null hypothesis means there is evidence that the mean gas mileage is greater than 23 mpg. Failing to reject the null hypothesis means there is insufficient evidence to conclude that the mean gas mileage is equal to 23 mpg.
Solve the problem.For a motorcycle traveling at speed v (in mph) when the brakes are applied, the distance d (in feet) required to stop the motorcycle may be approximated by the formula 
Find the instantaneous rate of change of distance with respect to velocity when the speed is 43 mph.
A. 4.3 mph B. 5.3 mph C. 44 mph D. 10.6 mph
Evaluate the line integral along the curve C.
ds , C is the curve r(t) = 3ti + (9 cos 
t)j + (9 sin 
t)k , 0 ? t ? 
?
A. 
+ 
B. 
?2 + 
C. 
?
D. 
?2 + 81
Determine whether the specified paradox occurs.A small country consists of 7 provinces with the following populations: 
There are 300 federal judges to be apportioned according to the population of each province. Does the Alabama paradox occur using Hamilton's method if the number of judges is increased from 300 to 301?
A. Yes B. No