Answer:
a) 47.55
b) 58
c) 47.88
Step-by-step explanation:
Given that the size of the orders is uniformly distributed over the interval
$25 ( a ) to $80 ( b )
<u>a) Determine the value for the first order size generated based on 0.41</u>
parameter for normal distribution is given as ; a = 25, b = 80
size/value of order = a + random number ( b - a )
= 25 + 0.41 ( 80 - 25 )
= 47.55
<u>b) Value of the last order generated based on random number (0.6)</u>
= a + random number ( b - a )
= 25 + 0.6 ( 80 - 25 )
= 25 + 33 = 58
<u>c) Average order size </u>
= ∑ order 1 + order 2 + ----- + order 10 ) / 10
= (47.55 + ...... + 58 ) / 10
= 478.8 / 10 = 47.88
T = k/R where k is the constant of variation, T=time and R=speed.
Plug in the given values:-
12 = k/60
k = 12*60 = 720
So the equation of variation is T = 720/R
At 85 mph we have
T = 720 / 85 = 8.47 hours (answer)
Answer:
7, 9, 17
Step-by-step explanation:
The sum of the two smallest numbers has to form a number larger that the largest number, and 7 + 9 = 16 which is less than 17.
ANSWER
See below
EXPLANATION
Part a)
The given function is
From the graph, we can observe that, the absolute maximum occurs at (-0.7746,6.1859) and the absolute minimum occurs at (0.7746,5.8141).
b) Using calculus, we find the first derivative of the given function.
At turning point f'(x)=0.
This implies that,
We plug this values into the original function to obtain the y-values of the turning points
We now use the second derivative test to determine the absolute maximum minimum on the interval [-1,1]
Hence
is a maximum point.
Hence
is a minimum point.
Hence (0,-6) is a point of inflexion
