Answer:
a) For this case we define the random variable as X ="waiting time during peak hours" and we know that this distribution follows an uniform distribution:
Where a and b represent the limits of the distribution.
b) 
And the height for this case would be 0.125
Step-by-step explanation:
Part a
For this case we define the random variable as X ="waiting time during peak hours" and we know that this distribution follows an uniform distribution:
Where a and b represent the limits of the distribution.
Part b
For this case the density function would be given by:
And the height for this case would be 0.125
And 
for other case.
The cumulative distribution function would be given by:
We need to get rid of expression parentheses.
If there is a negative sign in front of it,
each term within the expression changes sign.
Otherwise, the expression remains unchanged.
Numerical 'like' terms will be added. There is only one group of like terms
the answer is: ab-4a-5
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Answer:
3 < x < 27
Step-by-step explanation:
We can't tell what "must ne greater" means, so we'll tell you the limits on the side length and you can choose the one that is relevant.
The third side of a triangle must have a length that lies between the difference and sum of the two lengths you know.
15 -12 = 3
15 +12 = 27
The value of x must be between 3 and 27:
3 < x < 27
__
If you allow the triangle to have zero area, then x can be 3 or 27. Many authors claim such a "triangle" is not allowed, so don't allow those cases.
Answer:
(-4,3)
Step-by-step explanation:
The ratio 3:2 means you can divide it into 3+2 parts or 5 parts
To find the x value
-13 and 2 are 15 apart and 15/5=5 so 3(3)=9
so you add 9 to the x value of P so 9+-13=-4 so the x value of Q is -4
so the same for the y value
18 and -7 are 25 apart
25/5=5 so you subtract 5(3)=15 from the y value of P 18-15=3
so the y value Q is 3
so Q is
(-4,3)
