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:



Answer:

y=mx+c, m represents the slope while c the y-intercept. (never forget that)

that is, hypotenuse.
Therefore, let the length of the hypotenuse be 'x.'

625+3600=

4225=

Therefore,

=x
65=x
The length of the hypotenuse is B.65 centimetres.
Answer:
Step-by-step explanation:
Use the half angle formulas
sin(θ/2) = ±√((1 - cosθ)/2)
sin(θ/2) = ±√((1 - (3/5))/2)
sin(θ/2) = ±√((2/5)/2)
sin(θ/2) = ±√(1/5)
knowing θ is in the 4th quadrant, θ/2 will be in the second quadrant where sines are positive.
sin(θ/2) = +√(1/5) = √0.2
Answer:
The second choice is the same so it is the last one