Answer:
it would take 20 miles and cost 10 dollars.
Step-by-step explanation: Like up the equations so that 50x=40x+200. When you solve for x (number of miles) you find that x=20. Use 20 in either equation (0.5x or 0.4x+2) to get 10 (total cost).
The Answer is x=2 for this problem
Answer:
θ = 27.47°
Step-by-step explanation:
This problem can be represented as a right-angled triangle, as shown in the diagram below.
To find θ, we apply the tangent part of the trigonometric ratios SOHCAHTOA:
tanθ = 
In the diagram, opposite = 1.3 m and adjacent = 2.5 m
Hence:
tanθ = 
tanθ = 0.52
θ = 
θ = 27.47°
The ramp forms 27.47° with the ground.
Answer:
a) 
b) 
c) 
d) 
Step-by-step explanation:
Let X the random variable of interest and we know that the distribution is given by:

And for this problem we can use the cumulative distribution function in order to solve the items:

Part a
We want to find this probability:

Part b

Part c

And we can calculate the probability with this difference:

Part d
Since we have a continuous distribution the the probability for an unique value would be:
