Answer: Distance from Cleveland to Cincinnati on the second map is 8 km.
Step-by-step explanation:
Since we have given that
The scale on the first map is

That means

Distance from Cleveland to Clncinnati = 40 cm
So,

Similarly, Scale on the second map is given by

So, our 400 km in second map will be

Hence, Distance from Cleveland to Cincinnati on the second map is 8 km.
Answer:
n = 61 costumers
Step-by-step explanation:
For calculating the number of costumers he should sample we use the next equation:

Where E is the error that we are prepared to accept, in this case E = 0.15
How we don't know the value of p, we can estimate it like p = 0.5
∝ = 1-0.98 = 0.02
1-∝/2 = 0.99


n = 60.32 costumers
n ≈ 61 costumers
See attached picture for better understanding of the problem. In the problem, the given values are the following:
hypotenuse = length of the ladder
adjacent = base of the ladder to base of the wall
Solving the angle x, we have the solution as below:
cos x = adjacent / hypotenuse
cos x = 91 / 350
x = 74.93°
The answer is 74.93°.