Answer:
A.

Step-by-step explanation:

6Myd = 1
y= 1/6Md is the answer
Let:
Vj = Speed of jane
Vm = Speed of mike
d = distance
t = time
Jane travels 7 mph less than 2 times as fast as Mike, therefore:
Vj = 2Vm - 7
Remeber:
distance = speed*time
Distance traveled by mike:
d=Vm*t = Vm*6
Distance traveled by jane:
d + 198 = Vj*6
where:
Vj = 2Vm - 7
d + 198 = (2Vm-7)*6
Now, let:
d=Vm*6 (1)
d + 198 = (2Vm-7)*6 (2)
Replace (1) into (2)
6Vm + 198 = 12Vm - 42
Subtract 6Vm from both sides:
6Vm + 198 - 6Vm = 12Vm - 42 - 6Vm
198 = 6Vm - 42
Add 42 to both sides:
198 + 42 = 6Vm - 42 + 42
240 = 6Vm
Divide both sides by 6:
240/6 = 6Vm/6
40 = Vm
Vm = 40mph
Replace Vm into this equation Vj = 2Vm - 7 :
Vj = 2(40) - 7 = 80 - 7 = 73mph
To get the probability of selecting a person who is a
democrat and is favour to the issue, let us first calculate for the portions in
each party who is favour on the issue.
p (rep & favour) = 0.4 * 0.3 = 0.12
p (dem & favour) = 0.6 * 0.7 = 0.42
Therefore the total portions who are favour is:
p (favour) = 0.12 + 0.42 = 0.54
Hence the probability is:
P (dem & favour) = 0.42 / 0.54 = 0.7778 = 0.78
Therefore there is about 78% probability that the person
selected who is favour to the issue is a democrat.