Shifting in the y direction is as simple as adding the shift, ie.,
f(x) = x+4.
In the x direction it is trickier because then you have to replace x by (x-a) where a is the shift to the right... (but that wasn't asked here).
Answer:
Step-by-step explanation:
apply the rule (a) = a 
apply the exponent rule
add the numbers
which would make the answer
Y = base pay + (variable pay * x)
37.50 = base pay + (variable pay * 5)
75 = base pay + (variable pay * 20)
let v be the variable pay:
base pay = y - variable pay * x
37.50 - 5v = 75 - 20v
-5v + 20v = 75 - 37.50
15v = 37.50
v = 37.50/15
v = 2.5
37.50 - 5(2.5) = 75 - 20(2.5)
37.50 - 12.50 = 75 - 50
25 = 25
base pay is 25 ; variable pay is 2.50 per newspaper delivered.
y = 25 + 2.50x
Answer:
2.7%
Step-by-step explanation:
Since the probability of having and accident or exceed the deductible does not depend on the color of the car, the events are independent.
Recall that if two events A and B with probabilities P(A), P(B) of occurrence are independent, then
P(A ∩ B) = P(A)P(B)
There is a 300/1000 = 0.3 probability of choosing a random car. So, if the actuary randomly picks a claim from all claims that exceed the deductible,the probability that the claim is on a red car is
0.3*0.10*0.9 = 0.027 or 2.7%
