Answer:
The probability that the person gets a speeding ticket is 0.27
Step-by-step explanation:
The probability that the person receives a speeding ticket is the probability that the person passes through any of the speed limits and the radar is operating at that time.
Let
is the probability that the person passes through radar
and it is operating at that time is

Where
P(1) is the probability of person passes through 
P(2) is probability that the radar is operating

Similarly the probabilities are calculated for other radars in the similar manner as


Thus the reuired probability of the reuired event is

Answer:
x² - 4x + 3 = 0
Step-by-step explanation:
given roots x = a and x = b then the corresponding factors are
(x - a) and (x - b)
the equation is then the product of these factors , that is
(x - a)(x - b) = 0
given
roots x = 3 and x = 1 , then factors are (x - 3) and (x - 1) , then
(x - 3)(x - 1) = 0 ← expand factors using FOIL
x² - 4x + 3 = 0
Length of the rectangle is 8 units
Step-by-step explanation:
- Step 1: Find the length, let width be x.
Area of the rectangle = 48 units
Length = x + 2
⇒ Area = Length × Breadth
48 = x (x + 2)
48 = x² + 2x
x² + 2x - 48 = 0
x² + 8x - 6x + 48 = 0 (Product Sum rule to factorise)
x(x + 8) - 6(x + 8) = 0
(x - 6)(x + 8) = 0
⇒ x = 6, -8 (negative value is neglected)
∴ x = 6
x + 2 = 8
Answer:
D.
Step-by-step explanation:
that is the answer to the question above
Answer:
x = -7
Step-by-step explanation:
41 + 76 + x + 70 = 180
x + 187 = 180
x = 180 - 187
x = -7