The system has no solutions
Here, we want to solve the system of linear equations
As we can see, the exact expression is what we have on the left side of both equations
The only different thing is what we have on the right hand side
What this mean is that no values of x and y can satisfy both equations
With that in mind, we have it that the system of equations has no solutions
let's recall that the vertical asymptotes for a rational expression occur when the denominator is at 0, so let's zero out this one and check.
Answer:
This person have a 29 % probability to receive a speeding ticket
Step-by-step explanation:
The probability of receive a speeding ticket in one of the traps is equal to the probability of going through that trap during the operation time of the trap.
Like we have four traps, and the probabilities are independent, then the probability of receive a speed ticket in one of them, is the sum of the probability for each trap.
P=P1+P2+P3+P4
The probability of going through a trap during the operation time is obtained by multiplying the probability of passing through the trap by the frequency of operation
Frequency of operation:
TL1 ⇒ 40 % = 0.4
TL2 ⇒ 30 % = 0.3
TL3 ⇒ 20 % = 0.2
TL4 ⇒ 30 % = 0.3
Probability of passing through these locations
PL1 ⇒ 0.3
PL2 ⇒ 0.2
PL3 ⇒ 0.4
PL4 ⇒ 0.1
then,
P1= TL1*PL1
P2= TL2*PL2
P3= TL3*PL3
P4= TL4*PL4
and
P = TL1*PL1 + TL2*PL2 + TL3*PL3 + TL4*PL4 = 0.12 + 0.06 + 0.08 + 0.03 = 0.29 = 29 %
This person have a 29 % probability to receive a speeding ticket
24 divided by 6( the amount of sides) is 4. The square root of 4 is 2 so each side is 2 cm. 2 cm tripled is 6 cm. 6 times 6 is 36 ( that is the surface area of one face). 36 times 6 (the number of faces) is 216 so the answer is 216 cm squared.
I believe the answer is 4.3
Hope I helped : )
