A toll bridge charges $2 for passenger cars and $4.5 for other vehicles. Suppose that 80% of all cars passing from this bridge are passenger cars. If in a day40 vehicles cross the bridge, compute the expected toll revenue from all thesevehicles. You should use terminology of random variables to justify your steps. Hint: Let X be the number of passenger cars, then the toll revenue is a linearfunction of X...

Consider this data sequence: "3 11 5 5 5 2 4 6 6 7 3 -8". any value that is the same as the immediately preceding value is considered a consecutive duplicate. in this example, there are three such consecutive duplicates: the 2nd and 3rd 5s and the second 6. note that the last 3 is not a consecutive duplicate because it was preceded by a 7. write some code that uses a loop to read such a sequence of non-negative integers , terminated by a negative number. when the code finishes executing, the number of consecutive duplicates encountered is printed. in this case, 3 would be printed. assume the availability of a variable, stdin, that references a scanner object associated with standard input. that is, stdin = new scanner(system. in); is given.

Match the items with their respective descriptions.

:you areto design the controller for alight that functions both as an ordinary light and also as a motion activated light and alarm. a. if the manual switch s is on, then the light l is on. b. besides the manual switch, there is a motion detector, m1, which activatesthis light. c.if motion is detected but the light is on anyway because s is on, only then a secondoutput a, an alarm, is turned on. d. the disable switch, d, disables the motion activated light and alarmbut leaves manual control operation of the light using switch s.(i)read the problem statement and clearly identify the inputs and outputs for the circuit you are designing. (ii)create the truth table for this system; include the light, alarm, switch, disable, and the motion sensor.(iii)draw a schematic of this system.