Kevin installed a certain brand of automatic garage door opener that utilizes a transmitter control with four independent switches, each one set on or off. The receiver (wired to the door) must be set with the same pattern as the transmitter. If six neighbors with the same type of opener set their switches independently.<u>The probability of at least one pair of neighbors using the same settings is 0.65633</u>
Step-by-step explanation:
<u>Step 1</u>
In the question it is given that
Automatic garage door opener utilizes a transmitter control with four independent switches
<u>So .the number of Combinations possible with the Transmitters </u>=
2*2*2*2= 16
<u>
Step 2</u>
Probability of at least one pair of neighbors using the same settings = 1- Probability of All Neighbors using different settings.
= 1- 16*15*14*13*12*11/(16^6)
<u>
Step 3</u>
Probability of at least one pair of neighbors using the same settings=
= 1- 0.343666
<u>
Step 4</u>
<u>So the probability of at least </u>one pair of neighbors using the same settings
is 0.65633
Answer:
I can not see please take other picture
$55x5 days= $275
$285.20-275=$10.20
10.20/.15= 68
Answer= 68 miles
Lets plug in the answer choices and see which one works
A. x = -6
| -6 | < 3
6 < 3
False, so A is not the answer
B. x = -5
| -5 | < 3
5 < 3
False, so B isn't the answer
C. x = -1
| -1 | < 3
1 < 3
True, so C is the answer.
But lets just check D to make sure C is the answer.
D. x = 2
| 2 | < 3
2 < 3
False, so D isn't the answer either.
C is your answer :)
