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:
FOR QUESTION 2
1. Segment addition postulate
2. Substitution
3. Substitution
4. Addition property of equality
5. Division property of equality
6 symmetric property
FOR QUESTION 3
1. given
2. Definition of complementary angles (complementary angles add upto 90)
3. Substitution
4. Subtraction property of equality
FOR QUESTION 4
1. Given
2. Definition of supplementary angles (supplementary angles add upto 180)
3. Definition of supplementary angles
4. Substitution
5. Subtraction property if equality
6. Definition of congruent angles (congruent angles are equal)
Step-by-step explanation:
Are you looking for y and if so y=80
hi
formula for cicrle circumference is 2 *radius*Pi
as radius is 45, Pi is 3.14....
I let you do the math...
11n+33 is the correct answer
