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: 10 inches.
Step-by-step explanation:
Since the pecan pie is a circle, you can use this formula:
Where "r" is the radius and 
is the central angle of the arc in radians.
If the pecan pie has been cut into 8 equal pieces then the central angle is:
Now you know the arc length and the central angle, then, you can solve for "r" from :
Substituting values, you get that the radius of the pecan pie rounded to the nearest whole number is:
Answer:
(3+d)(9-3d+d^2)
Step-by-step explanation:
a^3 + b^3 = (a+b)(a^2-ab+b^2)
a= 3
b= d
Write it in descending order of degree
that is
-g^3 + 6g^2 + 4g - 9
Even numbers are considered divisible by 2
Prime numbers are numbers divisible by 1
Considering that in this situation, we only need positive numbers, 2 is the only number. It is even and also prime.
Therefore prime numbers
