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:

Step-by-step explanation:
The sum of the interior angles of a triangle is 180 degrees. Thus, angle C must be
.
In any triangle, the Law of Sines is given by
.
Therefore, we have:


Answer:
i don't know
Step-by-step explanation:
Answer:
5400
Step-by-step explanation:
Let x represent the cost of a chair and y represent the cost of a table. We can use this to set up a system of equations:
7x=2y
6x+5y=10575
We can solve this system using substitution.
Start by rewriting the first equation in terms of x.

Substitute this into the second equation:

Multiply both sides by 7

Divide both sides by 47

This means...

Divide both sides by 7

One chair costs 450. Now, multiply this number by 12 to find the cost of 12 chairs.

12 chairs cost 5400.
Answer:
no
Step-by-step explanation:
most people go through mid school cheating