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: M= slope
M= -1/5
Step-by-step explanation:
M= the change in y over the change in x so you would do 1-4 over 13-(-2) which gives you -3 over 15 which is simplified to give you the answer which is -1/5.
Have you learned slope yet? Pick two points from the graph and do x-y on the top and x-y on the bottom. That would give you your slope then you can graph it. For example (-2,-1) (-1,1)
-2-(-1)
-1-1
Then that would give you -1/-2 so technically -1/2<< this is what you graph
You divide 10 by 5 is two so 19 decided by five is 3.8
The first step in calculating the mean is to add the numbers. After that you divide by the number of items in the data set. You don’t need to group the numbers to find the mean. Hope this helped!