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
Part A
1 day = 1/4 hours of practice
7 days = 7/4 hours of practice (multiply both sides by 7)
1 week = 7/4 hours of practice
1 week = (4+3)/4 hours of practice
1 week = (4+3)/4 hours of practice
1 week = (4/4)+(3/4) hours of practice
1 week = 1+(3/4) hours of practice
1 week = 1 & 3/4 hours of practice
side note: 1 & 3/4 = 1.75
=======================================
Part B
Take the result from part A, and multiply it with 60
So we'll have 60 times 1&3/4 on the left side on the first line, then 60*(1+3/4) on the right side of this same line.
The rest of the lines look like this
(60*1) + (60*3/4)
60 + 60*3/4
60 + 180/4
60 + 45
105 minutes
Answer:
x > -6
Step-by-step explanation:
-5(-4) - 10 < 20
20 - 10 < 20
10 < 20
3x27=81 so 81 is a multiple of 3
there is no integer x for which 4x=46 so 46 is not a multiple of 4
there is no integer x for which 7x=55 so 55 is not a multiple of 7
72 = 8*9 so 72 is a multiple of 9
there is no integer x for which 6x=45 hence 45 is not a multiple of 6
Answer:
for six you got to get rid of the x's first the you it how u normally would
Step-by-step explanation:
