Answer:
(3,2)
Step-by-step explanation:
If you graph the equations, they cross at this point.
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
Camel back Mountain = 15,168 inches (1,264 feet)
- 1 Penny = 0.061 (.0610) Inches
- 10 Penny = 0.61 (.610) Inches
- 100 Penny = 6.1 (6.10) Inches
- 1,000 Penny = 61 (61.0) Inches
- 10,000 Penny = 610 (610.0) Inches
<u>-SOLVING-</u>
10,000 Penny = 610 inches PLUS
1,000 Penny = 61 inches AND 61 inches x 5 = 305 (5,000 Penny)
100 Penny = 6.1 inches PLUS
10 Penny = 0.61 inches AND 0.61 inches x 6 = 3.66 (60 Penny)
1 Penny = 0.061 inches AND 0.061 inches x 8 = 0.488 (8 Penny)
-<u>FINAL ANSWER-</u>
610 + 305 + 6.1 + 3.66 + 0.488 = 925.248 Penny it would take.