Answer:
x = 2
Step-by-step explanation:
<u>Step 1: Set 3x - 2 equal to 5x - 6 to get x</u>
3x - 2 = 5x - 6
<u>Step 2: Solve for x</u>
3x - 2 + 6 - 3x = 5x - 6 + 6 - 3x
4 / 2 = 2x / 2
2 = x
Answer: x = 2
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:
Exact Form:
3285
8
Decimal Form:
410.625
Mixed Number Form:
410
5
8
thats what i got i hope this helps
Step-by-step explanation:
Answer:
p = 8000 + 2(6000)
20000
Step-by-step explanation:
Given that:
Profit in 1988 = 6000
Profit in 2003 = 8000 more Than double the profit made in 1998
Hence profit in 2003 (p) can be expressed as :
p = 8000 + 2(6000)
Hence profit in 2003
p = 8000 + 12000
p = 20,000