Answer:
18
Step-by-step explanation:
Here,
given,
a=3 and b=6
Then
4a+b=?
Put respective values on 4a+b
4*3+6
=12+6
=18
Answer:
Step-by-step explanation:
<u>Slope intercept form:</u>
<u>Use two points from the graph:</u>
<u>The first point is the y-intercept: </u>
<u>Find the slope using the slope formula:</u>
- m = (y2 - y1)/(x2 - x1)
- m = (-9 - (-8))/3 = -1/3
<u>The equation is:</u>
Answer:
1
Step-by-step explanation:
None of these numbers are alike terms so the only number left is 1.
Answer:
The answer is that r = 7/6
Step-by-step explanation:
Given point: (7, 5)
Given slope: m = 6
Use the point slope form of the equation:
y - y1 = m(x - x1)
y - 5 = 6(x - 7)
y - 5 = 6x - 7
y = 6x + 2
Now, find r for the point (r, 9) by substitution:
9 = 6x + 2
6x + 2 = 9
6x = 7
x = 7/6
Proof:
y = 6x + 2
f(x) = 6x + 2
f(7/6) = 6(7/6) + 2
= 42/6 + 2
= 7 + 2 = 9, giving (7/6, 9). r = 7/6
Hope this helps! Have a great day!
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
