Answer:
Step-by-step explanation:
Total number of antenna is 15
Defective antenna is 3
The functional antenna is 15-3=12.
Now, if no two defectives are to be consecutive, then the spaces between the functional antennas must each contain at most one defective antenna.
So,
We line up the 13 good ones, and see where the bad one will fits in
__G __ G __ G __ G __ G __G __ G __ G __ G __ G __ G __ G __G __
Each of the places where there's a line is an available spot for one (and no more than one!) bad antenna.
Then,
There are 14 spot available for the defective and there are 3 defective, so the arrange will be combinational arrangement
ⁿCr= n!/(n-r)!r!
The number of arrangement is
14C3=14!/(14-3)!3!
14C3=14×13×12×11!/11!×3×2
14C3=14×13×12/6
14C3=364ways
What is the median of the data? 68,69,71,71,71,73,74,75,75,78 answers: 71,72,78,72.5
Klio2033 [76]
The answer is 72 because ur supposed to do (71+73)/2
Answer:
infinite number of solutions
Step-by-step explanation:
Work with the second equation. Subtract 8x from both sides.
- 4y + 8x - 8x = -8x - 12 Collect like terms.
-4y = - 8x - 12 Divide by - 4
-4y/-4 = - 8x/-4 - 12/-4
y = 2x + 3
That is exactly the same line as the first given. There is an infinite number of solutions.
9514 1404 393
Answer:
a) P(t) = 6.29e^(0.0241t)
b) P(6) ≈ 7.3 million
c) 10 years
d) 28.8 years
Step-by-step explanation:
a) You have written the equation.
P(t) = 6.29·e^(0.0241·t)
__
b) 2018 is 6 years after 2012.
P(6) = 6.29·e^(0.0241·6) ≈ 7.2686 ≈ 7.3 . . . million
__
c) We want t for ...
8 = 6.29·e^(0.0241t)
ln(8/6.29) = 0.0241t
t = ln(8/6.29)/0.0241 ≈ 9.978 ≈ 10.0 . . . years
__
d) Along the same lines as the calculation in part (c), doubling time is ...
t = ln(2)/0.0241 ≈ 28.7613 ≈ 28.8 . . . years
The cost of a utility pole with a diameter of 1.5 ft and a height of 40 ft is $782.1
<h3>How to calculate the cost of a utility pole with a diameter of 1.5 ft and a height of 40 ft?</h3>
The given parameters are:
Cost per cubic foot = $11.07 per cubic foot
Height = 40 feet
Diameter = 1.5 feet
Shape = Cylinder
The volume of the cylinder is calculated as:
V = πr^2h
Where
r = Diameter/2
So, we have
r = 1.5/2
Evaluate
r = 0.75
The volume of the cylinder becomes
V = 3.14 * 0.75^2 * 40
Evaluate
V = 70.65
The cost per cubic foot is $11.07 per cubic foot.
So, the cost of a utility pole is
Cost = $11.07 * 70.65
Evaluate
Cost = $782.1
Hence, the cost of a utility pole with a diameter of 1.5 ft and a height of 40 ft is $782.1
Read more about volume at:
brainly.com/question/1972490
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