D ( AC ) = 6 ( because A and C have the same y-coordinate )
d ( AB ) = √[(x2 - x1)² + (y2 - y1)²],
where A ( x1, y1 ) = ( -3, 1 ) and B ( x2, y2 ) = ( -1, 3 )
d ( AB ) = √[(-1 -(-3))² + (3 - 1 )²] = √[(-2)² + 2²] = √8 = 2√2
d ( BC ) = √[(3-(-1))² + (1-3)² =√[4² + (-2)²]= √20 = 2√5
The perimeter of ΔABC:
6 + 2√2 + 2√5 = 6 + 2 · 1.41 + 2 · 2.24 =
= 6 + 2.82 + 4.48 = 13.30
Answer:
Jason Inherit a land with a 45% chance of having oil.
Step-by-step explanation:
The probability of the land having oil is = P
(
O)
=
45
/100
The probability of the land having oil is= Q(O
)
=55/100
The machine has an accuracy of 80%. This suggests that 8 out of 10 times the machine will give a wrong reading.
The probability of the correct reading is= P(M)=80/100
The probability of the incorrect reading is=Q(M)=20/100
The case when the machine predicts there is no oil and there is indeed oil can be calculated:Probability=Probability of oil present × probability of the incorrect reading
Probability=P(O) x Q(M)
Probability=45/100 x 20/100
Probability=9/100
The probability of the test predicting no oil in land and the land has oil is 0.09 or 9%
Add those equations together
<span>1. 4x = 16, x = 4
2. Multiple the second one by 2
2x+4y=22
4x-4y=-16
6x = 6, x = 1
3. Add them together
8x = 24, x = 3
</span>
Taylor series is 
To find the Taylor series for f(x) = ln(x) centering at 9, we need to observe the pattern for the first four derivatives of f(x). From there, we can create a general equation for f(n). Starting with f(x), we have
f(x) = ln(x)
.
.
.
Since we need to have it centered at 9, we must take the value of f(9), and so on.
f(9) = ln(9)
.
.
.
Following the pattern, we can see that for 
,
This applies for n ≥ 1, Expressing f(x) in summation, we have
Combining ln2 with the rest of series, we have
Taylor series is
Find out more information about taylor series here
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