The linearization at f(a) is
.. l(x) ≈ f(a) +f'(a)*(x -a)
Then
.. l(a) = f(a)
f(2) = l(2) = 12*2 +4
f(2) = 28
√18 ÷ √12 = 1.22474487139159
Speed of boat in still water ---- x km/h
speed of current ------ y km/h
distance with the current = 4(x+y)
distance against the current = 5(x-y)
we know that 3.5(x+y) = 70
x+y = 20
but 4(x+y) = 4(20) = 80
then 5(x-y) = 80
x-y = 16
x+y=20
x-y=16
add them
2x = 36
x = 18 , then y = 2
Answer:
the answer is 12
Step-by-step explanation:
you basically have to divide 8 by 2/3 then you would get 12
- 8/1 / 2/3
- kcf
- 8/1 x 3/2= 24/2
- 24 divided by 2 = 12
These are the events in the question above:
<span>D - has disease
</span>
<span>H - healthy (does not have disease)
</span>
<span>P - tests positive </span>
<span>It is the probability that a person has the disease AND tests positive divided by the probability that the person tests positive.
</span>
Sick, + [.04*.91] = .0364
<span>Sick, - [.04*.09] = .0036 </span>
Healthy, + [.96*.04] = 0.0384
<span>Healthy, - [.96*.96] = .9216
</span>
.0364 / (.0364 + .0.0384) = 0.487
