We're looking for a solution of the form
. By the chain rule, this solution should have total differential

and the equation is exact if the mixed second-order partial derivatives of
are equal, i.e.
.
The given ODE is exact, since


Then




With
, we get


Answer:
0.0244 (2.44%)
Step-by-step explanation:
defining the event T= the chips passes the tests , then
P(T)= probability that the chip is not defective * probability that it passes the test given that is not defective + probability that the chip is defective * probability that it passes the test given that is defective = 0.80 * 1 + 0.20 * 0.10 = 0.82
for conditional probability we can use the theorem of Bayes. If we define the event D=the chip was defective , then
P(D/T)=P(D∩T)/P(T) = 0.20 * 0.10/0.82= 0.0244 (2.44%)
where
P(D∩T)=probability that the chip is defective and passes the test
P(D/T)=probability that the chip is defective given that it passes the test
Answer: I think it's A. 3x + 26 but im not completely sure
Step-by-step explanation:
Answer:
75 ft^2
Step-by-step explanation:
Area of trapezoid = 1/2({b1+b}*h)
1/2(25x6) =
150 / 2 =75
If my answer is incorrect, pls correct me!
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-Chetan K
(y - 5)/3 = 1
y - 5 = 3 x 1 = 3
y = 3 + 5 = 8
6x + 29 = 5
6x = 5 - 29 = -24
x = -24/6 = -4