This is a Bayes Theorem Problem
P(oil | negative test) P(negative test)= P(negative test | oil) P(oil)
P(oil | negative test) = P(negative test | oil) P(oil) / P(negative test)
P(oil | negative test) =P(negative test | oil) P(oil) / ( P(negative test | oil) P(oil) + P(negative test | no oil) P(no oil) )
We're given the prior probability of oil, P(oil)=.45, so P(no oil)=.55
We given P(negative test | no oil) = 0.80, so P(negative test | oil) = .20

Choice A
Suppose
is a solution to the ODE. Then
and
, and substituting these into the ODE gives

Then the particular solution to the ODE is

Juanita and Keenan ordered 85 flashlights and 17 sleeping bags.
Step-by-step explanation:
Given,
Cost of each flashlight = $12
Cost of each sleeping bag = $45
Total cost = $1785
Let,
x represent the number of flashlights ordered
y represent the number of sleeping bags ordered
According to given statement;
12x+45y=1785 Eqn 1
x = 5y Eqn 2
Putting value of x from Eqn 2 in Eqn 1

Dividing both sides by 105

Putting y=17 in Eqn 1

Juanita and Keenan ordered 85 flashlights and 17 sleeping bags.
Keywords: linear equation, substitution method
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