Remember that an extraneous solution of an equation is a solution that emerges from the algebraic process of solving the equation but is not a valid solution of the equation.

First, we are going to solve our equation algebraically:

Step 1 simplify the equation:

$\sqrt{x} +9-4=1$

$\sqrt{x}+ 5=1$

Step 2 subtract 5 from both sides of the equation:

$\sqrt{x} +5-5=1-5$

$\sqrt{x} =-4$

Step 3 square both sides of the equation:

$\sqrt{x} ^2=(-4)^2$

$x=16$

Next, we are going to replace our solution in our original equation and check if it is a valid solution:

$\sqrt{x} +9-4=1$

$\sqrt{16} +5=1$

$4+5=1$

$9\neq 1$

Since 9 is not equal to 1, $x=16$ is not valid solution of the equation; therefor it is an extraneous solution.

We can conclude that the correct answer is: x = 16, solution is extraneous

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An oil exploration company currently has two active projects, one in Asia and the other in Europe. Let A be the event that the A

Ksivusya [100]

Answer:

0.7 ; 0.65 ; 0.115

Step-by-step explanation:

P(A) = 0.5 ; P(B) = 0.3

P(not successful) = P(B') = 1 - 0.3 = 0.7 ; P(A') = 1 - 0.5 = 0.5

1.)

Both events are independent events, hence the outcome of one does not depend on the other. That is the failure of the Asian project has nothing to do with the European project.

Probability that European project isn't successful;

P(B') = 1 - P(B) = 1 - 0.3 = 0.7

2.)

Probability that atleast one of the 2 projects is successful :

P(AUB) = P(A) + P(B) - P(AnB)

P(AnB) = P(A) * P(B) = 0.5 * 0.3 = 0.15

P(AUB) = 0.5 + 0.3 - 0.15 = 0.65

3.)

Probability that only the Asian project is successful, given that atleast one of the two projects is successful :

[P(A) - P(AnB)] ÷ P(AuB)

[0.5 * 0.15] ÷ 0.65

= 0.075 ÷ 0.65