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Anna11 [10]
2 years ago
13

A box contains two defective Christmas tree lights that have been inadvertently mixed with eight nondefective lights. If the lig

hts are selected one at a time without replacement and tested until both defective lights are found, what is the probability that both defective lights will be found after exactly three trials? (Round your answer to four decimal places.)
Mathematics
1 answer:
REY [17]2 years ago
6 0
Possibility 1: nondefective-defective-defective
possibility 2: defective-nondefective-defective

possibility 1: 8/10x 2/9 x 1/8 = 16/720=1/45
possibility 2: 2/10 x 8/9 x 1/8= 16/720=1/45

answer: 2/45
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Consider the initial value problem y′+4y=48t,y(0)=9. y′+4y=48t,y(0)=9. Take the Laplace transform of both sides of the given dif
Nadusha1986 [10]

Answer:

sY(s)-y(0) +4Y(s) = 48 *\frac{1}{s^2}

Step-by-step explanation:

given is the Differential equation in I order linear as

y′+4y=48t,y(0)=9.

Take Laplace on both sides

L(y') +4L(y) = 48L(t)\\sY(s)-y(0) +4Y(s) = 48 *\frac{1}{s^2} \\Y(s) [s+4]=\frac{48}{s^2}+9\\Y(s) = \frac{1}{s^2(s+4)}+\frac{9}{s+4}

Now if we take inverse we get y(t) the solution

Thus the algebraic equation would besY(s)-y(0) +4Y(s) = 48 *\frac{1}{s^2}

8 0
1 year ago
The measure of ADB is 162 . what is the measure of EAB?
Xelga [282]
An angle formed by a chord and a tangent line is half the measure of the intercepted arc.

 The intercepted arc is ADB, which is given as 162 degrees.

Angle EAB = 1/2 of 162

The answer is 81 degrees.

6 0
2 years ago
Read 2 more answers
Bob spent $64 for two shirts, including tax. The difference between the costs of the shirts was $16. Write two equations that yo
djyliett [7]

x+y=64 and x-y=16 can be used to solve the system.

Step-by-step explanation:

Let,

x,y be the two shirts.

According to given statement;

Bob spent $64 on both shirts;

x+y=64    Eqn 1

The difference between the costs of the shirts was $16 means subtraction;

x-y=16      Eqn 2

x+y=64 and x-y=16 can be used to solve the system.

Keywords: linear equation, addition

Learn more about linear equations at:

  • brainly.com/question/902892
  • brainly.com/question/909731

#LearnwithBrainly

5 0
1 year ago
Read 2 more answers
Emily collected $950 selling Girl Scout cookies all day Saturday. Emily's troop collected 10 times as much as she did. How much
LuckyWell [14K]
Since the troop made 10 times her then you multiply 950 by 10 and that will give you 9510
6 0
2 years ago
Read 2 more answers
a teapot is 1/3 full of tea. When all of the tea is poured into an empty container, the container is 2/3 full. what fraction of
motikmotik
(1/3)t = (2/3)c, where "t" is for teapot and "c" is for the container.
Multiply both sides by (3/2) in order to get 1 on the right-hand side.
(3/2)(1/3)t = (3/2)(2/3)C
simplify the equation to get the answer which is:
(1/2) teacup = 1 full container.
Hope this helps :)
4 0
1 year ago
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