Mathematics, 22.08.2019 22:30 hilljade45

8) an urn contains balls numbered 1 through 9. a ball is drawn and replaced, and a second ball is drawn. a) describe the outcome "ball number 2
is drawn, then ball number 7 is drawn."
b) how many outcomes are in the sample space?
a) describe the outcome "ball number
2 is drawn, then ball number 7 is drawn."
b) how many outcomes are in the sample space?

Answers: 1

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Answer from: Rooster04

Answer and Explanation:

Given : An urn contains balls numbered 1 through 9. A ball is drawn and replaced, and a second ball is drawn.

To find : a) Describe the outcome "ball number 2 is drawn, then ball number 7 is drawn."

b) How many outcomes are in the sample space?

Solution :

a) An urn contains balls numbered 1 through 9 i.e. 1,2,3,4,5,6,7,8,9.

Total number of outcomes = 9

Favorable outcome of getting first ball number 2 is drawn is 1.

Probability of getting first ball number 2 is $\frac{1}{9}$

A ball is drawn and replaced, and a second ball is drawn.

Favorable outcome of getting second ball number 7 is drawn is 1.

Probability of getting second ball number 7 is $\frac{1}{9}$

So, Probability of ball number 2 is drawn, then ball number 7 is drawn is $\frac{1}{9}\times\frac{1}{9}=\frac{1}{81}$

This means When ball number 2 is drawn from 9 ball is 1/9 and as balls is replaced then ball number 7 is drawn from 9 balls is same as 1/9.

b) Number of outcomes in the sample space is {1,2,3,4,5,6,7,8,9}.

Answer from: Quest

you are saying it as if a fact, not a question, but yes, you would be correct? ; )

step-by-step explanation:

Answer from: Quest

(0,-3) see attached graph

step-by-step explanation:

a. to solve the system, graph the two equations.

x = y+3 becomes y=x-3 has m=1/1 and b=-3. start at (0,-3) on the y-axis and plot a point. then move up 1 unit and 1 unit to the right. plot a point and connect.

y=-4x+3 has m =-4/1 and b=-3. start at (0,-3) on the y-axis and plot a point. then move down four units and to the right 1 unit. plot a point and connect.

the solution is the point (x,y) where the two lines intersect. by the graph below it is (0,-3).

b. to solve by substitution, substitute y = -4x-3 into x= y+3

x= (-4x-3) +3

x=-4x

5x=0

x=0

now substitute x = 0 back in to find y.

y= -4(0)-3

y=0-3

y=-3

solution is (0,-3)

c. use elimination by adding the equations together.

x-y=3

4x+y=-3

5x=0

x=0

then substitute into one equation to find y.

y=-4(0)-3

y=-3

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8) an urn contains balls numbered 1 through 9. a ball is drawn and replaced, and a second ball is dr...