Answer:
Suppose the fraction of blue balls at any given state n is
. At the start of the process we have:
=1.
Now consider the situation after having drawn n times.
The current fraction of blue balls is
, the number of blue balls is therefore 10
.
We either draw a red ball, with probability 1−
. and the number of red balls, blue balls stay the same (we swap red for red):
(red)=
or we draw a blue ball, with probability
and we obtain 10
−1 blue balls on a total of 10 balls, thus:
(blue) = (10
− 1)/10
The total probability of (fraction of) blue balls after this n'th draw is therefore:
=
(red)(1−
)+
(blue)
which can be simplified to:
=0.9![f_{n}](https://tex.z-dn.net/?f=f_%7Bn%7D)
which leads to:
fn=0.9
At the end of the 10'th draw the fraction of blue balls is equal to:
=
≈ 0.348678
Answer:
87.96 meters to the nearest cm.
Step-by-step explanation:
First find the circumference of the wheel
= 2 π r
= 2 π * 28
= 175.929 cm.
So one revolution is equivalent to travelling 175.929 cm.
50 revolutions = 175.929 * 50
= 8796.46 cm.
= 8796.46 / 100
= 87.96 m (answer).
Asking someone else to start from scratch and explain everything when you yourself have not done or shared anything is a BIG and unrealistic order.
Could you not at least share your thoughts as you read through each of the four problems?
Let's take a look at the 2nd problem (#17):
"Three times the sum of two times m and 5 is 4 less than 8 times m to the 2nd power." You must be able to translate a word problem like this one into algebraic symbols.
3(2m+5) = 8m^2 -4 (This is the desired answer)
Then 6m + 15 = 8m^2 - 4 => 8m^2 - 6m - 4 - 15 = 0 (after rearrangement)
Then 8m^2 - 6m - 19 (you are not required to solve this)
Please choose another problem from your list and do and share all you can about your efforts to solve it.
Answer/Step-by-step explanation:
Given:
AC = 6x - 12
BC = 4
CD = 3x - 2
Required:
Determine length of AB and CD.
SOLUTION:
AC - BC = AB
(6x - 12) - 4 = AB (Substitution)
6x - 12 - 4 = AB
6x - 16 = AB
Since AB ≅ CD, therefore,
AB = CD
6x - 16 = 3x - 2 (Substitution)
Combine like terms
6x - 3x = 16 - 2
3x = 14
Divide both sides by 3
x = 4.7
Find AB
6x - 16 = AB
Plug in the value of x
6(4.7) - 16 = AB
28.2 - 16 = AB
12.2 = AB
Find CD
CD = 3x - 2
Plug in the value of x
CD = 3(4.7) - 2
CD = 14.1 - 2
CD = 12.1
Y - 2 = 3 ( x - 3 )
Using point-slope form