Answer:
1/6
Step-by-step explanation:
Convert 17 feet to inches. 17×12 = 204
204 inches to 34 inches.
204/34 = 6
Remember we are scaling down
204× 1/6 = 34
Answer to the problem is 24 but <span>SIMPLIFYING </span>RADICALS<span>. WE SAY THAT A SQUARE ROOT </span>RADICAL<span> is simplified, or in its </span>simplest form<span>, when the radicand has no square factors. A </span>radical<span> is also in </span>simplest form<span> when the radicand is not a fraction. Example 1.</span>
A.
In the first generation we have 2 ancestors.
In the second generation we have 4 ancestors or

ancestors.
In the third generation we have 8 ancestors ot

ancestors.
We can see that each succesive generation has two times more members. The sum is:

To calculate number of ancestors we can use formula <span>for the sum of a geometric sequence. Geometric sequence is sequence of numbers that differ by a certain factor. This factor is called ratio. Formula is:
</span>

<span>Where:
S -> sum
a1 -> first member of a sequence
r -> ratio
n -> number of elements
For this question:
a1 = 2
r = 2
n = 40
</span>

<span>
b.
1 generation = 25 years
40 generations = 40 * 25 = 1000 years
c.
Total number of people who have ever lived = </span>

Number of ancestors in 40 generations =

The number of ancestors is greater than total number of people who have ever lived. This means that not all ancestors were distinct and that in each generation both men and women had children with more than one partner.
Answer:
The probability is 9/266
Step-by-step explanation:
The first thing to do here is get the total number of marbles = 5 + 7 + 9 = 21 marbles
Now we are drawing the marbles without replacement, this means once a marble is drawn there is a decrease in the total number of marbles left.
The probability of drawing a green marble initially = number of green marbles/ total
number of marbles = 9/21 = 3/7
Now, we want to draw a blue marble
There are 5 blue marbles and we have already drawn one marble from the total. So the probability of drawing a blue marble would be 5/20 = 1/4
And lastly, another green marble
That would make 6 green marbles left and a total of just 19 left. So the probability at this point for green marbles = 6/19
Having and in probability means we multiply all
So this means the probability we are calculating is; 3/7 * 1/4 * 6/19 = 18/(28 * 19) = 9/(14 * 19) = 9/266