For the given situation we have a total of 259,459,200 permutations.
<h3>
How many permutations are?</h3>
First, how we know that it is a permutation?
Because the order matters, we aren't only selecting 8 out of the 15 people, but these 8 selected also have an order (is not the same thing to finish the race first than fourth, for example).
Then we need to find the number of permutations, to do it, we need to find the numbers of options for each of the 8 positions.
- For the first position there are 15 options.
- For the second position ther are 14 options (one runner already finished).
- For the third position there are 13 options.
- And so on.
Then the total number of permutations (product between the numbers of options) is:
P = 15*14*13*12*11*10*9*8 = 259,459,200
If you want to learn more about permutations:
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9514 1404 393
Answer:
d = 290 -3x
Step-by-step explanation:
For each x feet that Armondo travels toward Bianca, Bianca travels 2x feet toward Armondo. The net effect is that the distance between them decreases by x+2x = 3x feet. The distance starts at 290 feet when x=0, so the distance can be described by ...
d = 290 -3x
Answer:
A. is Inverse correlation and B. is More money
Step-by-step explanation:
A. the relationship is inverse, which means that the more weeks had past, the less he spent
B. Since he is spending less money each week and he earns the same amount, this means that he is saving more money
The given triangle has a right angle.
We use the mnemonics SOH-CAH-TOA.
1i) 
,
,
ii) 
,
,
,
,
2. We want to find the hypotenuse.
We know an angle to be 23 degrees.
We were also given the side opposite to this angle to be 1200km.
Therefore we use the sine ratio.
