This is a problem dealing with permutations and combinations.
Order does not matter in this problem.
Since order doesn't matter, it is a combination.
Repetition matters, since you can't have the same person count as two people.
There are twelve slots.
_ _ _ _ _ _ _ _ _ _ _ _
Each slot needs to be multiplied by the next.
_*_*_*_*_*_*_*_*_*_*_*_
Now we have to fill in the slots.
Each slot will be filled with a number one less than the one before it. It has to be one less, since repetition matters.
The numbers will be decreasing from 30, since there are 30 possible people.
30 * 29 * 28 * 27 * 26 * 25 * 24 * 23 * 22 * 21 * 20 * 19
Multiply these numbers together and you get your answer.
41,430,393,164,160,000 ways
Answer:
At 0.77 mi/min, Matt travels faster than Jennifer, who averages
only 0.67 mi/min.
Step-by-step explanation:
Average speed = distance/time
<em>For Samantha,
</em>
Average speed = 10/15
Average speed = 0.67 mi/min
<em>For Matt,
</em>
Average speed = 23/30
Average speed = 0.77 mi/min
you turn 1 and 1 over 5 into 6 over 5. then divide.
12 divided by 6 over 5 equals 10
Answer:
= 0.714 (in decimal fraction)
The probability that the death in 2014 was not caused by heart diseases or Unintentional Injuries = 0.714
= 0.714
Step-by-step explanation:
Let's interpret the question our way ti solve it .
Total deaths in 2014:
2626418
Death caused by Heart Diseases:
614348
Death caused by Unintentional Injuries:
750401
Therefore, we can deduced that, the number of death not caused by Heart Diseases or Unintentional Injuries = Total deaths in 2014 minus sum of the recorded death.
= 2626418 - ( 614348 + 136053)
= 2626418 - 750401
= 1876017.
Now, the probability that there were death in 2014 is 1 (one)
To find the probability that death we're not caused by heart diseases or Unintentional Injuries:
= 1 - Pr (Death Caused by heart diseases) + Pr (Death causes by Unintentional Injuries)
= 1 - (0.234 + 0.052)
= 1 - 0.286
= 0.714
To Check:
= 1876017 / 2626418
Divide to the lowest term
=0.714
Answer:
34 games
Step-by-step explanation:
let the number of losses be 
let the number of victories be 
<u>the Phoenix murmur had 12 more victories than losses:</u>
<u>The number of victories they had was one more than two times the number of losses:</u>
<em>We have 2 expressions for , equating these 2, we can solve for :</em>
So 11 games, they lost.
Using this value, we can plug into the 1st equation to solve for v:
So 23 games, they won.
Given that no draws, they played a total of 23 + 11 = 34 games this season
