Can someone help me with elementary statistics
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That's a copy of the figure from the other post; I didn't look at the answer.
We have Start(0,0)
Your team takes the direct path at a constant speed of 6 miles per hour.
<span>Our team.
</span><span>Team Red follows the riddle and travels at 8 mph from Start to Post A, 9 mph from Post A to Post B, and 11 mph from Post B to Finish.
Team Blue follows the riddle and travels at a constant speed of 10 mph.
</span>
<span>
Team Yellow follows the riddle and travels at a constant speed of 11 mph, but stops at Post A for 30 minutes and stops again at Post B for another 30 minutes.
</span>
Winner: our team, then Blue, then Red, then Yellow
<span>
</span>
We have Start(0,0)
Your team takes the direct path at a constant speed of 6 miles per hour.
<span>Our team.
</span><span>Team Red follows the riddle and travels at 8 mph from Start to Post A, 9 mph from Post A to Post B, and 11 mph from Post B to Finish.
Team Blue follows the riddle and travels at a constant speed of 10 mph.
</span>
<span>
Team Yellow follows the riddle and travels at a constant speed of 11 mph, but stops at Post A for 30 minutes and stops again at Post B for another 30 minutes.
</span>
Winner: our team, then Blue, then Red, then Yellow
<span>
</span>
We need to find the base x in the following equation:
First, lets convert 365 from base 7 to base 10. This is given by
where the upperindex denotes the position of eah number. This gives
that is, 365 based 7 is equal to 194 bases 10.
Now, lets do the same for 43 based x. Lets convert 43 based x to base 10:
where again, the superindex 0 and 1 denote the position 0 and 1 in the number 43. This gives
Now, we have all number in base 10. Then, our first equation can be written in base 10 as
For simplicity, we can omit the 10 and get
so, we can solve this equation for x. By combining similar terms. we have
and by moving 197 to the right hand side, we obtain
Finally, we get
Therefore, the solution is x=5