Part A:5=2x^2-x^2+13
5=x^2+13
0=x^2+13-5
0=x^2+8
Part B:5=2x^3-x^3+13
5=x^3+13
0=x^3+13-5
0=x^3+8
We know that
<span>the probability of the Galaxy team winning is 22%------> 0.22
</span>the probability of the Galaxy team losing is 100%-22%----> 78%-----> 0.78
<span>the probability of the Komets team winning is 47%------> 0.47
</span>the probability of the Komets team losing is 100%-47%----> 53%-----> 0.53
therefore
<span>the probability of the comets losing their race and the galaxy winning theirs is
0.53*0.22=0.1166------> 11.66%
the answer is
11.66%</span>
His shadow will most likely be 7 feet long
For a problem like this, it is best to convert all numbers to a similar form making them easier to compare. I am going to convert them all to decimals, although converting them all to fractions can also work.
-0.4 is already a decimal, so it needs no conversion; the same goes for 0.48.
4/8 is equal to 1/2, which equals 0.5 as a decimal. -4/8 is the same as -1/2, which is -0.5.
Therefore, we are left with the following converted numbers:
-0.4; 0.48; 0.5; -0.5
Now to simply order them from least to greatest, we will start with the two negative numbers because they are both below zero. When comparing negative numbers, the "bigger" one is actually smaller because it is farther below zero. Therefore, -0.5 is the smallest, followed by -0.4.
Now for the last two, 0.5, or 0.50, is 0.02 bigger than 0.48. Therefore, 0.48 is the second largest number and 0.5 is the largest.
This is the order now:
-0.5 (smallest)
-0.4 (2nd smallest)
0.48 (2nd largest)
0.5 (largest)
Now they simply need to be converted back to their original form (if applicable):
-0.5 = -4/8
-0.4 = -0.4
0.48 = 0.48
0.5 = 4/8
This leaves us with the answer:
-4/8; -0.4; 0.48; 4/8