Given that In Playball, the player picks a single letter from A to Tand a single digit from 0 to 9. If both the letter and the digit match the letter and the
digit picked on that day, the player wins $280, changed to 250.
Game cost = 1 dollar
There are 20 alphabets and 9 digits
No of ways to select at random =
No of ways to win = 1
So probability to win =
Since he has to pay 1 dollar whether he wins or not
PDF of X amount net won or net value would be
X -1 249 Total
p 1
xp -
Expected value = 0.38889
13×10=130
13-10=3
13 and 10 is the answer
6m3 - 16m2 + 15m - 40<span> Simplify —————————————————————
2m2 + 5
</span>Checking for a perfect cube :
<span> 4.1 </span> <span> 6m3 - 16m2 + 15m - 40</span> is not a perfect cube
Trying to factor by pulling out :
<span> 4.2 </span> Factoring: <span> 6m3 - 16m2 + 15m - 40</span>
Thoughtfully split the expression at hand into groups, each group having two terms :
Group 1: 15m - 40
Group 2: <span> -16m2 + 6m3</span>
Pull out from each group separately :
Group 1: (3m - 8) • (5)
Group 2: <span> (3m - 8) • (2m2)</span>
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Add up the two groups :
<span> (3m - 8) • </span><span> (2m2 + 5)</span>
<span>Which is the desired factorization</span>
<span>3m-8 is the answer</span>
-1/35 because you multiply the 2 denominators and numerators together. -1 times 1 is -1, 7 times 5 is 35. Make that as a fraction to get -1/35.
