.444444 divided by 3/8 = 0.01666666666
Answer:
$170
Step-by-step explanation:
15 percent of 200 is 30 and 30 minus 200 would be 170
Answer:
Step-by-step explanation:
There is a 1/12 probability that volume 1 will be correctly put in position 1.
If we assume that volume 1 is right, then since there are then only 11 books left to choose from, there is then a 1/11 prob that volume 2 will be in position 2. And so on. By the same reasoning there is 1/10 prob that volume 3 is then right, 1/9 prob for volume 4, 1/8 prob for volume 5, and 1/7 prob for volume 6,
and 1/6 prob for volume 7,and 1/5 prob for volume 8,and 1/4 prob for volume 9,and 1/3 prob for volume 10,and 1/2 prob for volume 11,and 1/1 prob for volume 12.
So the probability is 1 /(12*11*10*9*8*7*6*5*4*3*2*1) = 1 / 479,001,600 ....
5/12 is less than 1/2 because 6/12 = 1/2
Therefore, there are not enough 1/12 pieces to equal or exceed 1/2.
Answer:
54y² +255y +300
Step-by-step explanation:
Such an expression is simplified by eliminating parentheses and combining like terms.
<h3>Eliminate parentheses</h3>
Taking the given expression at face value, we have ...
{2(3y+6)-3(-4-y)}2(3y+6)−3(−4−y)
= {6y +12 +12 +3y}(6y +12) +12 +3y
= (9y +24)(6y +12) +12 +3y
= (9y)(6y +12) +24(6y +12) +12 +3y
= 54y² +108y +144y +288 +12 +3y
<h3>Combine like terms</h3>
= 54y² +(108 +144 +3)y +(288 +12)
= 54y² +255y +300
