Hello
x - 7
for x = 23 = 23 - 7 = 16
3 a - b = 12 - 6 = 6
8/t = 8/4 = 2
9 + m = 9 + 1.5 = 10.5
1/2 w + 2 = 1/2 x 1/9 + 2 = 1/18 + 2 = 1/18 + 36/18 = 37/18
5 ( 6.2 + z ) = 50
4
One in 1200 are not particularly good odds. On the other hand, winning the lotto is 1 chance in 13,000,000 which if you've ever played the lotto you know that those odds are good enough to insure that if you played for the rest of your life and you are 18 not expect to live to 80 and you have 104 [given 2 draw a week] chances of winning per year, it likely won't happen. One in 1200 is better but still not good, especially with only 1 draw.
3
As a fraction her probability of winning is 1/2000 which is 0.000833333 as a decimal. You can put that in as
1
÷
1200
=
if you are not sure how your calculator works.
2
Sample Space = {1,2,3,4 .... 1198,1199,1200}
The outcome depends on sophies number. Either 1 number can be chosen or all of them can.
1
The sample space is the integers from 1 to 1200 inclusive.
This problem can be solved by the chicken rabbits method or you can just do simple algebra.
I.) Chicken and rabbits method
First assume all 110 coins are dimes and none are quarters.
We will have a total value of 11 dollars
Now for each dime we switch out for a quarter, we adds 15 cents to the total value.
18.50-11=7.50 dollars
There are 750/15=50 group of 15 cents in the 7 dollars and 50 cents.
This also meant that we need to switch out 50 dimes for 50 quarters.
So we have 50 quarters.
That first method is very good and very quick once you get the hang of it, now I'm going to show you the algebraic way to solve this.
Let's say there are x dimes and y quarters.
Set up equation
x+y=110
10x+25y=1850
Now solve multiply first equation by 10
10x+10y=1100
subtract
15y=750
y=50
Now we set the numbers of quarters to y so the answer is 50 quarters.
I personally recommend using algebra whenever you can because the practice is very important and you will eventually get really fast at setting up and solving equations. The first method is faster in this case but the second is more generalize, hope it helps.
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