Answer:
#1 = 1/52 #2 = 4/52 #3 = 2/52 #4 = 13/52
Step-by-step explanation:
I am not positive if the experimental probability questions are correct, since it has been a while since I've done this, but the theoretical questions should be right. This is because there are 4 kings in every deck and there is replacement. Also, there are 13 hearts in each deck and there is replacement.
There are 4 choices of meats from which you take 3, so there are
4! / (3! (4 - 3)!) = 4! / (3! 1!) = 4!/3! = 4
possible choices of 3-meat combos.
The correct answer is:
The numbers are 14 and 16.
Explanation:
Let x and y represent the numbers. Since the sum of the numbers is 30, this gives us the equation
x+y = 30.
Since the difference of the numbers is 2, this gives us the equation
x-y = 2.
This gives us the system
To solve this, we will eliminate one variable. Since the coefficients are all the same, but the y-variables have different signs, we will eliminate them by adding the equations together:
Divide both sides by 2:
2x/2 = 32/2
x = 16.
Substitute this back into our first equation:
16+y=30
Subtract 16 from each side:
16+y-16=30-16
y=14