The probability of selecting two orange marbles with replacement is 36/169.
Data;
- Orange= 6
- Red = 2
- Green = 4
<h3>Probability with replacement</h3>
Since after each draw, the orange marble is replaced.
The total number of marbles in the bag is
6+3+4 = 13
And the number of orange marbles is 6.
For the first selection, the probability of selecting one orange is
After drawn and replaced, the probability of selecting another marble is
And the probability of selecting two orange marbles with replacement is
The probability of selecting two orange marbles with replacement is 36/169.
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Answer:
The solutions for both system of equations are as follows:
- (5,2)
- (2,-1)
Step-by-step explanation:
The first set of equations is:
It can clearly be seen that the coefficients of y are already same in magnitude with different signs so we have to add both equations
So adding both equations, we get
Putting x=5 in equation 1
The solution is (5,2)
The second set of simultaneous equations is:
We can see that the coefficients of x in both equations are same in magnitude with opposite signs so
Adding both equations
Putting y= -1 in first equation
The solution is: (2,-1)
Hence,
The solutions for both system of equations are as follows:
- (5,2)
- (2,-1)
Answer: look at the picture
Step-by-step explanation:
Answer:
x = 3
Step-by-step explanation:
3(x + 2) = 6(x - 1) + 3
Divide both sides by 3.
x + 2 = 2(x - 1) + 1
Distribute the 2 on the right side.
x + 2 = 2x - 2 + 1
Combine like terms on the right side.
x + 2 = 2x - 1
Add 1 to both sides. Subtract x from both sides.
3 = x
x = 3
