We are given with two equations to find the values of two variables, hence the problem can be solved.
Adding the two equations:
x + y = 12<u>x - y = 10
</u>2x = 22
<u />x =11
y = 1
Answer:
Given: 
......[1]
To prove : x =78
Subtraction property states that you subtract the same number to both sides of an equation.
Subtract 2 from both sides of an equation [1];
Simplify:
......[2]
Multiplication property states that you multiply the same number to both sides of an equation.
Multiply 6 to both sides of an equation [2];
Simplify:
proved!
Statement Reason
1. Given
2. Subtraction property of equality
3. Multiplication property of equality
The answer would be 15 but i am not sure what the problem says her answer is. if it is not 15 then her answer is wrong
Answer:
The probability of the chosen ball being shiny conditional on it being red is; 0.375
Step-by-step explanation:
Let A be the event that a red ball has been chosen
Let B be the event that a shiny ball has been chosen
Let S be the total outcomes = 150 balls
Thus;
P(A ∩ B ) = 36/150
A ∩ B' = 150 - 36 - 54
A ∩ B' = 60
Thus; P(A ∩ B') = 60/150
P(A') = 54/150
P(A) = (150 - 54)/150 = 96/150
Thus, probability of the chosen ball being shiny conditional on it being red is;
P(B | A) = P(B ∩ A)/P(A)
Thus; P(B | A) = (36/150)/(96/150)
P(B | A) = 0.375
