<h2>
Answer:</h2>
The probability of A and B is:
<h2>
Step-by-step explanation:</h2>
We know that when two events: Event A and event B are independent then if P denote the probability of an event then Probability A and B is equal to the product of probability of the individual events.
i.e.
Here we have:
P(A) = 0.80 and P(B) = 0.10
Hence,
Ok
2x + y - z = 7
-2y +3z = -15
x + 2y - 5z = 17
combine 2nd 3rd
x - 2z = 2
x = 2z + 2
double first statement
4x + 2y - 2z = 14
combine with second statement
4x + z = -1
substitute 2z + 2 for x
8z + 8 + z = -1
combine like terms
9z + 8 = -1
sub 8 from both sides
9z = -9
divide both sides by 9
z = -1
substitute -1 for z in second statement
-2y - 3 = -15
add 3 to both sides
-2y = -12
divide both sides by -2
y = 6
substitute -1 for z into the fifth statement
x = -2 + 2
x = 0
Solve:
(3x-2)^2-4x(2x-3)>=0
(3x-2)(3x-2)-8x^2+12x>=0
9x^2-12x+4-8x^2+12x>=0
The solution: x^2+4>=0
I hope I helped you with your solution! If you could give me brainliest, I would be very thankful!
Answer:
x = 3.5
perimeter of each figure = 54
Step-by-step explanation:
Perimeter of square: 4(3x + 3) 12x + 12
Perimeter of equilateral triangle: 3(5x + 0.5) = 15x + 1.5
Solve for x: 12x + 12 = 15x + 1.5
Grouping like terms results in 10.5 = 3x, which leads to x = 3.5.
Each polygon has a perimeter of 12x + 12, which here is 12(3.5) + 12 = 54
x = 3.5
perimeter of each figure = 54
Answer:
10x +10 = 0
10x = -10
x = -1
Step-by-step explanation: