Answer:
what are the questions. for this
Answer:
Step-by-step explanation:
(1,1) (2,-2)
Y2 = -2 , y1 = 1 , x2 = 2 , x1 = 1
Slope m = (y2 - y1)/(x2 - x1)
m = (-2 - 1)/(2 - 1)
m = -3/1
m = -3
And the equation of line
y - y1 = m(x - x1)
y - 1 = -3(x - 1)
y - 1 = -3x + 3
y = -3x + 3 + 1
y = -3x + 4
Answer: the third option is the correct answer.
Step-by-step explanation:
The given quadratic equation is expressed as
x² - 10x + 24 = 0
We would apply the method of factorization by finding two numbers such that their sum or difference is -10x and their product is 24x^2. The two numbers are - 6x and - 4x. Therefore,
x² - 6x - 4x + 24 = 0
x(x - 6) - 4(x - 6) = 0
(x - 6)(x - 4) = 0
Therefore, the solutions to the equation are
x = 4 or x = 6
4x - 8 = 3x + 12
x - 8 = 12
x= 20
Total marbles in the bag = 15
Red marbles in the bag = 5
Probability of picking a red marble the first time = 5/15 .
If you put it back, then everything goes back to the beginning.
Probability of picking a red marble the second time = 5/15 .
If you put it back, then everything goes back to the beginning.
Probability of picking a red marble the third time = 5/15 .
If you put it back, then everything goes back to the beginning.
Probability of picking a red marble the fourth time = 5/15 .
If you put it back, then everything goes back to the beginning.
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Probability of picking a red marble the 20th time = 5/15 .
If you put it back, then everything goes back to the beginning.
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Probability of picking a red marble the ' Nth ' time = 5/15 .
If you put it back, then everything goes back to the beginning.
Probability of picking a red marble ' N ' times in a row = (5/15)^N.
Probability of picking a red marble 3 times in a row = (5/15) (5/15) (5/15).
Probability of picking a red marble 2 times in a row = (5/15) x (5/15)
= (25/225) = 1/9
= 11.1% (rounded).