Answer:
133/152
Step-by-step explanation:
The probability of 2 independent events is the product of the individual events. Independent means the first event has no effect on the probability of the second event. Since we are replacing the first marble, the first even has no effect on the probability of the second event.
There are 48 total marbles
Let A = pulling a blue marble
Let B = pulling a red marble
So
P(A) = 14/48
P(B) = 19/48
and
P(A then B) = (14/48)(19/48) = 266/2,304 = 133/1,152
Answer:
The absolute value equation to represent the scenario is |x - 250| = 25. Also, the minimum amounts and maximum amounts that the artist received for her products is $225 and $275 respectively.
What is an equation?
An equation is an expression that shows the relationship between two or more variables and numbers.
Let x represent the amount the artist can receive for the goods, hence:
|x - 250| = 25
x - 250 = 25 or -(x - 250) = 25
x = 275 or x = 225
The absolute value equation to represent the scenario is |x - 250| = 25. Also, the minimum amounts and maximum amounts that the artist received for her products is $225 and $275 respectively.
Answer:
Step-by-step explanation:
perp. -4/3
y + 2 = -4/3(x - 3)
y + 2 = -4/3x + 4
y = -4/3x + 2
Let the two numbers be represented by x and y. The problem statement gives rise to two sets of equations.
x - y = 0.6
y/x = 0.6 . . . . . . . assuming x is the larger of the two numbers
or
x/y = 0.6 . . . . . . . assuming y has the larger magnitude
The solution of the first pair of equations is
(x, y) = (1.5, 0.9)
The solution of the first and last equations is
(x, y) = (-0.9, -1.5)
The pairs of numbers could be {0.9, 1.5} or {-1.5, -0.9}.
