Answer: 5/14
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Explanation:
A = event of drawing a blue card on the first selection
B = event of drawing a blue card on the second selection
P(A) = probability of drawing a blue card on the first selection
P(A) = (number of blue cards)/(number of cards total)
P(A) = 5/8
P(B|A) = probability of getting a second blue card GIVEN the first card is blue
P(B|A) = (number of blue cards left after event A happens)/(number of cards left)
P(B|A) = 4/7
The fact that B depends on A is very important. This happens because the first card is not replaced
Multiply the fractions
P(A)*P(B|A) = (5/8)*(4/7)
P(A)*P(B|A) = (5*4)/(8*7)
P(A)*P(B|A) = 20/56
P(A)*P(B|A) = 5/14
Which is why the answer is the fraction 5/14
Answer:
2y = x - 7
Step-by-step explanation:
The general equation of the line is;
y = mx + b
where m is the slope and b is the y-intercept
To get the slope, we use the slope formula
m = (y2-y1)/(x2-x1)
(x1, y1) = (3,-2)
(x2,y2) = (1,-3)
m = (-3+2)/(1-3) = -1/-2 = 1/2
So we have the equation as;
y = x/2 + b
Multiply through by 2
2y = x + 2b
To get the y-intercept value, we substitute any of the points
Let us use the first point
While 3 will go for x , -2 will go for y; thus we have;
2(-2) = 3 + 2b
-4 = 3 + 2b
2b = -4-3
2b = -7
b = -7/2
So the equation is;
2y = x -7
The first 6 is the thousands digit. The second is the hundreds digit. The relationship between the two is that they work together to represent the number six-thousand, six hundred (6,600).
The answer to this question is 37.5%
