The probability that the fourth digit is 4 is 1/6.
<h3>What is the probability?</h3>
Probability is used to calculate the odds that a random event would happen. The probability the event occurs is 1 and the probability that the event does not occur is 0.
Probability the number is 4 = 1 / possible numbers
Possible numbers = 4, 5, 6, 7, 8, 9,
= 1/6
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Answer: 6
Step-by-step explanation:
Because , . So, because angles in a triangle add to 180 degrees,
Explanation:
M is the slope of the equation, basically how much the line goes up or down each unit. To calculate the slope, we divide the rise over the run or
B is the y-intercept or when the line crosses the y-axis.
1. We can see the line moves 1 unit up every 3 units right. The line crosses the y-axis at (0,-4)
m = 1/3
b = -4
2. We can see the line goes 3 units down every 2 units right. The line crosses the y-axis at (0,4)
m = -3/2
b = 4
3. We can see the line goes 1 unit down every 4 units right. The line crosses the y-axis at (0,4)
m = -1/4
b = 4
4. We can see the line goes 1 unit down every 4 units right. The line crosses the y-axis at (0,2)
m = -1/4
b = 2
5. We can see the line goes 1 unit down every 1 unit right. The line crosses the y-axis at (0,1)
m = 1
b = 1
Answer:
-2007/4018
Step-by-step explanation:
1. Given
(1/3+1/4+...+1/2009)(1+1/2+...1/2008) - (1+1/3+1/4+...+1/2009)(1/2+1/3+...+1/2008)
2. Set new variable
k = 1/3+1/4+...+1/2008
3. Rewrite the equation
(k+1/2009)(1+1/2+k) - (1+k+1/2009)(1/2+k)
4. Simplify
(k+1/2009)(k+3/2) - (k+2010/2009)(k+1/2)
5. Expand
[k^2 + (1/2009 + 3/2)k + (1/2009)(3/2)] - [k^2 - (2010/2009+1/2)k - (2010/2009)(1/2)]
6. Rewrite
(1/2009 + 3/2 - 2010/2009 - 1/2)k + (1/2009)(3/2) - (2010/2009)(1/2)
7. Simplify
(3/2 - 2009/2009 - 1/2)k + 1/2(3/2009-2010/2009)
8. Evaluate
0*k + 1/2(-2007/2009)
= -2007/4018